Titlebook: Heat Kernels and Dirac Operators; Nicole Berline,Ezra Getzler,Michèle Vergne Textbook 20041st edition Springer-Verlag Berlin Heidelberg 20

Mortar

出生

踉蹌

badinage

The Equivariant Index Theorem,t ? → . be a Clifford module with Clifford connection; if . acts on . compatibly with the Clifford action and Clifford connection, we call . an equivariant Clifford module. If D is the Dirac operator on . associated to the given data, then D commutes with the action of .; hence, the kernel of D is a

Ballerina

Equivariant Differential Forms,sible to localize the calculation of such integrals to the zero set of a vector field on the manifold. In this chapter, we will describe a generalization of this, a localization formula for equivariant differential forms. Only the results of Chapter 1 are a prerequisite to reading this chapter.

尊敬

The Kirillov Formula for the Equivariant Index,pecial case of the fixed point formula for the equivariant index of Chapter 6. However, there is another formula, the universal character formula of Kirillov[73], which presents the character not as a sum over fixed points but as an integral over a certain orbit of . in its coadjoint representation

canonical

阻礙

The Family Index Theorem,pose in addition that there is a connection Δ. given on ? whose restriction to each bundle ?. is a Clifford connection. Let π.? be the infinite-dimensional bundle over . whose fibre at . is the space Γ(.,?.); let D = (D.| z ∈ .) be the family of Dirac operators acting on the fibres of π.?, construct

VAN

對(duì)待

Nicole Berline,Ezra Getzler,Michèle VergneAs we shift our focus from China to India, we notice that local power structure in the latter is closely linked with the panchayati raj, the key political institutions in the village. This does not mean that CSOs and NGOs do not exist in Indian villages.