For perturbations of the Callias and Anghel type the L2-index of the perturbed Dirac operator on a Spin c -manifold is realized as the result of pairing an element in K -homology with an element of compactly supported K -cohomology. This is achieved by putting the problem of calculating the Fredholm index of the perturbed Dirac operator in the framework of KK-theory and using the identification of K-groups with KK-groups. The formula for the Fredholm index is given in terms of topological data of the Spin c-manifold and the structure of the perturbation. / Ph. D.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/40151 |
| Date | 24 October 2005 |
| Creators | Gajdzinski, Cezary |
| Contributors | Mathematics, Haskell, Peter E., Zweifel, Paul F., Murray, M. M., Hagedorn, George A., Klaus, Martin |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | English |
| Detected Language | English |
| Type | Dissertation, Text |
| Format | iv, 78 leaves, BTD, application/pdf, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | OCLC# 30751566, LD5655.V856_1994.G353.pdf |
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