The Grothendieck-Teichmüller group $\widehat{GT}$ acts on the genus $g$ mapping class group with $0$ or $1$ marked point
Abstract
The goal of this article is to prove that the Grothendieck-Teichmüller group $\widehat{GT}$ acts on $\widehatΓ_{g,0}$ and $\widehatΓ_{g,1}$,the (full) profinite genus $g$ mapping class group with $0$ or $1$ marked point, for every $g>0$.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 12 February 2026
- Language
- EN
- Document type
- Preprint