Gromov-Floer theory and disjunction energy of compact Lagrangian embeddings

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 {\it simple} proof of nondegeneracy of Hofer’s norm on the group of Hamiltonian diffeomorphisms on any {\it tame} symplectic manifolds.

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Published 1 January 1997