Two parameters bt-algebra and invariants for links and tied links
Geometric Topology
2020-01-16 v3 General Topology
Abstract
We introduce a two-parameters bt-algebra which, by specialization, becomes the one-parameter bt-algebra, introduced by the authors, as well as another one-parameter presentation of it; the invariant for links and tied links, associated to this two-parameter algebra via Jones recipe, contains as specializations the invariants obtained from these two presentations of the bt-algebra and then is more powerful than each of them. Also, a new non Homflypt polynomial invariant is obtained for links, which is related to the linking matrix.
Keywords
Cite
@article{arxiv.1811.03675,
title = {Two parameters bt-algebra and invariants for links and tied links},
author = {Francesca Aicardi and Jesus Juyumaya},
journal= {arXiv preprint arXiv:1811.03675},
year = {2020}
}
Comments
16 pages, 5 figures