On moduli spaces of quiver representations associated with dimer models

Abstract

We give a sufficient condition for the moduli space of quiver representations associated with a dimer model to be smooth for a general stability parameter. We also show that the moduli space in this case is a crepant resolution of the toric variety determined by the Newton polygon of the characteristic polynomial.

12 pages, 3 figures; Incorporated suggestions by Alastair King and the referee. In particular, "not necessarily consistent brane tiling" becomes "dimer model". To appear in RIMS Kokyuroku Bessatsu