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.
Overview and details about minimal surfaces.
1: String figure mathematics (or trivial knot theory). 2: The origin of string figures. 3: Invented string figures.
ABOUT: POINTERS: 57: Manifolds and cell complexes Introduction Manifolds are spaces like the sphere which look locally like Euclidean space. In particular, these are the spaces in which we can discuss (locally-)linear maps, and the spaces in which to discuss smoothness. They include familiar surfaces. Cell complexes are spaces made of pieces which are part of Euclidean space, generalizing ...
Explanation of geometric topology and links to related resources.
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 ...
Wed 14 Aug 2002 Search Submit Retrieve Subscribe Journals Categories Preferences iFAQ GT Geometric Topology Calendar Search Authors: All AB CDE FGH IJK LMN OPQR ST U-Z New articles (last 12) 14 Aug math.GT/0208092 Cappell-Shaneson's 4-dimensional s-cobordism. Selman Akbulut. 66 pages. GT (SG). 13 Aug math.GT/0208089 Verification of Atiyah's conjecture for some nonplanar configurations with ...
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.
Specialist Journals. Geometry and Topology [Geometry and Topology Publications]; Algebraic & Geometric Topology [Geometry and Topology Publications
Detailed information about geometric topology.