Multitwists in big mapping class groups
We show that the group generated by multitwists (ie products of powers of twists about disjoint nonaccumulating curves) doesn't contain the Torelli group of an infinite-type surface.As a consequence, multitwists don't generate the closure of the compactly supported mapping class group of a surface of infinite type.
Authors
- Sebastian Hensel (ORCID: https://orcid.org/0000-0002-9369-4173)
- George Domat
- Federica Fanoni
Institutions
- Université Paris-Est Créteil (FR)
- University of Michigan (US)
- LMU Klinikum (DE)
- Laboratoire d’Analyse et de Mathématiques Appliquées (FR)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2025-10-29
- DOI
- https://doi.org/10.2140/agt.2025.25.3921
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00