Title page for ETD etd-10242005-174011


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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