Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2009) Surgery and harmonic spinors. ADVANCES IN MATHEMATICS, 220 (2). pp. 523-539. ISSN 0001-8708, 1090-2082
Full text not available from this repository. (Request a copy)Abstract
Let M he a compact spin manifold with a chosen spin structure. The Atiyah-Singer index theorem implies that for any Riemannian metric on M the dimension of the kernel of the Dirac operator is bounded from below by a topological quantity depending only on M and the spin structure. We show that for generic metrics on M this bound is attained. (C) 2008 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SIMPLY CONNECTED MANIFOLDS; POSITIVE SCALAR CURVATURE; DIRAC OPERATOR; Dirac operator; Eigenvalue; Surgery |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Oct 2020 08:13 |
| Last Modified: | 07 Oct 2020 08:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29561 |
Actions (login required)
 |
View Item |
