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arxiv: 0906.4296 · v3 · pith:VCLMQOOVnew · submitted 2009-06-23 · 🧮 math.SG

New obstructions to symplectic embeddings

classification 🧮 math.SG
keywords symplecticembeddingsrestrictionscapacitiescertainconvexdomainsekeland-hofer
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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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