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Virginia Tech
L2-Indices for Perturbed Dirac Operators on Odd Dimensional Open Complete Manifolds
Abstract
dc:description.abstractFor 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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 1994
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Gajdzinski, Cezary
- Chair dc:contributor.committeechair
-
- Haskell, Peter E.
- Committee members dc:contributor.committeemember
-
- Zweifel, Paul F.
- Murray, M. M.
- Hagedorn, George A.
- Klaus, Martin
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-10242005-174011
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/40151