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Title:
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An index theorem in differential K-theory |
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Author:
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Klonoff, Kevin Robert, 1972- |
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Abstract:
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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 . |
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URI:
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http : / /hdl .handle .net /2152 /3912
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Date:
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2008-08-29 |