A condensed proof of the differential Grothendieck-Riemann-Roch theorem

Man Ho Ho, Hong Kong Baptist University

Abstract

We give a direct proof that the Freed–Lott differential analytic index is well defined and a condensed proof of the differential Grothendieck– Riemann–Roch theorem. As a byproduct we also obtain a direct proof that the R/Z analytic index is well defined and a condensed proof of the R/Z Grothendieck–Riemann–Roch theorem.