Completing Prelaminations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916450175811584 |
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| author | Barthelmé, Thomas Bonatti, Christian Mann, Kathryn |
| author_facet | Barthelmé, Thomas Bonatti, Christian Mann, Kathryn |
| contents | Motivated by problems in the study of Anosov and pseudo-Anosov flows on 3-manifolds, we characterize when a pair $(L^+, L^-)$ of subsets of transverse laminations of the circle can be completed to a pair of transverse foliations of the plane or, separately, realized as the endpoints of such a bifoliation of the plane. (We allow also singular bifoliations with simple prongs, such as arise in pseudo-Anosov flows). This program is carried out at a level of generality applicable to bifoliations coming from pseudo-Anosov flows with and without perfect fits, as well as many other examples, and is natural with respect to group actions preserving these structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Completing Prelaminations Barthelmé, Thomas Bonatti, Christian Mann, Kathryn Geometric Topology Dynamical Systems Motivated by problems in the study of Anosov and pseudo-Anosov flows on 3-manifolds, we characterize when a pair $(L^+, L^-)$ of subsets of transverse laminations of the circle can be completed to a pair of transverse foliations of the plane or, separately, realized as the endpoints of such a bifoliation of the plane. (We allow also singular bifoliations with simple prongs, such as arise in pseudo-Anosov flows). This program is carried out at a level of generality applicable to bifoliations coming from pseudo-Anosov flows with and without perfect fits, as well as many other examples, and is natural with respect to group actions preserving these structures. |
| title | Completing Prelaminations |
| topic | Geometric Topology Dynamical Systems |
| url | https://arxiv.org/abs/2406.18917 |