  In this paper we extend work on exotic two-dimensional (2,2) supersymmetric
gauged linear sigma models (GLSMs) in which, for example, geometries arise via
nonperturbative effects, to (0,2) theories, and in so doing find some novel
(0,2) GLSM phenomena. For one example, we describe examples in which bundles
are constructed physically as cohomologies of short complexes involving torsion
sheaves, a novel effect not previuosly seen in (0,2) GLSMs. We also describe
examples related by RG flow in which the physical ralizations of the bundles
are related by quasi-isomorphism, analogous to the physical realization of
quasi-isomorphisms in D-branes and derived categories, but novel in (0,2)
GLSMs. Finally, we also discuss (0,2) deformations in various duality frames of
other examples.
