2011/05/27 by Jessica Ceniceros, Ceniceros, Jessica, Sam Nelson +1
Computer Science · Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Logic, programming, and type systems #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1105.5663
openalex publication_date 2011/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A virtual link can be understood as a link in a trivial I-bundle over an orientable compact surface with genus. A twisted virtual link is a link in a trivial I-bundle over a not-necessarily orientable compact surface. A twisted virtual birack is an algebraic structure with axioms derived from the twisted virtual Reidemeister moves. We extend a method previously used with racks and biracks to the twisted case to define computable invariants of twisted virtual links using finite twisted virtual biracks with birack rank N≥ 1. As an application, we classify twist structures on the virtual Hopf link.