Gajdzinski, Cezary2014-03-142014-03-141994-05-03etd-10242005-174011http://hdl.handle.net/10919/40151For 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.iv, 78 leavesBTDapplication/pdfenIn CopyrightLD5655.V856 1994.G353Elliptic operatorsManifolds (Mathematics)Dissertationhttp://scholar.lib.vt.edu/theses/available/etd-10242005-174011/