Differential equivariant K-theory
| dc.contributor.advisor | Freed, Daniel S. | en |
| dc.creator | Ortiz, Michael Luis, 1979- | en |
| dc.date.accessioned | 2012-10-16T19:28:06Z | en |
| dc.date.available | 2012-10-16T19:28:06Z | en |
| dc.date.issued | 2009-05 | en |
| dc.description | text | en |
| dc.description.abstract | 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. | en |
| dc.description.department | Mathematics | en |
| dc.format.medium | electronic | en |
| dc.identifier.uri | http://hdl.handle.net/2152/18425 | en |
| dc.language.iso | eng | en |
| dc.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. | en |
| dc.subject.lcsh | K-theory | en |
| dc.title | Differential equivariant K-theory | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | The University of Texas at Austin | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.name | Doctor of Philosophy | en |