March 20, 2006, 2:10pm

Bahen 6183

Abstract:Let a torus act on a compact symplectic manifold M in a Hamiltonian fashion with isolated fixed points; assume that there exists an invariant Palais-Smale metric. (For example, let M be a flag variety). We associate a labelled graph to M, and show that the equivariant cohomology ring of M can be computed by (appropriately) counting paths in this graph. Joint work with R. Goldin.