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.
| Original language | English |
|---|---|
| Pages (from-to) | 523-535 |
| Number of pages | 13 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 42 |
| Issue number | 4 |
| Early online date | 20 Apr 2012 |
| DOIs | |
| Publication status | Published - Dec 2012 |
Scopus Subject Areas
- Analysis
- Political Science and International Relations
- Geometry and Topology
User-Defined Keywords
- Differential characters
- Differential K-theory
- Index theory