A survey on skein modules via braids
Geometric Topology
2023-11-14 v1 Quantum Algebra
Abstract
In this paper we present recent results on the computation of skein modules of 3-manifolds using braids and appropriate knot algebras. Skein modules generalize knot polynomials in to knot polynomials in arbitrary 3-manifolds and they have become extremely essential algebraic tools in the study of 3-manifolds. In this paper we present the braid approach to the HOMFLYPT and the Kauffman bracket skein modules of the Solid Torus ST and the lens spaces and .
Keywords
Cite
@article{arxiv.2311.06556,
title = {A survey on skein modules via braids},
author = {Ioannis Diamantis},
journal= {arXiv preprint arXiv:2311.06556},
year = {2023}
}
Comments
34 pages, 31 figures. arXiv admin note: text overlap with arXiv:2005.00737, arXiv:2204.00410, arXiv:1702.06290, arXiv:2307.12275