Wittmann, Johannes (2019) Minimal kernels of Dirac operators along maps. MATHEMATISCHE NACHRICHTEN, 292 (7). pp. 1627-1635. ISSN 0025-584X, 1522-2616
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Let M be a closed spin manifold and let N be a closed manifold. For maps f:M -> N and Riemannian metrics g on M and h on N, we consider the Dirac operator D-g,h(f) of the twisted Dirac bundle Sigma M circle times(R)f(*)TN. To this Dirac operator one can associate an index in KO-dim(M)(pt). If M is 2-dimensional, one gets a lower bound for the dimension of the kernel of D-g,h(f) out of this index. We investigate the question whether this lower bound is obtained for generic tupels (f,g,h).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SURGERY; Dirac operator; minimal kernel; spin geometry |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2020 10:52 |
| Last Modified: | 03 Apr 2020 10:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26712 |
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