Constructs Anosov flows in circle bundles over hyperbolic 3-manifolds via Cannon-Thurston maps, yielding counterexamples to Verjovsky's conjecture with some manifolds having infinitely many up to orbit equivalence.
Non-transitive pseudo- A nosov flows
5 Pith papers cite this work. Polarity classification is still indexing.
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Pseudo-Anosov flows on 3-manifolds induce isometric actions on Gromov-hyperbolic spaces, with generic elements in the fundamental group for non-R-covered flows.
The flow's Cannon-Thurston map simultaneously induces continuous extensions of all leaves of any almost transverse foliation via the flowspace boundary as universal circle.
Group actions on the plane that preserve transverse singular foliations and admit a strong Markovian family are Anosov-like.
Veering triangulations for Anosov flows with orientable foliations admit Legendrian edge realizations in strongly adapted bicontact structures and can be placed in steady position, implying horizontal surgery correspondences via prior author result.
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Simultaneous universal circles and continuous extension
The flow's Cannon-Thurston map simultaneously induces continuous extensions of all leaves of any almost transverse foliation via the flowspace boundary as universal circle.
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Legendrian position of veering triangulations
Veering triangulations for Anosov flows with orientable foliations admit Legendrian edge realizations in strongly adapted bicontact structures and can be placed in steady position, implying horizontal surgery correspondences via prior author result.