Obstructing Anosov flows on cusped 3-manifolds

2024/03/25 by Misha Schmalian, Schmalian, Misha
Computer Science · Mathematics · #37C86 #37D20 #57K32 #57Q15 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2403.17060

openalex publication_date 2024/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Partial hyperbolicity and pseudo-Anosov dynamics
• Anosov flows on Dehn surgeries on the figure-eight knot
• Non R-covered Anosov flows in hyperbolic 3-manifolds are quasigeodesic
• Partially hyperbolic dynamics and 3-manifold topology
• The structure of branching in Anosov flows of 3-manifolds