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Non-squeezing property for holomorphic symplectic structures

  • Hervé Gaussier
  • , Jae Cheon Joo

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We prove a Gromov's non-squeezing type theorem in holomorphic symplectic geometry. We further define holomorphic symplectic invariants on Grassmanian bundles and use them to give a more general version of the non-squeezing theorem.

Original languageEnglish
Pages (from-to)729-740
Number of pages12
JournalMathematical Research Letters
Volume22
Issue number3
DOIs
StatePublished - 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015, International Press of Boston, Inc. All rights reserved.

Keywords

  • Holomorphic symplectic manifolds
  • Kobayashi and Carathéodory volume forms
  • Non-squeezing theorem

ASJC Scopus subject areas

  • General Mathematics

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