paper

A geometric refinement of a theorem of Chekanov

arXiv:1011.0392

Abstract

We prove a conjecture of Barraud and Cornea in the monotone setting, refining a result of Chekanov on the Hofer distance between two Hamiltonian isotopic Lagrangian submanifolds.

arXiv comment19 pages, 7 figures. Second version, to appear in Journal of Symplectic Geometry. We changed the statement of Theorem 1.2 to take into account sphere bubbling and non transversal Lagrangians