Mathai-Quillen Formalism

Details Mathai-Quillen Formalism Mathai-Quillen Formalism

2005-04-30

arxiv.org/abs/hep-th/0505003v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, contribution to the Encyclopedia of Mathematical Physics

Scientific paper

We begin with the construction of Mathai-Quillen's Thom form. We also study the case with group actions, with a review of equivariant cohomology and then Mathai-Quillen's construction in this setting. Next, we show that much of the above can be formulated as a "field theory" on a superspace of one fermionic dimension. Finally, we present the interpretation of topological field theories using the Mathai-Quillen formalism.

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