Virtual Biquandle Cocycle Quiver Representations
Geometric Topology
2025-11-18 v1 Quantum Algebra
Abstract
We introduce quiver representation-valued invariants of oriented virtual knots and links associated to a choice of finite virtual biquandle, abelian group, set of virtual Boltzmann weights, commutative unital ring and set of virtual biquandle endomorphisms. As an application we define new infinite families of polynomial virtual knot and link invariants via decategorification.
Cite
@article{arxiv.2511.13635,
title = {Virtual Biquandle Cocycle Quiver Representations},
author = {Alexander Bishop and Jose Ceniceros and Sam Nelson},
journal= {arXiv preprint arXiv:2511.13635},
year = {2025}
}
Comments
11 pages