Topological components of surface group representations and signature
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918137188843520 |
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| author | Kim, Inkang Wan, Xueyuan |
| author_facet | Kim, Inkang Wan, Xueyuan |
| contents | We study the topological components of the surface group representations into $\mathrm{SL}(2,\mathbb{R})$ and $\mathrm{PSL}(2,\mathbb{R})$. Utilizing the signature formula established in [14], we determine the number of connected components of the representation spaces with boundary elliptic, hyperbolic, and parabolic holonomies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05000 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological components of surface group representations and signature Kim, Inkang Wan, Xueyuan Geometric Topology Representation Theory 57M50, 57JM07, 22E40 We study the topological components of the surface group representations into $\mathrm{SL}(2,\mathbb{R})$ and $\mathrm{PSL}(2,\mathbb{R})$. Utilizing the signature formula established in [14], we determine the number of connected components of the representation spaces with boundary elliptic, hyperbolic, and parabolic holonomies. |
| title | Topological components of surface group representations and signature |
| topic | Geometric Topology Representation Theory 57M50, 57JM07, 22E40 |
| url | https://arxiv.org/abs/2508.05000 |