Symplectic embeddings of the ${\ell }_p$-sum of two discs

Abstract

In this paper we study symplectic embedding questions for the ${\ell }_p$-sum of two discs in ${\mathbb{R}}^4$, when $1\le p\le \infty$. In particular, we compute the symplectic inner and outer radii in these cases, and show how different kinds of embedding rigidity and flexibility phenomena appear as a function of the parameter $p$.

32 pages, 3 figures

Cited by in corpus (1)

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