Braided Brin-Thompson Groups

2021/01/10 by Robert Spahn, Spahn, Robert
Mathematics · #(Primary) 20F65 #(Secondary) 20F36 #57M07 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2101.03462

openalex publication_date 2021/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct braided versions sV_br of the Brin-Thompson groups sV and prove that they are of type F_∞. The proof involves showing that the matching complexes of colored arcs on surfaces are highly connected.

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