An index theorem in differential K-theory

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dc.contributor.advisorFreed, Daniel S.en
dc.creatorKlonoff, Kevin Robert, 1972-en
dc.date.accessioned2008-08-29T00:18:46Zen
dc.date.accessioned2017-05-11T22:19:27Z
dc.date.available2008-08-29T00:18:46Zen
dc.date.available2017-05-11T22:19:27Z
dc.date.issued2008-05en
dc.descriptiontexten
dc.description.abstractWe 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.en
dc.description.departmentMathematicsen
dc.format.mediumelectronicen
dc.identifierb70670067en
dc.identifier.oclc243859235en
dc.identifier.urihttp://hdl.handle.net/2152/3912en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshK-theoryen
dc.subject.lcshK-theory--Mathematical modelsen
dc.subject.lcshIndex theoremsen
dc.titleAn index theorem in differential K-theoryen
dc.type.genreThesisen

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