The differential analytic index in Simons-Sullivan differential K-theory
arXiv:1110.0151 · doi:10.1007/s10455-012-9325-1
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.
14 pages. Comments are welcome. Final version. To appear in Annals of Global Analysis and Geometry