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math.SGNov 1, 2018
5
citations (OpenAlex)
authors
  • James Conway
  • John B. Etnyre
institutions
  • Georgia Institute of Technology
  • University of California, Berkeley
arXiv abstractPDF
paper

Contact surgery and symplectic caps

arXiv:1811.00387 · doi:10.1112/blms.12332

Abstract

In this note we show that a closed oriented contact manifold is obtained from the standard contact sphere of the same dimension by contact surgeries on isotropic and coisotropic spheres. In addition, we observe that all closed oriented contact manifolds admit symplectic caps.

arXiv comment16 pages, minor edits

References in corpus (12)

  • Holomorphic disks and genus bounds
  • A Legendrian surgery presentation of contact 3-manifolds
  • Loose Legendrian embeddings in high dimensional contact manifolds
  • Weak and strong fillability of higher dimensional contact manifolds
  • Surgery diagrams for contact 3-manifolds
  • On symplectic fillings
  • Liouville hypersurfaces and connect sum cobordisms
  • The topology of Stein fillable manifolds in high dimensions I
  • Maximal contact and symplectic structures
  • The topology of Stein fillable manifolds in high dimensions II
  • Bypass attachments in higher-dimensional contact topology
  • Subcritical contact surgeries and the topology of symplectic fillings

Cited by in corpus (3)

  • Maximal contact and symplectic structures
  • Generalizations of planar contact manifolds to higher dimensions
  • A landscape of contact manifolds via rational SFT
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