Notes on Equivariant Localization

  • Anton Alekseev
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 543)


We review the localization formula due to Berline-Vergne and Atiyah- Bott, with applications to the exact stationary phase phenomenon discovered by Duistermaat-Heckman. We explain the Weil model of equivariant cohomology and recall its relation to BRST. We show how to quantize the Weil model, and obtain new localization formulas which, in particular, apply to Hamiltonian spaces with group valued moment maps.


Equivariant Form Erential Form Equivariant Cohomology Circle Action Dominant Weight 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Anton Alekseev
    • 1
  1. 1.Institutionen för Teoretisk FysikUppsala UniversitetUppsalaSweden

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