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

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疾驰

Characteristic Classes,racteristic classes. But we have not really written down what the ring . (.*). is for any group .. The main function of this chapter is to remedy this by summarizing standard computations of . (.*). for various important groups. Suppose that: ø : . → . is a Lie group homomorphism, and let . denote t

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Equivariant Symplectic Forms,be considered as a . equivariant map,.from the Lie algebra, . to the space of smooth functions on .. For each . ∈ ., ø (.) is a smooth function on ., and this function depends linearly on . Therefore, for each . ∈ ., the value ø (.(.)) depends linearly on, so we can think of ø as defining a map from

ALIBI

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Forehead-Lift

VOC

Characteristic Classes,he Lie algebra of .. The induced Lie algebra map . → . dualizes to a map .* → .* which extends to an algebra homomorphism .(.*). → S(.*).. We will examine this homomorphism for various examples of inclusions of classical groups.

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影响

The Weil Model and the Cartan Model,tation of (. ⊗ .). is complicated. So we will begin with a theorem of Mathai and Quillen which shows how to find an automorphism of . ⊗ . which simplifies this computation. For technical reasons we will work with . ⊗ . instead of . ⊗ . and replace . by an arbitrary .⋆ module.

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