Mapping class groupoids and Thompson's groups
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2018
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| Acceso en línea: | |
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| _version_ | 1866910461150101504 |
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| author | Uludağ, A. Muhammed Topkara, Mustafa Ülkem, Özge Zeytin, Ayberk |
| author_facet | Uludağ, A. Muhammed Topkara, Mustafa Ülkem, Özge Zeytin, Ayberk |
| contents | We introduce a groupoid ${\mathbf{ΠMG}}}$, called the fundamental modular groupoid, which is a variant of Penner's mapping class groupoid. We study how it relates to the surface mapping class groups and Thompson's group $\mathsf T$. We also introduce larger groupoid $\mathbf{ΩMG}$, which is related to outer automorphisms of free groups and Thompson's group $\mathsf V$ in a similar manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_08788 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Mapping class groupoids and Thompson's groups Uludağ, A. Muhammed Topkara, Mustafa Ülkem, Özge Zeytin, Ayberk Geometric Topology 58D29, 20F38, 30F60, 14D22, 57M99, 20F34, 20F36 We introduce a groupoid ${\mathbf{ΠMG}}}$, called the fundamental modular groupoid, which is a variant of Penner's mapping class groupoid. We study how it relates to the surface mapping class groups and Thompson's group $\mathsf T$. We also introduce larger groupoid $\mathbf{ΩMG}$, which is related to outer automorphisms of free groups and Thompson's group $\mathsf V$ in a similar manner. |
| title | Mapping class groupoids and Thompson's groups |
| topic | Geometric Topology 58D29, 20F38, 30F60, 14D22, 57M99, 20F34, 20F36 |
| url | https://arxiv.org/abs/1807.08788 |