Volume of maximal representations into $\mathrm{SO}_0(2,3)$
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913093473271808 |
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| author | Lemistre, Timothé |
| author_facet | Lemistre, Timothé |
| contents | We study the volume of maximal representations from a surface group into $\mathrm{SO}_0(2,3)$. We show that it is bounded from above, uniformly in the genus of the surface. We also prove that on the Gothen components, it is bounded from below by a strictly positive constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04272 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Volume of maximal representations into $\mathrm{SO}_0(2,3)$ Lemistre, Timothé Differential Geometry We study the volume of maximal representations from a surface group into $\mathrm{SO}_0(2,3)$. We show that it is bounded from above, uniformly in the genus of the surface. We also prove that on the Gothen components, it is bounded from below by a strictly positive constant. |
| title | Volume of maximal representations into $\mathrm{SO}_0(2,3)$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2605.04272 |