Coloring Link Diagrams And Conway-type Polynomial Of Braids

Abstract

In this paper we define and present a simple combinatorial formula for a 3-variable Laurent polynomial invariant of conjugacy classes in Artin braid group $B_m$. We show that this Laurent polynomial satisfies the Conway skein relation and its coefficients are Vassiliev invariants of braids.

This is a revised version. To appear in Topology and its Applications

References in corpus (3)

• Right-veering diffeomorphisms of compact surfaces with boundary II
• On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc
• Link invariants via counting surfaces