Department of Mathematics
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.
Source Publication Title
Annals of Global Analysis and Geometry
Link to Publisher's Edition
Ho, M. (2012). The differential analytic index in Simons–Sullivan differential K-theory. Annals of Global Analysis and Geometry, 42 (4). https://doi.org/10.1007/s10455-012-9325-1