Differential equivariant K-theory

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dc.contributor.advisorFreed, Daniel S.en
dc.creatorOrtiz, Michael Luis, 1979-en
dc.date.accessioned2012-10-16T19:28:06Zen
dc.date.accessioned2017-05-11T22:28:51Z
dc.date.available2012-10-16T19:28:06Zen
dc.date.available2017-05-11T22:28:51Z
dc.date.issued2009-05en
dc.descriptiontexten
dc.description.abstractFollowing Hopkins and Singer, we give a definition for the differential equivariant K-theory of a smooth manifold acted upon by a finite group. The ring structure for differential equivariant K-theory is developed explicitly. We also construct a pushforward map which parallels the topological pushforward in equivariant K-theory. An analytic formula for the pushforward to the differential equivariant K-theory of a point is conjectured, and proved in the boundary case and for ordinary differential K-theory in general. The latter proof is due to K. Klonoff.en
dc.description.departmentMathematicsen
dc.format.mediumelectronicen
dc.identifier.urihttp://hdl.handle.net/2152/18425en
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.titleDifferential equivariant K-theoryen

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