  Given a sufficiently nice collection of sheaves on an algebraic variety V,
Bondal explained how to build a quiver Q along with an ideal of relations in
the path algebra of Q such that the derived category of representations of Q
subject to these relations is equivalent to the derived category of coherent
sheaves on V. We consider the case in which these sheaves are all locally free
and study the moduli spaces of semistable representations of our quiver with
relations for various stability conditions. We show that V can often be
recovered as a connected component of such a moduli space and we describe the
line bundle induced by a GIT construction of the moduli space in terms of the
input data. In certain special cases, we interpret our results in the language
of topological string theory.
