2020/02/26 by Atsushi Ishii, Ishii, Atsushi, Masahide Iwakiri +9
Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2002.11292
openalex publication_date 2020/02/26 · openalex created_date 2020/03/06 · openalex updated_date 2026/07/28
Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in 3-space. Cocycles of them can be used to construct state-sum type invariants of links and handlebody-links. In this paper we discuss cocycles of a certain class of biquandles and multiple conjugation biquandles, which we call G-Alexander biquandles and G-Alexander multiple conjugation biquandles, with a relationship with group cocycles. We give a method to obtain a (biquandle or multiple conjugation biquandle) cocycle of them from a group cocycle.