Polynomial Invariants of Singular Knots and links
Geometric Topology
2021-01-21 v3 Quantum Algebra
Abstract
We generalize the notion of the quandle polynomial to the case of singquandles. We show that the singquandle polynomial is an invariant of finite singquandles. We also construct a singular link invariant from the singquandle polynomial and show that this new singular link invariant generalizes the singquandle counting invariant. In particular, using the new polynomial invariant, we can distinguish singular links with the same singquandle counting invariant.
Keywords
Cite
@article{arxiv.2010.13295,
title = {Polynomial Invariants of Singular Knots and links},
author = {Jose Ceniceros and Indu R. Churchill and Mohamed Elhamdadi},
journal= {arXiv preprint arXiv:2010.13295},
year = {2021}
}
Comments
Accepted for publication in JKTR