  In this paper, we apply the methods developed in recent work for constructing
A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In
particular, we study (0,2) Landau-Ginzburg models on topologically non-trivial
spaces away from large-radius limits, where one expects to find correlation
function contributions akin to (2,2) curve corrections. Such heterotic theories
admit A- and B-model twists, and exhibit a duality that simultaneously
exchanges the twists and dualizes the gauge bundle. We explore how this duality
operates in heterotic Landau-Ginzburg models, as well as other properties of
these theories, using examples which RG flow to heterotic nonlinear sigma
models as checks on our methods.
