Jeffrey-Kirwan-Witten Localization Formula for Reductions at Regular Co-adjoint Orbits

Details Jeffrey-Kirwan-Witten Localization Formula for Reductions at Regular Co-adjoint Orbits Jeffrey-Kirwan-Witten Localization Formula for Reductions at Regular Co-adjoint Orbits

1998-07-21

arxiv.org/abs/math/9807110v1

Mathematics

Symplectic Geometry

17 pages, AMSLaTeX file, accepted for publication in Matimyas Matematik

Scientific paper

For Marsden-Weinstein reductions at the point 0 in the vector space dual to
the Lie algebra, the well-known Jeffrey-Kirwan-Witten localization formula was
proven and lastly modified by M. Vergne. We prove in this paper the same kind
formula for the reductions at regular coadjoint orbits by using the universal
orbital formula of characters.

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