Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Prequantization of the Moduli Space of the Vortex equations on
  a Riemann surface   The moduli space of solutions to the vortex equations on a Riemann surface
are well known to have a symplectic (in fact K\"{a}hler) structure. We show
this symplectic structure explictly and proceed to show a family of symplectic
(in fact, K\"{a}hler) structures $\Omega_{\Psi_0}$ on the moduli space,
parametrised by $\Psi_0$, a section of a line bundle on the Riemann surface.
Next we show that corresponding to these there is a family of prequantum line
bundles ${\mathcal P}_{\Psi_0} $on the moduli space whose curvature is
proportional to the symplectic forms $\Omega_{\Psi_0}$.

4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc