Mon, 03 Dec 2007
13:15 -
14:15
L3
Floer cohomology of Lagrangian spheres in symplectic manifolds
Jean-Yves Welschinger
(Lyons)
Abstract
I will associate, to every pair of smooth transversal
Lagrangian spheres in a symplectic manifold having vanishing first Chern
class, its Floer cohomology groups. Hamiltonian isotopic spheres give
rise to isomorphic groups. In order to define these Floer cohomology
groups, I will make a key use of symplectic field theory.