Markov property and Khovanov-Rozansky homology: Coxeter Case

TL;DR

This paper proves that for any Coxeter group, the Euler characteristic of the associated Khovanov-Rozansky homology acts as a Markov trace, linking algebraic topology with Coxeter group theory.

Contribution

It provides a detailed proof that the Euler characteristic in Khovanov-Rozansky homology forms a Markov trace for all Coxeter groups, extending previous results.

Findings

Euler characteristic acts as a Markov trace for Coxeter groups

Establishes a connection between Khovanov-Rozansky homology and Coxeter group theory

Provides a rigorous proof for the Coxeter case

Abstract

We give a detailed proof of the fact that for any Coxeter group the Euler characteristic of the corresponding Khovanov-Rozansky homology provides a Markov trace.