In this paper we define and present a simple combinatorial formula for a 3-variable Laurent polynomial invariant I(a, z, t) of conjugacy classes in Artin braid group Bm. We show that the Laurent polynomial I(a, z, t) satisfies the Conway skein relation and the coefficients of the 1-variable polynomial t-kI(a, z, t)|a=1,t=0 are Vassiliev invariants of braids.
- Braid groups
- Finite type or Vassiliev invariants
- HOMFLY-PT and Conway polynomials
ASJC Scopus subject areas
- Geometry and Topology