Equivariant Morse theory and quantum integrability

Details Equivariant Morse theory and quantum integrability Equivariant Morse theory and quantum integrability

1994-06-13

arxiv.org/abs/hep-th/9406068v1

Physics

High Energy Physics

High Energy Physics - Theory

37 pages

Scientific paper

We investigate an equivariant generalization of Morse theory for a general class of integrable models. In particular, we derive equivariant versions of the classical Poincar\'e-Hopf and Gauss-Bonnet-Chern theorems and present the corresponding path integral generalizations. Our approach is based on equivariant cohomology and localization techniques, and is closely related to the formalism developed by Matthai and Quillen in their approach to Gaussian shaped Thom forms.

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