Obstructing Anosov flows on cusped 3-manifolds

Fuente: arXiv
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Autore principale: Schmalian, Misha
Natura: Preprint
Pubblicazione: 2024
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_version_ 1866910382658945024
author Schmalian, Misha
author_facet Schmalian, Misha
contents Using results relating taut foliations and pseudo-Anosov flows, we find cusped hyperbolic 3-manifolds which are not the non-singular part of a pseudo-Anosov flow. In particular, we find the first examples of cusped hyperbolic 3-manifolds not admitting veering triangulations, confirming a conjecture of S. Schleimer.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17060
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Obstructing Anosov flows on cusped 3-manifolds
Schmalian, Misha
Geometric Topology
Dynamical Systems
57K32, 57Q15, 37C86, 37D20
Using results relating taut foliations and pseudo-Anosov flows, we find cusped hyperbolic 3-manifolds which are not the non-singular part of a pseudo-Anosov flow. In particular, we find the first examples of cusped hyperbolic 3-manifolds not admitting veering triangulations, confirming a conjecture of S. Schleimer.
title Obstructing Anosov flows on cusped 3-manifolds
topic Geometric Topology
Dynamical Systems
57K32, 57Q15, 37C86, 37D20
url https://arxiv.org/abs/2403.17060