#### Document Type

Journal Article

#### Department/Unit

Department of Mathematics

#### 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.

#### Publication Year

2014

#### Journal Title

Proceedings of the American Mathematical Society

#### Volume number

142

#### Issue number

6

#### Publisher

American Mathematical Society

#### First Page (page number)

1973

#### Last Page (page number)

1982

#### Referreed

1

#### DOI

10.1090/S0002-9939-2014-11948-4

#### ISSN (print)

0002-9939

#### Citation

Ho, Man Ho.
"A condensed proof of the differential Grothendieck-Riemann-Roch theorem."
*Proceedings of the American Mathematical Society*
142.6
(2014): 1973-1982.