2 papers
math.GT2026
Biquandle Arrow Weight Quiver Representations
Sam Nelson, Migiwa Sakurai
We define an infinite family of quiver representation-valued invariants of classical and virtual knots associated to a choice of data vector consisting of a biquandle, abelian grou…
math.GT2025
Categorification of Biquandle Arrow Weight Invariants via Quivers
Sam Nelson, Migiwa Sakurai
Introduced in arXiv:2211.12606, biquandle arrow weight invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquand…