The Weinstein conjecture for connected sums

Abstract

We prove the Weinstein conjecture for non-trivial contact connected sums under either of two topological conditions: non-trivial fundamental group or torsion-free homology.

13 pages, 1 figure

References in corpus (2)

• Reeb dynamics detects odd balls
• Subcritical contact surgeries and the topology of symplectic fillings

Cited by in corpus (7)

• Gromov compactness for holomorphic discs with totally real boundary conditions
• Polyfolds, Cobordisms, and the strong Weinstein conjecture
• The diffeomorphism type of symplectic fillings
• Periodic orbits in virtually contact structures
• Symplectic dynamics of contact isotropic torus complements
• Disjoinable Lagrangian tori and semisimple symplectic cohomology
• Two constructions of virtually contact structures