Symplectic isotopy classes of ellipsoids and polydisks in dimension greater than four

Richard Hind

Symplectic isotopy classes of ellipsoids and polydisks in dimension greater than four

Symplectic Geometry 2014-08-26 v2

Authors: Richard Hind

Abstract

In any dimension $2n \ge 6$ we show that certain spaces of symplectic embeddings of a polydisk into a product $B^4 \times \Bbb R^{2(n-2)}$ 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.

Keywords

symplectic embeddings polydisk ellipsoid symplectic isotopy path connectedness high-dimensional symplectic topology

Cite

@article{arxiv.1403.3846,
  title  = {Symplectic isotopy classes of ellipsoids and polydisks in dimension greater than four},
  author = {Richard Hind},
  journal= {arXiv preprint arXiv:1403.3846},
  year   = {2014}
}

Comments

Major correction and revision to the section on ellipsoids

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