Topological formula of the loop expansion of the colored Jones polynomials

Abstract

We give a topological formula of the loop expansion of the colored Jones polynomials by using identification of generic quantum sl2 representation with homological representations. This gives a direct topological proof of the Melvin-Morton-Rozansky conjecture, and a connection between entropy of braids and quantum representations.

14 pages, 4 figures

Cited by in corpus (1)

• A non-commutative Reidemeister-Turaev torsion of homology cylinders