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Supergeometry in equivariant cohomology

  • Superspace Approach To Supersymmetry
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Supersymmetries and Quantum Symmetries

Part of the book series: Lecture Notes in Physics ((LNP,volume 524))

Abstract

We analyze S 1 equivariant cohomology from the supergeometrical point of view. For this purpose we equip the external algebra of given manifold with equivariant even super(pre)symplectic structure, and show, that its Poincare-Cartan invariant defines equivariant Euler classes of surfaces. This allows to derive localization formulae by use of superanalog of Stockes theorem.

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Author information

Authors and Affiliations

  1. Bogolyubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia

    Armen Nersessian

  2. Department of Theoretical Physics, Yerevan State University, A. Manoukian st., 5, 375012, Yerevan, Armenia

    Armen Nersessian

Authors
  1. Armen Nersessian
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Julius Wess Evgeny A. Ivanov

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© 1999 Springer-Verlag

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Nersessian, A. (1999). Supergeometry in equivariant cohomology. In: Wess, J., Ivanov, E.A. (eds) Supersymmetries and Quantum Symmetries. Lecture Notes in Physics, vol 524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104590

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  • DOI: https://doi.org/10.1007/BFb0104590

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66004-0

  • Online ISBN: 978-3-540-48795-1

  • eBook Packages: Springer Book Archive

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