Cup-length estimate for Lagrangian intersections
Symplectic Geometry
2007-05-23 v1
Abstract
In this paper we consider the Arnold conjecture on the Lagrangian intersections of some closed Lagrangian submanifold of a closed symplectic manifold with its image of a Hamiltonian diffeomorphism. We prove that if the Hofer's symplectic energy of the Hamiltonian diffeomorphism is less than a topology number defined by the Lagrangian submanifold, then the Arnold conjecture is true in the degenerated (non-transversal) case.
Cite
@article{arxiv.math/0304097,
title = {Cup-length estimate for Lagrangian intersections},
author = {Chun-gen Liu},
journal= {arXiv preprint arXiv:math/0304097},
year = {2007}
}
Comments
18 pages, submitted