English

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

Symplectic Geometry 2014-06-09 v1 Representation Theory

Abstract

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.

Cite

@article{arxiv.math/9807110,
  title  = {Jeffrey-Kirwan-Witten Localization Formula for Reductions at Regular Co-adjoint Orbits},
  author = {Do Ngoc Diep},
  journal= {arXiv preprint arXiv:math/9807110},
  year   = {2014}
}

Comments

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