Hyperbolic spaces not quasi-isometric to curve complexes
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911050134192128 |
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| author | Aramayona, Javier Parlier, Hugo Webb, Richard |
| author_facet | Aramayona, Javier Parlier, Hugo Webb, Richard |
| contents | We identify a condition that prevents a hyperbolic space from being quasi-isometric to the curve complex of any non-sporadic surface. Our result applies to several hyperbolic complexes, including arc complexes, disk complexes, non-separating curve complexes, (hyperbolic) pants complexes, and to free splitting complexes of free groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperbolic spaces not quasi-isometric to curve complexes Aramayona, Javier Parlier, Hugo Webb, Richard Geometric Topology Group Theory Metric Geometry We identify a condition that prevents a hyperbolic space from being quasi-isometric to the curve complex of any non-sporadic surface. Our result applies to several hyperbolic complexes, including arc complexes, disk complexes, non-separating curve complexes, (hyperbolic) pants complexes, and to free splitting complexes of free groups. |
| title | Hyperbolic spaces not quasi-isometric to curve complexes |
| topic | Geometric Topology Group Theory Metric Geometry |
| url | https://arxiv.org/abs/2507.08086 |