ECH capacities are infinite for cotangent disk bundles over genus at least two surfaces, obstructing oriented Anosov Hamiltonian flows in dimension four.
Massoni, Taut foliations and contact pairs in dimension three, arXiv preprint 2405.15635 (2024), 114 pp
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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.