A new two-variable generalization of the Jones polynomial
Geometric Topology
2018-11-09 v4
Abstract
We present a new 2-variable generalization of the Jones polynomial that can be defined through the skein relation of the Jones polynomial. The well-definedness of this new generalization is proved both algebraically and diagrammatically as well as via a closed combinatorial formula. This new invariant is able to distinguish more pairs of non-isotopic links than the original Jones polynomial such as the Thistlethwaite link from the unlink with two components.
Cite
@article{arxiv.1608.01812,
title = {A new two-variable generalization of the Jones polynomial},
author = {Dimos Goundaroulis and Sofia Lambropoulou},
journal= {arXiv preprint arXiv:1608.01812},
year = {2018}
}
Comments
18 pages, 7 figures