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Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings

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Preprint
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arXiv ID: 1312.7334
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arXiv
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Abstract

We introduce a notion of symplectic capacity relative to a coisotropic submanifold of a symplectic manifold, and we define a modification of the Hofer-Zehnder capacity and show it provides an example. As a corollary, we obtain a non-squeezing theorem for symplectic embeddings relative to coisotropic constraints.

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