Following 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. / text
Identifer | oai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/18425 |
Date | 16 October 2012 |
Creators | Ortiz, Michael Luis, 1979- |
Source Sets | University of Texas |
Language | English |
Detected Language | English |
Format | electronic |
Rights | Copyright 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. |
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