Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Abstract Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these …