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June 2019 Symplectic embeddings from concave toric domains into convex ones
Dan Cristofaro-Gardiner
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J. Differential Geom. 112(2): 199-232 (June 2019). DOI: 10.4310/jdg/1559786421


Embedded contact homology gives a sequence of obstructions to four-dimensional symplectic embeddings, called ECH capacities. In “Symplectic embeddings into four-dimensional concave toric domains”, the author, Choi, Frenkel, Hutchings and Ramos computed the ECH capacities of all “concave toric domains”, and showed that these give sharp obstructions in several interesting cases. We show that these obstructions are sharp for all symplectic embeddings of concave toric domains into “convex” ones. In an appendix with Choi, we prove a new formula for the ECH capacities of convex toric domains, which shows that they are determined by the ECH capacities of a corresponding collection of balls.


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Dan Cristofaro-Gardiner. "Symplectic embeddings from concave toric domains into convex ones." J. Differential Geom. 112 (2) 199 - 232, June 2019.


Received: 25 January 2015; Published: June 2019
First available in Project Euclid: 6 June 2019

zbMATH: 07064403
MathSciNet: MR3960266
Digital Object Identifier: 10.4310/jdg/1559786421

Rights: Copyright © 2019 Lehigh University

Vol.112 • No. 2 • June 2019
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