2025/11/01 by Yewon Joung, Joung, Yewon, Sam Nelson +1
Mathematics · #57K12 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2511.00544
openalex publication_date 2025/11/01 · openalex created_date 2025/11/05 · openalex updated_date 2026/07/28
We introduce an infinite family of quiver representation-valued invariants of classical, virtual and surface-knots and links associated to a choice of finite biquandle, commutative unital ring, biquandle module and set of biquandle endomorphisms. As an application, we use this quiver to define a new infinite family of two-variable polynomial invariants.