paper

Virtual Biquandle Cocycle Quiver Representations

arXiv:2511.13635

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.

11 pages

Virtual Biquandle Cocycle Quiver Representations · wovepaper