Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analogue of the Narasimhan-Seshadri theorem and some applications   We prove an analogue in higher dimensions of the classical
Narasimhan-Seshadri theorem for strongly stable vector bundles of degree 0 on a
smooth projective variety $X$ with a fixed ample line bundle $\Theta$. As
applications, over fields of characteristic zero, we give a new proof of the
main theorem in a recent paper of Balaji and Koll\'ar and derive an effective
version of this theorem; over uncountable fields of positive characteristics,
if $G$ is a simple and simply connected algebraic group and the characteristic
of the field is bigger than the Coxeter index of $G$, we prove the existence of
strongly stable principal $G$ bundles on smooth projective surfaces whose
holonomy group is the whole of $G$.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex