English

New obstructions to symplectic embeddings

Symplectic Geometry 2013-06-10 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0906.4296,
  title  = {New obstructions to symplectic embeddings},
  author = {Richard Hind and Ely Kerman},
  journal= {arXiv preprint arXiv:0906.4296},
  year   = {2013}
}

Comments

80 pages, 3 figures, v2: improved exposition and minor corrections, v3: Final version, expanded and improved exposition and minor corrections. The final publication is available at link.springer.com

R2 v1 2026-06-21T13:17:00.085Z