Simple loop conjecture for discrete representations in PSL$(2,\,\mathbb R)$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913896828239872 |
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| author | Faraco, Gianluca Gupta, Subhojoy |
| author_facet | Faraco, Gianluca Gupta, Subhojoy |
| contents | We show that the Simple Loop Conjecture holds for any representation $ρ\colonπ_1(S)\longrightarrow \text{PSL}(2,\,\mathbb R)$ that is discrete but not faithful. That is, we show the existence of a simple closed curve in the kernel of such a representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_12066 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simple loop conjecture for discrete representations in PSL$(2,\,\mathbb R)$ Faraco, Gianluca Gupta, Subhojoy Geometric Topology We show that the Simple Loop Conjecture holds for any representation $ρ\colonπ_1(S)\longrightarrow \text{PSL}(2,\,\mathbb R)$ that is discrete but not faithful. That is, we show the existence of a simple closed curve in the kernel of such a representation. |
| title | Simple loop conjecture for discrete representations in PSL$(2,\,\mathbb R)$ |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2307.12066 |