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dc.contributor.advisorFreed, Daniel S.
dc.creatorAlter, Mio Ilanen
dc.date.accessioned2013-10-23T16:49:24Zen
dc.date.issued2013-05en
dc.date.submittedMay 2013en
dc.identifier.urihttp://hdl.handle.net/2152/21680en
dc.descriptiontexten
dc.description.abstractFor T the circle group, we construct a differential refinement of T-equivariant K-theory. We first construct a de Rham model for delocalized equivariant cohomology and a delocalized equivariant Chern character based on [19] and [14]. We show that the delocalized equivariant Chern character induces a complex isomorphism. We then construct a geometric model for differential T-equivariant K-theory analogous to the model of differential K-theory in [27] and deduce its basic properties.en
dc.format.mimetypeapplication/pdfen
dc.language.isoen_USen
dc.subjectK-theoryen
dc.subjectDifferential K-theoryen
dc.subjectEquivariant K-theoryen
dc.subjectDifferential cohomologyen
dc.titleDifferential T-equivariant K-theoryen
dc.date.updated2013-10-23T16:49:24Zen
dc.description.departmentMathematicsen
thesis.degree.departmentMathematicsen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen


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