Topological formula of the loop expansion of the colored Jones polynomials
Geometric Topology
2014-11-21 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1411.5418,
title = {Topological formula of the loop expansion of the colored Jones polynomials},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:1411.5418},
year = {2014}
}
Comments
14 pages, 4 figures