  We relate the representations of the rational Cherednik algebras associated
with the complex reflection group G(m,1,n) to sheaves on Nakajima quiver
varieties associated with extended Dynkin gaphs via a Z-algebra construction.
As the parameters defining the Cherednik algebra vary, the stability conditions
defining the quiver variety change. We interpret the ordering on category O
geometrically using this relationship; we also relate the geometry to the
a-function for Hecke algebras with unequal parameters.
