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Titlebook: Supersymmetry and Equivariant de Rham Theory; Victor W. Guillemin,Shlomo Sternberg,Jochen Brünin Book 1999 Springer-Verlag Berlin Heidelbe

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The Weil Algebra,e symmetric algebra considered as an algebra all of whose elements are even. So we assign to each element of ⋀. its exterior degree, but each element of .. (.) is assigned the degree 2.. The . is the tensor product ⋀ ⊗..
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The Thom Class and Localization,Our goal in this chapter is to construct, in a rather canonical way, the equivariant version of the Thom form, following the construction given by Mathai-Quillen [MQ] in the case of ordinary cohomology. We then give some important applications of this construction.
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,* Modules,d . letter occurs as a superscript and a subscript, but not if the repeated index is a Greek letter. So, for example, if . is a Lie algebra, and we have fixed a basis, ..,...,.. we have.where the .are called the structure constants of . relative to our chosen basis.
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