Differential Equivariant K-Theory
Algebraic Topology
2009-06-01 v2 Differential Geometry
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, in the case of a free action, and for ordinary differential K-theory in general. The latter proof is due to K. Klonoff.
Cite
@article{arxiv.0905.0476,
title = {Differential Equivariant K-Theory},
author = {Michael L. Ortiz},
journal= {arXiv preprint arXiv:0905.0476},
year = {2009}
}
Comments
64 pages; corrected the discussion of ring structure