Alexander Polynomials of closed alternating braids
Geometric Topology
2023-10-24 v1 Combinatorics
Abstract
We prove that the Alexander polynomials of certain families of alternating 4-braid knots satisfy Fox's Trapezoidal Conjecture. Moreover, we give explicit formulas for the signature and for the first 4 coefficients of the Alexander polynomial for a large family of alternating -braid links and we verify that these 4 coefficients form a log-concave sequence.
Cite
@article{arxiv.2310.14539,
title = {Alexander Polynomials of closed alternating braids},
author = {Mark E. AlSukaiti and Nafaa Chbili},
journal= {arXiv preprint arXiv:2310.14539},
year = {2023}
}
Comments
13 pages, 6 figures. arXiv admin note: text overlap with arXiv:2303.11398