University of Toronto's Symplectic Geometry Seminar

March 20, 2006, 2:10pm
Bahen 6183

Susan Tolman

University of Illinois at Urbana-Champaign

Graphs and equivariant cohomology: A (very) generalized Schubert calculus


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.