The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, knot discussion forums, knot software, knot videos, and knot books. Also a knot gallery.
Information about various facets of knot theory.
1: String figure mathematics (or trivial knot theory). 2: The origin of string figures. 3: Invented string figures.
Knot Theory There is of course an enormous body of work on knot invariants, the 3-manifold topology of knot complements, connections between knot theory and statistical mechanics, etc. I am instead interested here primarily in geometric questions arising from knot embeddings. Atlas of oriented knots and links, Corinne Cerf extends previous lists of all small knots and links, to allow each ...
Course material Prerequisites Little more than linear algebra plus an ability to visualise objects in 3-dimensions. Some knowledge of groups given by generators and relations, and some basic topology would be helpful. The lectures and mind map that follow (from 2000) will be updated as we go through 2001. Mind map Course structure. Lectures 1 Writhe and linking numbers, 2 Reidemeister moves and ...
Picture by Mark Lengowski of Cabletron Borromean Ring Links Here are some links to pages about Borromean rings. This is not intended to be a complete list -- people are apparently rather industrious by nature, at least when it comes to Borromean rings, and they seem to have been getting rendered a plenty. This is just a list of the highlights from my browsings for Borromean rings in early 1998, ...
Article containing many links to information about knot theory.
A Dynamic Programming Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links Robert J. Jenkins Jr., 1989-1992 Abstract The HOMFLY polynomial invariant for directed knots and links is a powerful tool for distinguishing knots and links. A recursive formula is used to calculate it. Applying this formula produces a binary tree of intermediate links. This paper presents an ...
Search results Back to Search form | Next 25 results The URL for this search is http://arXiv.org/find/math/1/fr:+knot/0/1/0/all, past/0/1 Showing results 1 through 25 (of 372 total) for knot 1. math.GT/0208092 : Title: Cappell-Shaneson's 4-dimensional s-cobordism Authors: Selman Akbulut Comments: 66 pages, 146 figures in color Subj-class: Geometric Topology; Symplectic Geometry MSC-class: 57R55, ...