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math.SG2026
The ECH and alternative ECH capacities of closed symplectic 4-manifolds
Gabriel Beiner
We show that the ECH capacities of every closed symplectic 4-manifold are infinite. We also give the first examples of symplectic 4-manifolds whose alternative ECH capacities are i…
math.SG2026
Infinite ECH Capacities and Anosov Flows
Gabriel Beiner
This article relates the theory of embedded contact homology (ECH) with the dynamics of Anosov flows. We show that in many cases the ECH capacities of a symplectic 4-manifold are i…