  We study the representation theory of quantizations of Gieseker moduli
spaces. We describe the categories of finite dimensional representations for
all parameters and categories O for special values of parameters. We find the
values of parameters, where the quantizations have finite homological
dimension, and establish abelian localization theorem. We describe the
two-sided ideals. Finally, we determine annihilators of the irreducible objects
in categories O for some special choices of one-parameter subgroups.
