An Index Formula for Perturbed Dirac Operators on Lie Manifolds
โ Scribed by Carvalho, Catarina; Nistor, Victor
- Book ID
- 120956811
- Publisher
- Springer-Verlag
- Year
- 2013
- Tongue
- English
- Weight
- 526 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1050-6926
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An expression is found for the L 2 -index of a Dirac operator coupled to a connection on a U n vector bundle over S 1 \_R 3 . Boundary conditions for the connection are given which ensure the coupled Dirac operator Fredholm. Callias' index theorem is used to calculate the index when the connection i
An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold of positive scalar curvature admitting a parallel one-form is found. The possible universal covering spaces of the manifolds on which the smallest possible eigenvalue is attained are also listed. Moreover,