Intersection Theory for Lagrangian Immersions
Manabu Akaho · Mathematical Research Letters · 2005
We introduce Floer homology for transversely intersecting Lagrangian immersions L and L in a symplectic manifold (X, ω).By using this homology, if π 2 (X, L) = 0 and L is the image of L under a Hamiltonian isotopy, then the number of the intersection points of L and L is bounded below by the sum of the Z 2 -betti numbers of L (or rather, the manifold whose immersion is L) and a non-negative extra term coming from the self-intersections of L.