Let G be an n-torus, M a G-manifold and f a G-invariant Morse function if all the critical points are of even index. the stable and unstable manifolds of f support equivariant cohomology classes, and the restrictions of these classes to a given fixed point, p, is a family of polynomials. We discuss some recent results (with Catalin Zara) on the computation of these polynomials.