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Notes on Equivariant Localization

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Geometry and Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 543))

Abstract

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.

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Author information

Authors and Affiliations

  1. Institutionen för Teoretisk Fysik, Uppsala Universitet, Box 803, S-751 08, Uppsala, Sweden

    Anton Alekseev

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  1. Anton Alekseev
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Editors and Affiliations

  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, 8010, Graz, Austria

    H. Gausterer  & L. Pittner  & 

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Harald Grosse

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© 2000 Springer-Verlag Berlin Heidelberg

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Alekseev, A. (2000). Notes on Equivariant Localization. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_1

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  • DOI: https://doi.org/10.1007/3-540-46552-9_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67112-1

  • Online ISBN: 978-3-540-46552-2

  • eBook Packages: Springer Book Archive

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