An index theorem in differential K-theory

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Title: An index theorem in differential K-theory
Author: Klonoff, Kevin Robert, 1972-
Abstract: We construct a geometric model for differential K -theory , and prove it is isomorphic to the model proposed in [25] . We construct differential K -orientations for families and elucidate the pushforward map given in [25] in detail . We prove a geometric index theorem for odd dimensional manifolds . Finally , using this index theorem and the holonomy theorem of Bismut and Freed from [10] , we prove what may be considered a special case of a geometric refinement of the Aityah -Singer index theorem .
URI: http : / /hdl .handle .net /2152 /3912
Date: 2008-08-29


An index theorem in differential K-theory. Doctoral dissertation, The University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /3912 .

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