  We compute genus zero correlators of hybrid phases of Calabi-Yau gauged
linear sigma models (GLSMs), i.e. of phases that are Landau-Ginzburg orbifolds
fibered over some base. These correlators are generalisations of Gromov-Witten
and FJRW invariants. Using previous results on the structure of the of the
sphere- and hemisphere partition functions of GLSMs when evaluated in different
phases, we extract the I-function and the J-function from a GLSM calculation.
The J-function is the generating function of the correlators. We use the field
theoretic description of hybrid models to identify the states that are inserted
in these correlators. We compute the invariants for examples of one- and
two-parameter hybrid models. Our results match with results from mirror
symmetry and FJRW theory.
