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 |
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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 |
User-Defined Keywords
- Differential characters
- Differential K-theory
- Index theory