Obstructing Anosov flows on cusped 3‐manifolds

Abstract Using results relating taut foliations, Heegaard–Floer homology 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.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-03-19
DOI
https://doi.org/10.1112/blms.70049
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Obstructing Anosov flows on cusped 3‐manifolds

Misha Schmalian
Bulletin of the London Mathematical Society
Geometric and Algebraic Topology
article

Obstructing Anosov flows on cusped 3‐manifolds

Misha Schmalian
article en

Abstract

Abstract Using results relating taut foliations, Heegaard–Floer homology 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.

Bulletin of the London Mathematical SocietyVol. 57(5)
University of Oxford (GB)
Openalex Percentile: Top 91%
Geometric and Algebraic Topology
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Obstructing Anosov flows on cusped 3‐manifolds — Misha Schmalian · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS