CWR sequence of invariants of alternating links and its properties
Geometric Topology
2025-05-27 v3 Combinatorics
Abstract
We present the invariant, a new invariant for alternating links, which builds upon and generalizes the invariant. The invariant is an array of two-variable polynomials that provides a stronger invariant compared to the invariant. We compare the strength of our invariant with the classical HOMFLYPT, Kauffman -variable, and Kauffman -variable polynomials on specific knot examples. Additionally, we derive general recursive "skein" relations, and also specific formulas for the initial components of the invariant using weighted adjacency matrices of modified Tait graphs.
Keywords
Cite
@article{arxiv.2406.04987,
title = {CWR sequence of invariants of alternating links and its properties},
author = {Michal Jablonowski},
journal= {arXiv preprint arXiv:2406.04987},
year = {2025}
}