| Type of Document |
Dissertation |
| Author |
Gajdzinski, Cezary
|
| URN |
etd-10242005-174011 |
| Title |
L2-Indices for Perturbed Dirac Operators on Odd Dimensional Open Complete Manifolds |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Haskell, Peter E. |
Committee Chair |
| Hagedorn, George A. |
Committee Member |
| Klaus, Martin |
Committee Member |
| Murray, M. M. |
Committee Member |
| Zweifel, Paul F. |
Committee Member |
|
| Keywords |
- Manifolds (Mathematics)
- Elliptic operators.
|
| Date of Defense |
1994-05-03 |
| Availability |
restricted |
Abstract
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.
|
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LD5655.V856_1994.G353.pdf |
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