ECH capacities are infinite for cotangent disk bundles over genus at least two surfaces, obstructing oriented Anosov Hamiltonian flows in dimension four.
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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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Infinite ECH Capacities and Anosov Flows
ECH capacities are infinite for cotangent disk bundles over genus at least two surfaces, obstructing oriented Anosov Hamiltonian flows in dimension four.
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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.