An overtwisted disk in a virtual contact structure and the Weinstein conjecture

Abstract

Hofer proved the Weinstein conjecture for a closed contact 3-manifold with an overtwisted disk. In this article we extend it to the virtual contact structure and provide a new explicit example of the virtual contact structure with an overtwisted disk via a Lutz twist.

20 pages, 2 figures, comments welcome!

References in corpus (3)

• Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations
• First steps in stable Hamiltonian topology
• The growth sequence of symplectomorphisms on symplectically hyperbolic manifolds

Cited by in corpus (1)

• Two constructions of virtually contact structures