  In this paper we apply supersymmetric localization to study gauged linear
sigma models (GLSMs) describing supermanifold target spaces. We use the
localization method to show that A-twisted GLSM correlation functions for
certain supermanifolds are equivalent to A-twisted GLSM correlation functions
for hypersurfaces in ordinary spaces under certain conditions. We also argue
that physical two-sphere partition functions are the same for these two types
of target spaces. Therefore, we reproduce the claim of arXiv:hep-th/9404186,
arXiv:hep-th/9506070. Furthermore, we explore elliptic genera and (0,2)
deformations and find similar phenomena.
