Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The pre-symplectic geometry of opers and the holonomy map   In this paper, we construct the moduli space of marked oper structures on a
closed, oriented smooth surface of negative Euler characteristic as a
holomorphic fiber bundle over Teichm\"{u}ller space. We prove that the holonomy
map from the space of marked oper structures to the moduli space of reductive
flat bundles is a holomorphic immersion, generalizing the known results for the
moduli space of marked complex projective structures. Finally, we prove that
the symplectic structure on the moduli space of marked complex projective
structures extends to a pre-symplectic structure on the moduli space of marked
opers whose reduced phase space is the space of marked complex projective
structures.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat