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Multitwists in big mapping class groups

Geometric Topology 2025-11-05 v2 Group Theory

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).

Keywords

Cite

@article{arxiv.2301.08780,
  title  = {Multitwists in big mapping class groups},
  author = {George Domat and Federica Fanoni and Sebastian Hensel},
  journal= {arXiv preprint arXiv:2301.08780},
  year   = {2025}
}

Comments

7 pages, 1 figure. V2: small changes, following referee reports suggestions