Communications in Mathematical Physics

, Volume 153, Issue 3, pp 447–463

BRST model for equivariant cohomology and representatives for the equivariant thom class

  • Jaap Kalkman
Article

DOI: 10.1007/BF02096949

Cite this article as:
Kalkman, J. Commun.Math. Phys. (1993) 153: 447. doi:10.1007/BF02096949

Abstract

In this paper the BRST formalism for topological field theories is studied in a mathematical setting. The BRST operator is obtained as a member of a one parameter family of operators connecting the Weil model and the Cartan model for equivariant cohomology. Furthermore, the BRST operator is identified as the sum of an equivariant derivation and its Fourier transform. Using this, the Mathai-Quillen representative for the Thom class of associated vector bundles is obtained as the Fourier transform of a simple BRST closed element.

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Jaap Kalkman
    • 1
  1. 1.Mathematical InstituteUniversity of UtrechtUtrechtThe Netherlands