New obstructions to symplectic embeddings

Mathematics – Symplectic Geometry

Scientific paper

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53 pages, 3 figures, v2: improved exposition and minor corrections

Scientific paper

In this paper we establish new restrictions on symplectic embeddings of
certain convex domains into symplectic vector spaces. These restrictions are
stronger than those implied by the Ekeland-Hofer capacities. By refining an
embedding technique due to Guth, we also show that they are sharp.

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