Convex-cocompact representations into the isometry group of the infinite-dimensional hyperbolic space
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914378795712512 |
|---|---|
| author | Xu, David |
| author_facet | Xu, David |
| contents | We prove that convex-cocompact representations of finitely generated groups in the group of isometries of the infinite-dimensional hyperbolic space form an open set in the space of representations, allowing us to deform these convex-cocompact representations. We then use bending to obtain convex-cocompact representations of surface groups that are not conjugate to any exotic representation of PSL(2,R) classified by Monod and Py. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convex-cocompact representations into the isometry group of the infinite-dimensional hyperbolic space Xu, David Geometric Topology Group Theory Metric Geometry We prove that convex-cocompact representations of finitely generated groups in the group of isometries of the infinite-dimensional hyperbolic space form an open set in the space of representations, allowing us to deform these convex-cocompact representations. We then use bending to obtain convex-cocompact representations of surface groups that are not conjugate to any exotic representation of PSL(2,R) classified by Monod and Py. |
| title | Convex-cocompact representations into the isometry group of the infinite-dimensional hyperbolic space |
| topic | Geometric Topology Group Theory Metric Geometry |
| url | https://arxiv.org/abs/2402.12294 |