Cup-length estimate for Lagrangian intersections

Details Cup-length estimate for Lagrangian intersections Cup-length estimate for Lagrangian intersections

2003-04-07

arxiv.org/abs/math/0304097v1

Mathematics

Symplectic Geometry

18 pages, submitted

Scientific paper

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.

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