A geometric refinement of a theorem of Chekanov

TL;DR

This paper proves a conjecture in symplectic geometry that refines Chekanov's theorem on the Hofer distance between Hamiltonian isotopic Lagrangian submanifolds, advancing understanding of geometric properties in this setting.

Contribution

It introduces a geometric refinement of Chekanov's theorem, confirming a conjecture by Barraud and Cornea in the monotone case.

Findings

Proves a conjecture relating to the Hofer distance

Refines Chekanov's theorem with a new geometric approach

Advances the understanding of Lagrangian submanifold geometry

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.