English

Symplectic dynamics of contact isotropic torus complements

Symplectic Geometry 2019-03-28 v4

Abstract

We determine the homotopy type of isotropic torus complements in closed contact manifolds in terms of Reeb dynamics of special contact forms. For that we utilize holomorphic curve techniques known from symplectic field theory as Gromov-Hofer compactness and localized transversality on non-compact contact manifolds.

Keywords

Cite

@article{arxiv.1710.02047,
  title  = {Symplectic dynamics of contact isotropic torus complements},
  author = {Kilian Barth and Jay Schneider and Kai Zehmisch},
  journal= {arXiv preprint arXiv:1710.02047},
  year   = {2019}
}

Comments

Change from xypic to diagrams (by Paul Tayler), appendix added, referee comments incorporated