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Abstract:
In this article we review the Duistermaat-Heckman integration formula and the ensuing equivariant cohomology structure, in the finite dimensional case. In particular, we discuss the connection between equivariant cohomology and classical integrability. We also explain how the integration formula is derived, and explore some possible new directions that could eventually yield novel integration formulas for nontrivial integrable models. Talk presented by A. Niemi at XXVIIth International Symposium on the Theory of Elementary Particles Wendisch-Rietz (Germany) September 7-11, 1993
  • talk
  • path integral: determinant
  • Hamiltonian formalism
  • differential forms
  • differential geometry
  • integrability