2007/04/30 by Kheira Ameur, Ameur, Kheira, Masahico Saito +1
Mathematics · #57M25 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.0704.3995
openalex publication_date 2007/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triviality of some quandle homology groups are proved, and quandle cocycle invariants of knots are studied. In particular, for an infinite family of quandles, the non-triviality of quandle homology groups is proved for all odd dimensions.