61. Knots And Links In Braid Notation Listing of every knot of up to 11 crossings in braid notation. Useful for computer calculations in knot theory. http://www.scoriton.demon.co.uk/knots.html

a Knots and Links in Braid notation This document (this page with its associated tables) is intended as a resource for anyone interested in knots and links. Every knot up to 11 crossings and every link up to 10 crossings is listed here. The main feature of the listings is that every knot and link is shown with both its numeric notation and a braid notation. The numeric notation allows cross-reference with other works, while the braid notation is by far the easiest form to manipulate by computer. An n -crossing knot or link has a braid notation on at most 5/9.( n +2) strings [A] History of this document This section records the significant changes to this document, so that you can quickly tell if you need to download any information since your last visit. The most recent entries are at the top. 2002-01-06: Links added. This has expanded the tables to include all links up to 10 crossings, and expanded the list of errors in [C] to include those relating to links. 2000-10-19: My thesis [A] uploaded, and pointers to it added to this document. 2000-07-24: Braid index of 11(C123) is at least 4. No ? left anywhere in the tables. Removed 10(6VI) because it is the same as 10(5II), the Perko pair. Thanks to Richard Hadji and Hugh Morton.

62. The Math Forum - Math Library - Knot Theory mathematics. This page contains sites relating to knot theory. Browse and Search the Library Home Math Topics Topology knot theory. http://mathforum.org/library/topics/knot_theory/

Browse and Search the Library Home Math Topics Topology : Knot Theory Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category The KnotPlot Site - Robert Scharein A collection of knots and links, viewed from a partly mathematical perspective. Images on this site were created with KnotPlot, a program designed to visualize and manipulate mathematical knots in three and four dimensions. A picture gallery, description of the features of the program, and links to other relevant sites on the Web are included. Also available at http://www.pims.math.ca/knotplot/ more>> Knots on the Web - Peter Suber, Earlham College A comprehensive list of knot resources on the Web, annotated and organized into three categories: knot tying, knot theory, and knot art. Also Knot books and a Knots Gallery displaying images from the newsgroup rec.crafts.knots. more>> Knot Theory (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material on geometric questions arising from knot embeddings. more>> KT (Knot Theory) Online - Bryson R. Payne; North Georgia College and State University

63. Math Forum - Ask Dr. Math Associated Topics Dr. Math Home Search Dr. Math What is knot theory? Date 03 anything. Question What is knot theory? Purpose http://mathforum.org/library/drmath/view/51653.html

Associated Topics Dr. Math Home Search Dr. Math What is Knot Theory? Date: 03/10/98 at 23:46:23 From: keatha Subject: the knot theory Dear Dr. Math, In order for me to complete my project on knot theory, I need a question, hypothesis, and a purpose. I have this information, I just want you to proofread it to see if I need to add anything or delete anything. Question: What is Knot Theory? Purpose: To prove that knot theory is related to topology. Hypothesis: If topology deals with the bending of objects, then it (knot theory) is related to topology. Thanks a million, Keatha Date: 03/11/98 at 10:32:24 From: Doctor Sonya Subject: Re: the knot theory Dear Keatha, I just wrote a big paper on knot theory. What a great topic to choose. Your question is good, and your hypothesis is correct that topology deals with the bending of objects, and that topology is related to knot theory. However, if you really want to answer the question, "What is knot theory?" I don't think, "Knot theory is related to topology." is enough of an answer. When you get to the real details of it, knot theory is also closely related to modern algebra (although you'd never know it from all the pretty pictures of knots!). The most exciting thing about knot theory that deals with the bending and twisting of knots is something called the "Jones Polynomial," discovered by a mathematician named Jones and written about by Louis Kauffman. If you still have to do more research, this might be interesting for you to include. Also, take a look at "The Knot Theory Home Page"

64. Kook Seminar On Knots (July 2004) First KOOK Seminar International conference for knot theory and Related Topics. (1st announcement). This is the first announcement http://comp.uark.edu/~yoav/kook.html

First KOOK Seminar International conference for Knot Theory and Related Topics (1st announcement) This is the first announcement for the KOOK Seminar International Conference for Knot Theory and Related Topics, to be held July 8- - 14, 2004 in Awaji Yumebutai (near Osaka, Japan). For details, including a list of invited speakers, please click here Prior to conference an International Graduate Course Student Workshop for Knot Theory and Related Topics will be held in Osaka City University, July 5 7, 2004. For more details please click here Limited financial support is available for both conferences. To apply for financial support and to give a contributed talk, please send an e-mail to the address below. Please mention whether you are interested in giving a contributed talk at the KOOK seminar or a talk at the workshop. Deadline for application is April 29th; sometime after that we will let applicants know how much support is available. You may apply past the deadline; however application received past the deadline will be funded only if finds are still available. To apply or for more information, please e-mail Yuko Komori at

65. Knot Theory - Wikipedia, The Free Encyclopedia knot theory. From Wikipedia, the free encyclopedia. knot theory is a branch An introduction to knot theory. Given a onedimensional line http://en.wikipedia.org/wiki/Knot_theory

Knot theory From Wikipedia, the free encyclopedia. Knot theory is a branch of topology that was inspired by observations, as the name suggests, of knots . But progress in the field no longer depends on experiments with twine. Knot theory concerns itself with abstract properties of theoretical knotsthe spatial arrangements that in principle could be assumed by a loop of string. In mathematical jargon , knots are embeddings of the closed circle in three-dimensional space. Table of contents 1 History 2 An introduction to knot theory 2.1 Reidemeister moves 3 See also ... edit History Knot theory originated in an idea of Lord Kelvin 's (1867), that atoms were knots of swirling vortices in the æther , and that an understanding and classification of all possible knots would explain why atoms absorb and emit light at only the discrete wavelengths that they do (i.e. explain what we now understand to depend on quantum energy levels http://www.ma.hw.ac.uk/RSE/meetings_etc/ordmtgs/2001/reports/knots.htm http://www.kpbsd.k12.ak.us/kchs/JimDavis/CalculusWeb/Knot%20Theory%20History.htm The vortex theory has been disreguarded by some, but the general knot theory has grown into a subject with wide and often unexpected applications, for example to theories of

66. Problems In Knot Theory Problems in knot theory. There are already several collections of problems in knot theory available. So this is mainly a collection http://math.ucr.edu/~xl/knotprob/knotprob.html

Problems in Knot Theory There are already several collections of problems in knot theory available. So this is mainly a collection of problems of personal interest. Feel free to send me any comments you might have: maybe the answer is obvious, maybe the answer exists already in literature, maybe the problem should be attributed more appropriately, etc. Also, it is welcome if anyone would like to suggest some problems to this collection. Nevertheless, since this is a personal collection, I reserve the right to decide whether to put the suggested problems into this collection according to my own taste. Surgery modification is a procedure of modifying a link in or by performing a Dehn surgery on an unknotted circle having linking number zero with all components of the link in question. Surgery equivalence is then the equivalence relation generated by surgery modification. The classification of links up to surgery equivalence is done by J. Levine (Topology,1987). We may refine the notion of surgery modification as follows. For simplicity, let us consider only links with vanishing linking numbers. If we assume further that the unknotted circle used to perform a surgery modification has vanishing Milnor's triple linking numbers with other componenets of the given link, we call such a surgery modification of "second order". It can be shown that the Sato-Levine invariant is invariant under surgery modification of second order. Classify links with zero linking numbers up to surgery equivalence of second order.

67. Knot Theory knot theory. knot theory is a branch of topology that was inspired by observations, as the name suggests, of knots. An introduction to knot theory. http://www.fact-index.com/k/kn/knot_theory.html

Main Page See live article Alphabetical index Knot theory Knot theory is a branch of topology that was inspired by observations, as the name suggests, of knots . But progress in the field no longer depends on experiments with twine. Knot theory concerns itself with abstract properties of theoretical knotsthe spatial arrangements that in principle could be assumed by a loop of string. In mathematical jargon, these are embeddings of the closed circle in three dimensional space. Knot theory originated in an idea of Lord Kelvin 's, that atoms were knots of swirling vortices in the , and that an understanding and classification of all possible knots would explain why atoms absorb and emit light at only the discrete wavelengths that they do (i.e. explain what we now understand to depend on quantum energy levels). The vortex theory died, but knot theory has grown into a subject with wide and often unexpected applications, for example to theories of particle physics DNA replication and recombination , and to areas of statistical mechanics Table of contents 1 An introduction to knot theory 1.1 Reidemeister moves

68. QA Quantum Algebra Kawauchi, A., A Survey of knot theoryA Survey of knot theory. 1996. 444 pages. Reviews. knot theory is a rapidly developing field of research with many applications not only for mathematics. http://eprints.math.duke.edu/archive/q-alg

Fri 4 Jun 2004 Search Submit Retrieve Subscribe ... iFAQ QA Quantum Algebra Calendar Search Authors: All AB CDE FGH ... U-Z New articles (last 12) 4 Jun math.QA/0406062 Quantum- and Quasi-Plucker Coordinates. Aaron Lauve . 26 pages. QA 4 Jun math.QA/0406060 A Kato-Lusztig formula for nonsymmetric Macdonald polynomials. Bogdan Ion QA RT 3 Jun math.QA/0406035 Constructions of vertex operator coalgebras via vertex operator algebras. Keith Hubbard . 13 pages. QA 2 Jun math.QA/0406005 Braided Cyclic Cocycles and Non-Associative Geometry. S. E. Akrami , S. Majid . 36 pages. QA KT 31 May math.QA/0405556 Dynamical reflection equation. Petr Kulish , Andrey Mudrov . 40 pages. QA 28 May math.QA/0405517 Fiber Functors on Temperley-Lieb Categories. Yamagami Shigeru . 19 pages. QA CT Cross-listings 1 Jun math.AG/0405600 Integral operators and integral cohomology classes of Hilbert schemes. Zhenbo Qin , Weiqiang Wang . 21 pages. AG QA 1 Jun math.RA/0405593 Non-commutative duplicates of finite sets. Claude Cibils RA QA KT 27 May math.GT/0405504 Knot theory related to generalized and cyclotomic Hecke algebras of type B. Sofia Lambropoulou . 35 pages. J. Knot Theory and its Ramifications

69. The EMS Home Page knot theory and Cryptography Research Group. Department of Mathematics Korea Advanced Institute of Science and Technology. Intro. What is knot theory?(Korean). http://emis.kaist.ac.kr/

EMIS The European Mathematical Information Service supported by the European Mathematical Society (EMS) For fastest access: Choose your nearest site. Europe: Amsterdam Barcelona Beograd Berlin (master), Brno Budapest Diepenbeek Dublin ... Wien Other: Adelaide (AU) Ankara (TR) Brasilia (BR) Corrientes (AR) ... Shanghai (CN) About the EMS Projects General information Jahrbuch Project EMS Activities ... JEMS (Journal of the EMS) ActiveMath EMS Publishing House MoWGLI Membership Literature Databases Member Societies Zentralblatt MATH - 1931-now Individual Members MATHDI - Didactics of Mathematics How to join the EMS EULER - Mathematics Portal Benefits of membership CompuScience - Computer Science MPRESS - Preprint Index Electronic Library of Mathematics News Classics/Opera Omnia Conference Calendar ... Contact Addresses Master server operated by

70. Knot Theory Links knot theory Links. knot theory for Teachers. http//www.csuchico.edu/math/mattman/NSF.html. Knots on the Web. knot theory Online. http//www.freelearning.com/knots/. http://www.csuchico.edu/math/mattman/NSF/Links.html

Knot Theory Links Knot Theory for Teachers http://www.csuchico.edu/math/mattman/NSF.html Knots on the Web http://www.earlham.edu/~peters/knotlink.htm Knot Plot http://www.pims.math.ca/knotplot/ A Knot Zoo http://www.pims.math.ca/knotplot/zoo/zoo1.html Knot Theory Online http://www.freelearning.com/knots/ Tie Me Up http://www.math.cuhk.edu.hk/publect/lecture4/ A Knot Theory Primer http://www.inst.bnl.gov/~wei/contents.html Mathematics and Knots http://www.cpm.informatics.bangor.ac.uk/exhib/knotexhib.html MathWorld's Knot Theory http://mathworld.wolfram.com/KnotTheory.html Planet Math's Knot Theory http://planetmath.org/encyclopedia/KnotTheory.html The Mathematical Atlas http://www.math.niu.edu/~rusin/known-math/index/57MXX.html Knots to a Mathematician http://129.49.101.235/math/index.html#lectures Colourful knot zoo http://www.pims.math.ca/knotplot/zoo/knotzoo.html Hyperbolic Knots http://www.pims.math.ca/knotplot/hyper/census.html Last Updated: February 24, 2004 Please let us know about any links that are not working, or send additional link suggestions to TMattman@csuchico.edu

71. M392C APPLIED KNOT THEORY M392C APPLIED knot theory. 8/26, Introduction Chirality, DNA, Kinetoplast DNA. Article Sumners, DW The role of knot theory in DNA research. http://www.utdallas.edu/~darcy/TEACH/392c.html

M392C: APPLIED KNOT THEORY Introduction: Chirality, DNA, Kinetoplast DNA Article: Sumners, D. W. The role of knot theory in DNA research. Geometry and topology (Athens, Ga., 1985), 297-318, Lecture Notes in Pure and Appl. Math., 105, Dekker, New York, 1987. Article: Chen J. Rauch CA. White JH. Englund PT. Cozzarelli NR. T he topology of the kinetoplast DNA network Cell . 80(1):61-9, 1995 Jan 13. Related Article: Chen J. Englund PT. Cozzarelli NR. Changes in network topology during the replication of kinetoplast DNA EMBO Journal . 14(24):6339-47, 1995 Dec 15. Related Article: Ryan, KA. Shapiro, TA. Rauch, CA. Griffith, J. Englund PT. A knotted free minicircle in kinetoplast DNA PNAS . 85, 5844-5848, Aug 1988. Lk = Tw + Wr Related Article: White, James H. An introduction to the geometry and topology of DNA structure Mathematical methods for DNA sequences , 225253, CRC, Boca Raton, FL, 1989. Replication, Topoisomerases, Recombinases, Gel electrophoresis, Transcription, Translation Comic book: I. Rosenfield, E. Ziff, B. van Loon, DNA for Beginners , A Writers and Readers Documentary Comic Book 1983.

72. Knot Theory knot theory. Fred Curtis Mar 2001. This What is knot theory? knot theory is a branch of mathematics dealing with tangled loops. When http://f2.org/maths/kt/

Up to Home Maths Site Map Text version Knot Theory Fred Curtis - Mar 2001] This page is a tiny introduction to Knot Theory. It describes some basic concepts and provides links to my work and other Knot Theory resources. What is Knot Theory? My Interests Old papers I'm typing up References What is Knot Theory? Knot theory is a branch of mathematics dealing with tangled loops. When there's just one loop, it's called a knot . When there's more than one loop, it's called a link and the individual loops are called components of the link. A picture of a knot is called a knot diagram or knot projection . A place where parts of the loop cross over is called a crossing . The simplest knot is the unknot or trivial knot , which can be represented by a loop with no crossings. The big problem in knot theory is finding out whether two knots are the same or different. Two knots are regarded as being the same if they can be moved about in space, without cutting, to look exactly like each other. Such a movement is called an ambient isotopy - the ambient refers to moving the knot through 3-dimensional space, and

73. A Family Of Impossible Figures Studied By Knot Theory A family of impossible figures studied by knot theory Corinne Cerf. Mathematics Dept., CP 216. Université Libre de Bruxelles. B1050 Bruxelles, Belgium. http://www.mi.sanu.ac.yu/vismath/cerf/

A family of impossible figures studied by knot theory Corinne Cerf Mathematics Dept., CP 216 B-1050 Bruxelles, Belgium ccerf@ulb.ac.be 1. Introduction Impossible figures are fascinating objects, related to art, psychology, and mathematics [ ]. Lionel and Roger Penrose (father and son) introduced the impossible tribar in 1958 [ Fig. 1 ). A figure is called impossible when "a contradiction in our interpretation is noticed but does not result in our rejecting it in favour of a consistent one" [ ]. The object represented in Fig. 1 is an impossible figure because our mind tries to interpret it as a three-dimensional (3D) object in the Euclidean space, with straight edges and planar faces, instead of interpreting it, for example, as a two-dimensional object drawn on the paper plane (which is perfectly possible). Fig. 1 Impossible figures have inspired researchers with more than one hundred papers (see Kulpa [ ] for an extensive bibliography), and the Dutch artist Escher [ ] with some famous drawings (see e.g. Fig. 2

74. Lukol Directory - Science Math Topology Knot Theory web. Sections on knot tying, mathematical knot theory, knot art, and knot books. http//www.earlham.edu/~peters/knotlink.htm. Knot http://www.lukol.com/Top/Science/Math/Topology/Knot_Theory/

Lukol Directory - Science Math Topology ... Knots on the Web (Peter Suber) The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books. http://www.earlham.edu/~peters/knotlink.htm Knot Theory An overview of knot theory from Mathworld http://mathworld.wolfram.com/topics/KnotTheory.... Knot Plot A collection of knots and links, viewed from a (mostly) mathematical perspective. Nearly all of the images here were created with KnotPlot, a program to visualize and manipulate mathematical knots in three and four dimensions. http://www.pims.math.ca/knotplot/ Knot Theory Group University of Liverpool Links to preprints and to programs written in pascal for doing knot calculations. http://www.liv.ac.uk/PureMaths/MIN_SET/CONTENT/... Thomas Fink (Tie Knots) Thomas Fink and Yong Mao, used ideas from statistical mechanics to show there are 85 ways to tie a tie. They discovered a number of new aesthetically pleasing tie knots. This page has links to their original papers and to their book ``The 85 Ways to Tie a Tie''. http://www.tcm.phy.cam.ac.uk/~tmf20/

75. Knot Theory - Encyclopedia Article About Knot Theory. Free Access, No Registrati encyclopedia article about knot theory. knot theory in Free online English dictionary, thesaurus and encyclopedia. Provides knot theory. Word http://encyclopedia.thefreedictionary.com/knot theory

Dictionaries: General Computing Medical Legal Encyclopedia Knot theory Word: Word Starts with Ends with Definition Knot theory is a branch of topology Topology See also: earth science, physical geography, human geography, geomorphology In architecture, topology is a term used to describe spatial effects which can not be described by topography, i.e., social, economical, spatial or phenomenological interactions. Click the link for more information. that was inspired by observations, as the name suggests, of knots Alternate meanings in knot (disambiguation) A knot is a method for fastening or securing linear material such as rope by tying or interweaving. It may consist of a length of one or more segments of rope, cord, webbing, twine, string, strap or even chain interwoven so as to create in the line the ability to bind to itself or to some other object - the "load". Some knots are well adapted to bind to particular objects such as another rope, cleat, ring, stake or to constrict an object. Decorative knots usually bind to themselves to produce attractive patterns. Click the link for more information.

76. Knot Theory knot theory. knot theory studies the placement of onedimensional objects called strings 23,24,25 in a three-dimensional space. http://www.drchaos.net/drchaos/Book/node141.html

Next: Crossing Convention Up: Knots and Templates Previous: Example: Duffing Equation Knot Theory Knot theory studies the placement of one-dimensional objects called strings [23,24,25] in a three-dimensional space. Figure 5.6: Planar diagrams of knots: (a) the trivial or unknot ; (b) figure-eight knot ; (c) left-handed trefoil ; (d) right-handed trefoil; (e) square knot ; (f) granny knot. A simple and accurate picture of a knot is formed by taking a rope and splicing the ends together to form a closed curve. A mathematician's knot is a non-self-intersecting smooth closed curve (a string ) embedded in three-space. A two-dimensional planar diagram of a knot is easy to draw. As illustrated in Figure , we can project a knot onto a plane using a solid (broken) line to indicate an overcross (undercross). A collection of knots is called a link (Fig. Figure 5.7: Link diagrams: (a) Hopf link ; (b) Borromean rings ; (c) Whitehead link The same knot can be placed in space and drawn in planar diagram in an infinite number of different ways. The equivalence of two different presentations of the same knot is usually very difficult to see. Classification of knots and links is a fundamental problem in topology. Given two separate knots or links we would like to determine when two knots are the same or different. Two knots (or links) are said to be

77. Colin Adams The Knot Book. An Elementary Introduction To The Yale UP 1989 ?. R. Crowell/R. Fox Introduction to knot theory. Ginn 1963. Ralph Fox Recent developments of knot theory of Princeton. Proc. Int. http://felix.unife.it/Root/d-Mathematics/d-Geometry/b-Knot-theory

Colin Adams: The knot book. An elementary introduction to the mathematical theory of knots. Freeman 1994, 310p. 0-7167-2393-X. $24. [= Das Knotenbuch. Spektrum 1995, 300p. DM 78.] 6940 Colin Adams: Tilings of space by knotted tiles. Math. Intell. 17/2 (1995), 41-51. 7379 Martin Aigner/J. Seidel: Knoten, Spinmodelle und Graphen. Jber. DMV 97 (1995), 75-96. J. Alexander: A lemma on a system of knotted curves. Proc. Nat. Ac. Sci. USA 9 (1923), 93-95. 5884 Emil Artin: Theorie der Zoepfe. Hamb. Abh. 4 (1925), 47-72. [5883 Artin, 416-441] 5885 Emil Artin: Theory of braids. Annals of Math. 48 (1947), 127-136. [5883 Artin, 446-471] 5886 Emil Artin: Braids and permutations. Annals of Math. 48 (1947), 643-649. [5883 Artin, 472-478] 5887 Emil Artin: The theory of braids. American Scientist 38 (1950), 112-119. [5883 Artin, 491-498] 2524 Clifford Ashley: Il grande libro dei nodi. Rizzoli 1989. 890 Michael Atiyah: The frontier between geometry and physics. Jber. DMV 91 (1989), 149-158. R. Baxter: Exactly solved models in statistical mechanics. Academic Press 1982. 2539 Joan Birman: Braids, links and mapping class groups. Princeton UP 1974. 2227 Joan Birman: Recent developments in braid and link theory. Math. Intell. 13/1 (1991), 52-60. 2236 J. Birman/H. Wenzl: Braids, link polynomials and a new algebra. Trans. AMS 313 (1989), 249-273. [3291] 5880 Gerhard Burde/Heiner Zieschang: Knots. De Gruyter 1985, 400p. 3-11-008675-1. DM 140. L. Crane: Topology of 3-manifolds and conformal field theories. Yale UP 1989 [?]. R. Crowell/R. Fox: Introduction to knot theory. Ginn 1963. M. Culler/C. Gordon/J. Luecke/P. Shalen: Dehn surgery on knots. Annals of Math. 125 (1987), 237-300. David Farmer/Theodore Stanford: Knots and surfaces. AMS 1996, 100p. 0-8218-0451-0. $19. 12154 Jose' Manuel Fernandez de Labastida: Knoten in der Physik. Spektrum 1998/10, 66-72. 5870 M. Fort (ed.): Topology of 3-manifolds. Prentice-Hall 1962. Ralph Fox: Recent developments of knot theory of Princeton. Proc. Int. Congress Math. 2 (1950), 453-457. 5871 Ralph Fox: A quick trip through knot theory. 5870 Fort, 120-176. 5872 Ralph Fox: Knots and periodic transformations. 5870 Fort, 177-182. 5874 Ralph Fox/O. Harrold: The Wilder arcs. 5870 Fort, 184-187. 2241 Peter Freyd a.o.: A new polynomial invariant on knots and links. Bull. AMS 12 (1985), 239-246. [3291] Peter Freyd/D. Yetter: Braided compact closed categories with applications to low dimensional topology. Adv. Math. 77 (1989), 156-182. D. Fuchs: Cohomologies of the braid group mod 2. Funct. Anal. appl. 4 (1970), 143-151. D. Gabai: Foliations and surgery on knots. Bull. AMS 15 (1986), 83-97. N. Gilbert/T. Porter: Knots and surfaces. Oxford UP 1994, 240p. 0-19-853397-7. Pds. 30. "The text is very well written, detailed motivations of concepts and clear explanations replace unnecessary formalism." (Peter Schmitt) 5873 Herman Gluck: The reducibility of embedding problems. 5870 Fort, 182-183. D. Goldschmidt: Group characters, symmetric functions, and the Hecke algebra. AMS 1993, 70p. Pds. 49. "Dieser vorzuegliche Band, dicht gepackt mit Mathematik von allererster Guete, gibt eine Vorlesung wieder, die der Autor 1989 in Berkeley gehalten hat und deren Hauptziel es ist, ein tieferes Verstaendnis der Markovspur und somit des fuer die Knotentheorie so wichtigen Jonespolynoms zu vermitteln." (Harald Rindler). W. Haken: Ueber das Homoeomorphieproblem der 3-Mannigfaltigkeiten I. Math. Zeitschr. 80 (1962), 89-120. V. Hansen: Braids and coverings. Cambridge UP 1989. Geoffrey Hemion: The classification of knots and 3-dimensional spaces. Oxford UP 1992, 160p. 0-19-859697-9. $44. Geoffrey Hemion: On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds. Acta Math. 142 (1979), 123-155. F. Jones: Subfactors and knots. AMS 1991, 113p. DM 110. "An enormous amount of material is contained in this short CBMS series of lectures, and what is more, the author is able to link together completely disparate topics such as von Neumann algebras, braid groups, links, and Hecke algebras. Even a superficial perusal of the book will teach something. It belongs on every mathematician's shelf." (G.C. Rota). 6630 Vaughan Jones: Teoria dei nodi e meccanica statistica. 6626 Israel, 27-32. 2240 Vaughan Jones: A polynomial invariant for knots via von Neumann algebras. Bull. AMS 12 (1985), 103-111. [3291] 5877 Vaughan Jones: Hecke algebra representations of braid groups and link polynomials. Annals Math. 126 (1987), 335-388. 4783 Vaughan Jones: Knots in mathematics and physics. 4727 Casacuberta/Castellet, 70-77. 2028 Louis Kauffman: On knots. Princeton UP 1987. Louis Kauffman: Knots and physics. World Scientific 1991, 500p. 981-02-0344-6 (pb). Pds. 19. 5869 Louis Kauffman: Formal knot theory. Princeton UP 1983. 0-691-08336-3. $28. 2234 Louis Kauffman: State models and the Jones polynomial. Topology 26 (1987), 395-407. [3291] Louis Kauffman/S. Lins: Temperley-Lieb recoupling theory and invariants of 3-manifolds. Princeton UP 1994, 300p. 0-691-03640-3 (pb.). $28. 5879 Louis Kauffman/Pierre Vogel: Link polynomials and a graphical calculus. J. Knot Theory and ramif. 1 (1992), 59-104. A. Kawauchi: A survey on knot theory. Birkha''user 1996, 440p. 3-7643-5124-1. SFR 98. 5882 K. Lamotke: Besprechung des Buches "Knots" von Burde/Zieschang. Jber. DMV 90 (1988), B 31-32. 2242 W. Lickorish: Polynomials for links. Bull. London Math. Soc. 20 (1988), 558-588. [3291] W. Lickorish: Prime knots and tangles. Trans. AMS 267 (1981), 321-332. 2775 W. Lickorish: Three-manifolds and the Temperley-Lieb algebra. Math. Annalen 290 (1991), 657-670. W. Lickorish: An introduction to knot theory. Springer 1997, 200p. DM 89. 6283 Charles Livingston: Periodic knots and Maple. Notices AMS 38 (1991), 785-788. Charles Livingston: Knot theory. MAA 1994. C. McCrory/T. Schifrin (ed.): Geometry and topology, varieties and knots. Dekker 1987. 15064 Kishore Marathe: A chapter in physical mathematics - theory of knots in the sciences. In 15031 Engquist/, 873-888. H. Morton: Threading knot diagrams. Math. Proc. Camb. Phil. Soc. 99 (1986), 246-260. 2235 H. Murakami: A formula for the two-variable link polynomial. Topology 26 (1987), 409-412. [3291] K. Murasugi: Knot theory and its applications. Birkha''user 1996, 340p. 3-7643-3817-2. SFR 98. L. Neuwirth: Knot groups. Princeton UP 1965, 110p. 0-691-07991-9. $7. L. Neuwirth (ed.): Knots, groups, and 3-manifolds. Princeton UP 1975. P. Papi/C. Procesi: Invarianti di nodi. Quaderni UMI 1998, 200p. K. Perko: On the classification of knots. Proc. AMS 45 (1974), 262-266. 5878 William Pohl: DNA and differential geometry. Math. Intell. 3 (1980), 20-27. J. Przytycki/P. Traczyk: Invariants of links of Conway type. Kobe J. Math. 4 (1987), 115-139. 6126 K. Rehren: Quantum symmetry associated with braid group statistics. 2853 Doebner/Hennig, 318-339. 2678 K. Reidemeister: Knotentheorie. Chelsea 1948. N. Reshetiken: Quantized universal enveloping algebras, the Yang-Baxter equation, and invariants of links I-II. Steklov Inst. 1987 [?]. 5868 Dale Rolfsen: Knots and links. Publish or Perish 1976. H. Schubert: Bestimmung der Primfaktorzerlegung von Verkettungen. Math. Zeitschrift 76 (1961), 116-148. H. Seifert/W. Threlfall: Old and new results on knots. Can. J. Math. 2 (1950), 1-15. J. Simon: Topological chirality of certain molecules. Topology 25 (1986), 229-235. 14821 Alexei Sossinsky: Mathematik der Knoten. Rowohlt 2000, 160p. DM 17. S. Spengler/A. Stasiak/N. Cozzarelli: The stereostructure of knots and catenanes produced by phage lambda integrative recombination. Implications for mechanism and DNA structure. Cell 42 (1985), 325-334. 12242 Ian Stewart: Katzenkorbknotenknobelei. Spektrum 1999/1, 8-10. 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78. Science, Math, Topology: Knot Theory A Circular History of knot theory Starting with the flawed theory of Kelvin s knotted vortex to the work of Thurston, Jones and Witten, knot theory has http://www.combose.com/Science/Math/Topology/Knot_Theory/

Top Science Math Topology ... Research Oriented Related links of interest: Science:Math:Topology:Geometric Topology Reference:Knots A Circular History of Knot Theory - Starting with the flawed theory of Kelvin's knotted vortex to the work of Thurston, Jones and Witten, knot theory has circled back to its ancestral origins of theoretical physics. A Knot Theory Primer - Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a tabulation of knots with up to 12 crossings. A Third Year Lecture Course on Knots - Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and braids. BraidLink - Braidlink is software for knot and braid theory computations. It performs both analytic and numerical manipulations of knots and braids. Cook's Borromean Ring Links - Links to pages and two outlines of proofs that show the Borromean rings can't be made from circular rings. Geometry and the Imagination - Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology. Harmonic Knots - An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings.

79. Www.birkhauser.com/cgi-win/ISBN/0-8176-3817-2 Science Search knot theory 997. 3. A knot theory Primer Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has http://www.birkhauser.com/cgi-win/ISBN/0-8176-3817-2

FAQs cart add this title Search all books Title Author Series ISBN Keyword Choose a subject area Computer Science Engineering Life Sciences Mathematics Medicine Physics Statistics GO TO Journals Springer NY Princeton Architectural Press Copernicus ... Help/FAQ Go to the Mathematics home page Knot Theory and Its Applications Kunio Murasagi B. Kurpita , The Daiwa-Anglo Japanese Foundation Price $79.95 352 pages 292 illus., hardcover ISBN: 0-8176-3817-2, published 1996 Textbook Limited stock: Order now! (If we are unable to ship within 2-3 days, we will notify you.) EMAIL THIS PAGE TEXTBOOK APPROVAL ABOUT THIS BOOK Knot theory is a concept in algebraic topology that has found applications in a variety of mathematical problems as well as in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of research workers and beginning graduate students in these fields. It contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials, as well as more recent developments and special topics such as chord diagrams and covering spaces. It is an introduction to the fascinating study of knots and provides insight into recent applications to such studies as

80. Knot Theory knot theory. Wake Forest University, June 2428. knot theory is a great topic for exciting students about mathematics. It is visual and hands on. http://www.maa.org/prep/adams.html

Search MAA Online MAA Home Knot Theory Wake Forest University, June 24-28 Organized and Presented by: Colin Adams, Williams College Knot theory is a great topic for exciting students about mathematics. It is visual and hands on. Students can begin working on problems the first day with their shoelaces. Knot theory is also an incredibly active field. There is a tremendous amount of work going on currently, and one can easily state open problems. It also has important applications to chemistry, biochemistry and physics. This workshop is aimed at college and university teachers who are interested in knowing more about knot theory. There is no assumption of previous background in the field, however a familiarity with basic topology will help. The goals of the workshop are as follows: 1. Participants will be able to teach an undergraduate course in knot theory. 2. Participants will be able to do research in knot theory. 3. Participants will be able to direct student research in knot theory. Each day will be divided into a morning session when we learn about specific topics in knot theory and an afternoon session, when we conjecture wildly, throw around ideas, and do original research. Information about the workshop presenter: Colin Adams is the Francis C. Oakley Third Century Professor of Mathematics at Williams College. He wrote "The Knot Book: an Elementary Intorduction to the Mathematical Theory of Knots" and has taught an undergraduate course on knot theory many times. He has published over 30 articles on knot theory and related subjects. He has directed over 40 undergraduate students on research in knot theory and co-authored papers with a total of 33 different undergraduates. Adams received the Haimo Distinguished Teaching Award of the MAA in 1998, was a Polya Lecturer for the MAA 1998-2000, and is currently a Sigma Xi Lecturer.

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