Algebraic topology based on knots
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.
Algebraic topology based on knots. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Algebraic_topology_based_on_knots&oldid=32140