2022/08/02 by Georgy C Luke, Luke, Georgy C., B. Subhash +1
Computer Science · Mathematics · #57K10 #57K12 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2208.01388
openalex publication_date 2022/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
A homology and cohomology theory for topological quandles are introduced. The relation between these (co)homology groups and quandle (co)homology groups are studied. The 1 - topological quandle cocycles are used to compute state sum invariants corresponding to knot diagrams.