Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauss-Bonnet-Chern theorem on moduli space   In this paper, we proved the Gauss-Bonnet-Chern theorem on moduli space of
polarized Kahler manifolds. Using our results, we proved the rationality of the
Chern-Weil forms (with respect to the Weil-Petersson metric) on CY moduli.
  As an application in physics, by the Ashok-Douglas theory, counting the
number of flux compactifications of the type IIb string on a Calabi-Yau
threefold is related to the integrations of various Chern-Weil forms. We proved
that all these integrals are finite (and also rational).

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: econ
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an