Symplectic dynamics of contact isotropic torus complements

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.

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

References in corpus (3)

• The plastikstufe - a generalization of the overtwisted disk to higher dimensions
• Periodic orbits in virtually contact structures
• Two constructions of virtually contact structures