Weinstein Conjecture and GW Invariants

math.DG

/ Authors

/ Abstract

In this paper, we establish a general relationship between the nonvanishing of GW invariants with the existence of the closed orbits of a Hamiltonian system. As an application, we completely solved the stabilized Weinstein conjecture.

Weinstein Conjecture and GW Invariants

math.DG

/ Authors

Gang Liu, Gang Tian

/ Abstract

In this paper, we establish a general relationship between the nonvanishing of GW invariants with the existence of the closed orbits of a Hamiltonian system. As an application, we completely solved the stabilized Weinstein conjecture.