Jeffrey-Kirwan-Witten Localization Formula for Reductions at Regular Co-Adjoint Orbits, by Do Ngoc Diep

For Marsden-Weinstein reduction at the point 0 in the dual space to the Lie algebra the well-known Jeffrey-Kirwan-Witten localization formula was proven and then by M. Vergne modified. We prove in this paper the same kind formula for the reduction at regular co-adjoint orbits by using also the universal orbital character formula. The main idea is related with the construction of Chern-Weil homomorphism.


Do Ngoc Diep <dndiep@thevinh.ncst.ac,vn>