Bikei Module Invariants of Unoriented Surface-Links
Geometric Topology
2022-04-07 v1 Quantum Algebra
Abstract
We extend our previous work from arXiv:1903.06863 on biquandle module invariants of oriented surface-links to the case of unoriented surface-links using bikei modules. The resulting infinite family of enhanced invariants proves be effective at distinguishing unoriented and especially non-orientable surface-links; in particular, we show that these invariants are more effective than the bikei homset cardinality invariant alone at distinguishing non-orientable surface-links. Moreover, as another application we note that our previous biquandle modules which do not satisfy the bikei module axioms are capable of distinguishing different choices of orientation for orientable surface-links as well as classical and virtual links.
Cite
@article{arxiv.2204.02520,
title = {Bikei Module Invariants of Unoriented Surface-Links},
author = {Yewon Joung and Sam Nelson},
journal= {arXiv preprint arXiv:2204.02520},
year = {2022}
}
Comments
10 pages