Metric weak proper discontinuity for pseudo-Anosov maps
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913913939951616 |
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| author | Choi, Inhyeok |
| author_facet | Choi, Inhyeok |
| contents | We present a metric version of weak proper discontinuity (WPD) for pseudo-Anosov maps on surfaces. As an application, we show that there are plenty of quasi-morphisms on the homeomorphism group of a torus or a hyperbolic surface that are unbounded on certain homeomorphisms with large fixed set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Metric weak proper discontinuity for pseudo-Anosov maps Choi, Inhyeok Geometric Topology We present a metric version of weak proper discontinuity (WPD) for pseudo-Anosov maps on surfaces. As an application, we show that there are plenty of quasi-morphisms on the homeomorphism group of a torus or a hyperbolic surface that are unbounded on certain homeomorphisms with large fixed set. |
| title | Metric weak proper discontinuity for pseudo-Anosov maps |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2506.21214 |