Towards a mirror theorem for GLSMs

We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model $(V, G, θ, w)$. We show that certain derivatives of $I$-functions of quasimap invariants of $[V //_θG]$ produce $I$-functions (appropriately defined) of the GLSM. When $G$ is an algebraic torus we obtain an explicit formula for an $I$-function, and check that it agrees with previously computed $I$-functions in known special cases. Our approach is based on a new construction of GLSM invariants which applies whenever the evaluation maps from the moduli space are proper, and includes insertions from light marked points.

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