Connections on Clifford bundles and the Dirac operator
β Scribed by M. Blau
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 383 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
The paper deals with conformally invariant higher-order operators acting on spinor-valued functions, such that their symbols are given by powers of the Dirac operator. A general classification result proves that these are unique, up to a constant multiple. A general construction for such an invarian
Let G be a compact connected Lie group, and (M, |) a compact Hamiltonian G-space, with moment map J : M Γ g\*. Under the assumption that these data are pre-quantizable, one can construct an associated Spin c Dirac operator % C , whose equivariant index yields a virtual representation of G. We prove