English

Obstructing Anosov flows on cusped 3-manifolds

Geometric Topology 2024-03-27 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.2403.17060,
  title  = {Obstructing Anosov flows on cusped 3-manifolds},
  author = {Misha Schmalian},
  journal= {arXiv preprint arXiv:2403.17060},
  year   = {2024}
}
R2 v1 2026-06-28T15:33:11.398Z