  In this article we will construct a universal moduli space of stable
parabolic vector bundles over the moduli space of marked Deligne-Mumford stable
curves $\overline{M}_{_{g, n}}$. The objects that appear over the boundary of
$\overline{M}_{_{g, n}}$ i.e., over singular curves will remain vector bundles.
The total space and the fibers over $\overline{M}_{_{g, n}}$ will have good
singularities.

Algebraic Geometry