ECH capacities are infinite for cotangent disk bundles over genus >=2 surfaces and obstruct Anosov flows in 4D while providing Floer obstructions on 3-manifolds.
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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 >=2 surfaces and obstruct Anosov flows in 4D while providing Floer obstructions on 3-manifolds.
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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.