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Embedded contact homology gives a sequence of obstructions tofour-dimensional symplectic embeddings, called ECH capacities. In "Symplecticembeddings into four-dimensional concave toric domains", the author, Choi,Frenkel, Hutchings and Ramos computed the ECH capacities of all "concave toricdomains", and showed that these give sharp obstructions in several interestingcases. We show that these obstructions are sharp for all symplectic embeddingsof concave toric domains into "convex" ones. In an appendix with Choi, we provea new formula for the ECH capacities of convex toric domains, which shows thatthey are determined by the ECH capacities of a corresponding collection ofballs.

Symplectic embeddings from concave toric domains into convex ones