Algebraic topology based on knots
From Encyclopedia of Mathematics - Reading time: 1 min
A branch of mathematics on the border of topology (cf. also Topology, general) and algebra, in which one analyzes properties of manifolds by considering links (submanifolds) in a manifold and their algebraic structure (cf. also Manifold). The main object of the discipline is the notion of skein module, i.e., the quotient of a free module over ambient isotopy classes of links in a manifold by properly chosen local ((skein)) relations.
For references, see Kauffman polynomial.
How to Cite This Entry: Algebraic topology based on knots (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Algebraic_topology_based_on_knots1 | ↧ Download this article as ZWI file
EncycloReader
is supported by the 
KSF