Sites

Mathematics and Knots Exhibition (Popularity: )

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

Knots on the Web (Peter Suber) (Popularity: )

The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical ...

Knot Theory Invariants: The HOMFLY Polynomial (Popularity: )

A brief article on the HOMFLY polynomial and how it is calculated.

BraidLink (Popularity: )

Braidlink is software for knot and braid theory computations. It performs both analytic and numerical ...

Morwen Thistlethwaite's Home Page (Popularity: )

Has many beautiful images of symmetric knots, and information about a computer program called Knotscape ...

A Knot Theory Primer (Popularity: )

Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a ...

A Circular History of Knot Theory (Popularity: )

Starting with the flawed theory of Kelvin's knotted vortex to the work of Thurston, Jones ...

Using Topology to Probe the Hidden Action of Enzymes (Popularity: )

Describes how knot theory is used to understand the action of enzymes that affect DNA ...

The KnotPlot Site (Popularity: )

Has a large number of beautiful graphics of knots created with KnotPlot. Contains an introductory ...

A Third Year Lecture Course on Knots (Popularity: )

Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, ...

History of Knot Theory (Popularity: )

Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including ...

String Figure Mathematics (or Trivial Knot Theory) (Popularity: )

A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with ...

Harmonic Knots (Popularity: )

An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings.

Knot Plot (Popularity: )

A collection of knots and links, viewed from a (mostly) mathematical perspective. Nearly all of ...

A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links (Popularity: )

A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and ...

Geometry and the Imagination (Popularity: )

Has a small section on knot theory at an introductory level. Also has sections on ...

The Knot Theory Home Page (Popularity: )

Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.

Knot Polynomials (Popularity: )

Research paper on a state-space representation of the HOMFLY polynomial, by B. Bollobás, L. Pebody ...

The Geometry Junkyard: Knot Theory (Popularity: )

A page of links on geometric questions arising from knot embeddings.

Kauffman, Louis H (Popularity: )

A topologist working in knot theory discusses the connection between knot theory and statistical mechanics. ...