Pseudo-Anosov Flows: A Plane Approach
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908830780096512 |
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| author | Barthelmé, Thomas Mann, Kathryn |
| author_facet | Barthelmé, Thomas Mann, Kathryn |
| contents | In this text we (re)-tell the theory of pseudo-Anosov flows on 3-manifolds with the orbit space as the central character; via a streamlined framework called {\em Anosov-like group actions}. This brings a simplified and unified perspective, and allows for the import of tools from 1- and 2-dimensional topological dynamics. In so doing, we are able to give a relatively efficient presentation (or re-presentation) of foundational results in the field which appeared over several decades and many papers.
We hope that the reader, whether a beginning or more advanced topologist or dynamicist, finds this a welcoming invitation to the rich theory of pseudo-Anosov flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudo-Anosov Flows: A Plane Approach Barthelmé, Thomas Mann, Kathryn Dynamical Systems Geometric Topology In this text we (re)-tell the theory of pseudo-Anosov flows on 3-manifolds with the orbit space as the central character; via a streamlined framework called {\em Anosov-like group actions}. This brings a simplified and unified perspective, and allows for the import of tools from 1- and 2-dimensional topological dynamics. In so doing, we are able to give a relatively efficient presentation (or re-presentation) of foundational results in the field which appeared over several decades and many papers. We hope that the reader, whether a beginning or more advanced topologist or dynamicist, finds this a welcoming invitation to the rich theory of pseudo-Anosov flows. |
| title | Pseudo-Anosov Flows: A Plane Approach |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2509.15375 |