Jeffrey-kirwan-witten Localization Formula for Reductions at Regular Co-adjoint Orbits
نویسنده
چکیده
For Marsden-Weinstein reduction at the point 0 in g∗, 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 the universal orbital formula of characters.
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Given a compact symplectic manifold M with the Hamiltonian action of a torus T , let zero be a regular value of the moment map, and M 0 the symplectic reduction at zero. Denote by κ 0 the Kirwan map H * T (M) → H * (M 0). For an equivariant cohomology class η ∈ H * T (M) we present new localization formulas which express M 0 κ 0 (η) as sums of certain integrals over the connected components of ...
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