Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the symplectic structure over a moduli space of orbifold projective
  structures   Let S be a compact connected oriented orbifold surface We show that using
Bers simultaneous uniformization, the moduli space of projective structure on S
can be mapped biholomorphically onto the total space of the holomorphic
cotangent bundle of the Teichm\"uller space for S. The total space of the
holomorphic cotangent bundle of the Teichm\"uller space is equipped with the
Liouville symplectic form, and the moduli space of projective structures also
has a natural holomorphic symplectic form. The above identification is proved
to be compatible with these symplectic structures. Similar results are obtained
for biholomorphisms constructed using uniformizations provided by Schottky
groups and Earle's version of simultaneous uniformization.

9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio