The differential analytic index in Simons-Sullivan differential K-theory
Differential Geometry
2012-11-16 v7 K-Theory and Homology
Abstract
We define the Simons-Sullivan differential analytic index by translating the Freed-Lott differential analytic index via explicit ring isomorphisms between Freed-Lott differential K-theory and Simons-Sullivan differential K-theory. We prove the differential Grothendieck-Riemann-Roch theorem in Simons-Sullivan differential K-theory using a theorem of Bismut.
Keywords
Cite
@article{arxiv.1110.0151,
title = {The differential analytic index in Simons-Sullivan differential K-theory},
author = {Man-Ho Ho},
journal= {arXiv preprint arXiv:1110.0151},
year = {2012}
}
Comments
14 pages. Comments are welcome. Final version. To appear in Annals of Global Analysis and Geometry