Invariants for singular links via the two parameter bt-algebra
Geometric Topology
2024-05-13 v1 Rings and Algebras
Abstract
We construct a new invariant of singular links through representations of the singular braid monoid into the two parameters bt-algebra. Additionally, we recover this invariant by using the approach of Paris and Rabenda. Hence, we introduce the so called two parameter Singular bt-algebra. Finally, we provide the skein relations that define our invariant, and we prove that this invariant is more powerful than previous invariants of singular links in literature.
Keywords
Cite
@article{arxiv.2405.06496,
title = {Invariants for singular links via the two parameter bt-algebra},
author = {Marcelo Flores and Christopher Roque-Marquez},
journal= {arXiv preprint arXiv:2405.06496},
year = {2024}
}