Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent sheaves, superconnections, and RRG   Given a compact complex manifold, the purpose of this paper is to construct
the Chern character for coherent sheaves with values in Bott-Chern cohomology,
and to prove a corresponding Riemann-Roch-Grothendieck formula. Our paper is
based on a fundamental construction of Block.

1
The categories of this paper are: cs
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg