Mathai-Quillen Formalism
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0505003,
title = {Mathai-Quillen Formalism},
author = {Siye Wu},
journal= {arXiv preprint arXiv:hep-th/0505003},
year = {2007}
}
Comments
9 pages, contribution to the Encyclopedia of Mathematical Physics