Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912150338928640 |
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| author | Militon, Emmanuel |
| author_facet | Militon, Emmanuel |
| contents | We give a new proof of a result by Fathi, which states that, to any homeomorphism of a closed surface which is isotopic to a pseudo-Anosov homeomorphism, we can associate a stable and an unstable invariant partition of the surface with properties which are similar to the unstable and the stable foliation of a pseudo-Anosov homeomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02011 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi Militon, Emmanuel Dynamical Systems Geometric Topology We give a new proof of a result by Fathi, which states that, to any homeomorphism of a closed surface which is isotopic to a pseudo-Anosov homeomorphism, we can associate a stable and an unstable invariant partition of the surface with properties which are similar to the unstable and the stable foliation of a pseudo-Anosov homeomorphism. |
| title | Generalized foliations for homeomorphisms isotopic to a pseudo-Anosov homeomorphism: a geometric realization of a result by Fathi |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2407.02011 |