An index theorem in differential K-theory
Access full-text files
Date
2008-05
Authors
Klonoff, Kevin Robert, 1972-
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We 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.
Department
Description
text