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From veering triangulations to dynamic pairs

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arxiv 2305.08799 v2 pith:YE5K2MP5 submitted 2023-05-15 math.GT math.DS

Saul Schleimer , Henry Segerman This is my paper · ORCID
classification math.GTmath.DS
keywords veeringdynamictriangulationassociatedbranchedcanonicallydecompositionfinite
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From a transverse veering triangulation (not necessarily finite) we produce a canonically associated dynamic pair of branched surfaces. As a key idea in the proof, we introduce the shearing decomposition of a veering triangulation.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function

    math.GT 2025-04 conditional novelty 8.0 of 10

    Closed orbits of a pseudo-Anosov flow generate a sutured Heegaard Floer chain complex, and a new Z/2-grading on that complex categorifies the flow's zeta function.

  2. Finiteness of veering triangulations

    math.GT 2026-07 accept novelty 7.0 of 10

    A closed 3-manifold admits only finitely many pseudo-Anosov flows without perfect fits (and thus finitely many veering triangulations) up to isotopy.

  3. Reconstructing flows from the orbit space

    math.DS 2025-09 conditional novelty 7.0 of 10

    A group action on a bifoliated plane with no infinite product regions comes from a pseudo-Anosov or expansive flow on a 3-manifold exactly when a certain space of leaf pairs admits a properly discontinuous, cocompact ...

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