Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904927 | Advances in Mathematics | 2018 | 52 Pages |
Abstract
We give an infinite dimensional description of the differential K-theory of a manifold M. The generators are triples [H,A,Ï] where H is a Z2-graded Hilbert bundle on M, A is a superconnection on H and Ï is a differential form on M. The relations involve eta forms. We show that the ensuing group is the differential K-group KË0(M). In addition, we construct the pushforward of a finite dimensional cocycle under a proper submersion with a Riemannian structure. We give the analogous description of the odd differential K-group KË1(M). Finally, we give a model for twisted differential K-theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Alexander Gorokhovsky, John Lott,