Biquandle Arrow Weight Enhacements
Geometric Topology
2023-04-18 v2 Quantum Algebra
Abstract
We introduce a new infinite family of enhancements of the biquandle homset invariant called biquandle arrow weights. These invariants assign weights in an abelian group to intersections of arrows in a Gauss diagram representing a classical or virtual knot depending on the biquandle colors associated to the arrows. We provide examples to show that the enhancements are nontrivial and proper, i.e., not determined by the homset cardinality.
Keywords
Cite
@article{arxiv.2211.12606,
title = {Biquandle Arrow Weight Enhacements},
author = {Sam Nelson and Migiwa Sakurai},
journal= {arXiv preprint arXiv:2211.12606},
year = {2023}
}
Comments
11 pages; Version 2 corrects an oversight pointed out the by the anonymous referee