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We present a local computation of deformations of the tangent bundle for aresolved orbifold singularity C^d/G. These correspond to (0,2)-deformations of(2,2)-theories. A McKay-like correspondence is found predicting the dimensionof the space of first-order deformations from simple calculations involving thegroup. This is confirmed in two dimensions using the Kronheimer-Nakajima quiverconstruction. In higher dimensions such a computation is subject to nontrivialworldsheet instanton corrections and some examples are given where thishappens. However, we conjecture that the special crepant resolution given bythe G-Hilbert scheme is never subject to such corrections, and show this istrue in an infinite number of cases. Amusingly, for three-dimensional exampleswhere G is abelian, the moduli space is associated to a quiver given by thetoric fan of the blow-up. It is shown that an orbifold of the form C^3/Z7 has anontrivial superpotential and thus an obstructed moduli space.

A McKay-Like Correspondence for (0,2)-Deformations