Colored Jones polynomials and abelianized Lefschetz numbers
Geometric Topology
2020-12-17 v1
Abstract
We show that the family of colored Jones polynomials of the closure of a braid compute weighted sums of abelianized Lefschetz numbers associated with the action of the braid on configuration spaces. The sum is over the number of configuration points. Then we interpret this sum in terms of Poincare--Lefschetz duality intersection pairing between homology classes.
Keywords
Cite
@article{arxiv.2012.09150,
title = {Colored Jones polynomials and abelianized Lefschetz numbers},
author = {Jules Martel},
journal= {arXiv preprint arXiv:2012.09150},
year = {2020}
}
Comments
23 pages, comments and feedbacks welcome