  We construct special pairs of quantum sigma models on Kahler Calabi-Yau and
non-Kahler Fu-Yau manifolds which flow to the same conformal field theories in
their "small-radius" phases. This smooth description of a novel type of
topology change constitutes strong evidence for Reid's conjecture on the
connectedness of moduli spaces of Kahler and non-Kahler manifolds with trivial
canonical class.
