The dirac operator and gravitation
β Scribed by Daniel Kastler
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 406 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
General theorems on pin structures on products of manifolds and on homogeneous (pseudo-) Riemannian spaces are given and used to find explicitly all such structures on odd-dimensional real projective quadrics, which are known to be non-orientable (Cahen et al. 1993). It is shown that the product of