Symplectic isotopies in dimension greater than four

DOI10.4310/JSG.2016.V14.N4.A3zbMATH Open1366.53066arXiv1403.3846OpenAlexW2568580536MaRDI QIDQ508083

Richard Hind

Publication date: 9 February 2017

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Abstract: In any dimension $2nge6$ we show that certain spaces of symplectic embeddings of a polydisk into a product $B^{4}imesBbb{R}^{2(n-2)}$ of a $4$-ball and Euclidean space, are not path connected. We also show that any pair of such nonisotopic embeddings can never be extended to the same ellipsoid.

Full work available at URL: https://arxiv.org/abs/1403.3846

zbMATH Keywords

ellipsoidpolydisksymplectic embeddingssymplectically isotopic

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Symplectic field theory; contact homology (53D42)

Related Items (3)

Symplectic rigidity of real and complex polydiscs ⋮ Isomorphisms of symplectic planes ⋮ Unnamed Item

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