Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A condensed proof of the differential Grothendieck-Riemann-Roch theorem   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.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th