Browsing by Author "Gajdzinski, Cezary"

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    L2-Indices for Perturbed Dirac Operators on Odd Dimensional Open Complete Manifolds
    Gajdzinski, Cezary (Virginia Tech, 1994-05-03)
    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.