Skeins and algebras

Abstract: I will look at some algebras based on braids with a quadratic relation, which are natural candidates for Homfly skein theory models. The main theme will be the use of braids in thickened surfaces to construct algebras. These readily produce the Hecke algebras and the affine Hecke algebras of type A. I will point out a problem in doing the same for the double affine Hecke algebras, along with a way round it, which also allows for extensions to the algebras by the use of closed curves and tangles in addition to braids. This is part of recent work with Peter Samuelson.

geometric topology

Audience: researchers in the topic

[K-OS] Knot online seminar

Series comments: Description: Seminar on knot theory and low dimensional topology

Password and direction to register to the mailing list are given on the homepage of the seminar.