English

Contact surgery and symplectic caps

Symplectic Geometry 2020-04-15 v2 Geometric Topology

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.

Keywords

Cite

@article{arxiv.1811.00387,
  title  = {Contact surgery and symplectic caps},
  author = {James Conway and John B. Etnyre},
  journal= {arXiv preprint arXiv:1811.00387},
  year   = {2020}
}

Comments

16 pages, minor edits

R2 v1 2026-06-23T05:00:38.260Z