Multitwists in big mapping class groups

2023/01/20 by George Domat, Federica Fanoni, Domat, George +3
Mathematics · #20F65 #57K20 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2301.08780

openalex publication_date 2023/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We show that the closure of the compactly supported mapping class group of an infinite-type surface is not generated by the collection of multitwists (i.e. products of powers of twists about disjoint non-accumulating curves).

Related

• Braided multitwists
• Big mapping class groups are not extremely amenable
• Property P_naive for big mapping class groups
• Big mapping class groups and the co-Hopfian property
• An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface