Coloring Link Diagrams And Conway-type Polynomial Of Braids
Michael Brandenbursky

TL;DR
This paper introduces a new combinatorial 3-variable Laurent polynomial invariant for conjugacy classes in braid groups, satisfying the Conway skein relation and capturing Vassiliev invariants.
Contribution
It provides a simple combinatorial formula for a braid invariant that satisfies the Conway skein relation and encodes Vassiliev invariants.
Findings
Defines a 3-variable Laurent polynomial invariant for braids.
Proves the invariant satisfies the Conway skein relation.
Shows the coefficients are Vassiliev invariants.
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 . We show that this Laurent polynomial satisfies the Conway skein relation and its coefficients are Vassiliev invariants of braids.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
