The differential analytic index in Simons-Sullivan differential K-theory

Details The differential analytic index in Simons-Sullivan differential K-theory The differential analytic index in Simons-Sullivan differential K-theory

2011-10-02

arxiv.org/abs/1110.0151v7

Mathematics

Differential Geometry

14 pages. Comments are welcome. Final version. To appear in Annals of Global Analysis and Geometry

Scientific paper

10.1007/s10455-012-9325-1

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.

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