  We discuss D3-branes on cohomogeneity-three resolved Calabi-Yau cones over
L^{abc} spaces, for which a 2-cycle or 4-cycle has been blown up. In terms of
the dual quiver gauge theory, this corresponds to motion along the non-mesonic,
or baryonic, directions in the moduli space of vacua. In particular, a
dimension-two and/or dimension-six scalar operator gets a vacuum expectation
value. These resolved cones support various harmonic (2,1)-forms which reduce
the ranks of some of the gauge groups either by a Seiberg duality cascade or by
Higgsing. We also discuss higher-dimensional resolved Calabi-Yau cones. In
particular, we obtain square-integrable (2,2)-forms for eight-dimensional
cohomogeneity-four Calabi-Yau metrics.
