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Title: Math/Topology/Knot Theory - 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.
The_KnotPlot_Site Has a large number of beautiful graphics of knots created with KnotPlot. Contains an introductory section on mathematical knot theory. KnotPlot software for various platfroms can be downloaded.

Knotscape By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.

Mathematics_and_Knots_Exhibition High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots and applications of knot theory.

Megamath_Knot_Theory_Page An introductory overview of knot theory.

Morwen_Thistlethwaite\'s_Home_Page Has many beautiful images of symmetric knots, and information about a computer program called Knotscape (compiled binaries for Linux, Sunos and Alpha platforms). Includes pictures of knots with 13 cr

New_Knot_Tables Covers families of knots of p, pq, p1q, p11q, p111q, pqr, pq1r types. Explains properties and notations. Includes diagram photos.


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Contents

Table of Contents

A Knot Theory Primer An Introduction to Knot Theory Showing Knot Equivalence Showing Knot Inequivalence An Introduction to Braid Theory The Knot Group The "Color Tests" The Alexander-Conway Polynomial The other Alexander Polynomials The HOMFLYPT polynomial Non-Linear Color Tests The Problem of Knot Classification Denoting Regular Knot projections Denoting Regular Knot projections, the Sequel When is a notation drawable? Equal Drawability Identifying Equivalent Knot Projections Ordering Knot Notations Connected Sums Comparing Regular Knot Projections Results for Various NF Calculating the Alexander polynomials Obtaining the other Alexander polynomials The Knot Table The list with knots and their invariants (up to 12 crossings) The computer output file for 12 crossing knots Knots on a Cubic Lattice The Closed Self-Avoiding Walk (SAW) Notation Equivalence moves The Problem of the Tabulation of Links What do KNOTS and LINKS have in common? Vive la Difference! How good is the Link Notation? The Challenges Who is thy neighbor? To draw or not to draw... Different Notations - Identical Presentations Ordering the Links "New" Link Invariants Prime Links Link Tabulation Algorithm List of Links Colorization Invariants - Component Number / Link Number Colorization Invariants - S(3) Group Colorization Invariants - S(4) Group Colorization Invariants - S(5) Group Colorization Invariants - S(6) Group Colorization Invariants - S(7) Group Colorization Invariants - S(9) Group Showing that the links are non-trivial Are the links prime? Proving that the links cannot be decomposed This is the latest addition to this online tutorial. Its goal is to extend the discussion from the study of knots to the study of links. You may be interested in my published book, The Mystery of Knots Charilaos Aneziris charilaos_aneziris@standardandpoors.com Copyright 1995, 2001 COPYRIGHT STATEMENT Educational institutions are encouraged to reproduce and distribute these materials for educational use free of charge as long as credit and notification are provided. For any other purpose except educational, such as commercial etc, use of these materials is prohibited without prior written permission.
 

Comprehensive

knot

theory

site

focusing

on

the

knot

classification

problem

and

knot

tabulations.

Has

a

tabulation

of

knots

with

up

to

12

crossings.

http://www.inst.bnl.gov/~wei/contents.html

A Knot Theory Primer 2008 December

dvd rental

dvd


Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a tabulation of knots with up to 12 crossings.

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