Subflexible symplectic manifolds

Emmy Murphy, Kyler Siegel

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We introduce a class of Weinstein domains which are sublevel sets of flexible Weinstein manifolds but are not themselves flexible. These manifolds exhibit rather subtle behavior with respect to both holomorphic curve invariants and symplectic flexibility. We construct a large class of examples and prove that every flexible Weinstein manifold can be Weinstein homotoped to have a nonflexible sublevel set.

Original languageEnglish (US)
Pages (from-to)2367-2401
Number of pages35
JournalGeometry and Topology
Volume22
Issue number4
DOIs
StatePublished - Apr 5 2018

Keywords

  • Exotic symplectic structures
  • H principles
  • Polynomial convexity
  • Symplectic cohomology
  • Symplectic geometry
  • Weinstein manifolds

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint Dive into the research topics of 'Subflexible symplectic manifolds'. Together they form a unique fingerprint.

Cite this