Gromov-Floer theory and disjunction energy of compact Lagrangian embeddings

Abstract

In this paper, we give a new simple proof of Chekanov's positivity theorem of the disjunction energy of compact Lagrangian submanifolds in tame symplectic manifolds. As a consequence, it also gives rise to a simple proof of nondegeneracy of Hofer's norm on the group of Hamiltonian diffeomorphisms on any tame symplectic manifolds.