The Grothendieck-Teichmüller group $\widehat{GT}$ acts on the genus $g$ mapping class group with $0$ or $1$ marked point
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914327704895488 |
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| author | Lochak, Pierre Nakamura, Hiroaki Schneps, Leila |
| author_facet | Lochak, Pierre Nakamura, Hiroaki Schneps, Leila |
| contents | 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 $g>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12462 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Grothendieck-Teichmüller group $\widehat{GT}$ acts on the genus $g$ mapping class group with $0$ or $1$ marked point Lochak, Pierre Nakamura, Hiroaki Schneps, Leila Geometric Topology Number Theory 14E20 (Primary) 20F34 (Secondary) 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 $g>0$. |
| title | The Grothendieck-Teichmüller group $\widehat{GT}$ acts on the genus $g$ mapping class group with $0$ or $1$ marked point |
| topic | Geometric Topology Number Theory 14E20 (Primary) 20F34 (Secondary) |
| url | https://arxiv.org/abs/2602.12462 |