The asymptotics of ECH capacities

@article{CristofaroGardiner2012TheAO,
  title={The asymptotics of ECH capacities},
  author={Daniel Cristofaro-Gardiner and Michael Hutchings and Vinicius G. B. Ramos},
  journal={Inventiones mathematicae},
  year={2012},
  volume={199},
  pages={187-214}
}
In a previous paper, the second author used embedded contact homology (ECH) of contact three-manifolds to define “ECH capacities” of four-dimensional symplectic manifolds. In the present paper we prove that for a four-dimensional Liouville domain with all ECH capacities finite, the asymptotics of the ECH capacities recover the symplectic volume. This follows from a more general theorem relating the volume of a contact three-manifold to the asymptotics of the amount of symplectic action needed… 
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