Two constructions of virtually contact structures

Abstract

Motivated by recent developments in proving the Weinstein conjecture we introduce the notion of covering contact connected sum for virtually contact manifolds and construct virtually contact structures on boundaries of subcritical handle bodies.

manuscript rewritten, stronger results

References in corpus (4)

• On the existence of periodic orbits for magnetic systems on the two-sphere
• The diffeomorphism type of symplectic fillings
• From a Reeb orbit trap to a Hamiltonian plug
• Periodic orbits in virtually contact structures

Cited by in corpus (2)

• Periodic orbits in virtually contact structures
• Symplectic dynamics of contact isotropic torus complements