Abelianization and Quantum Lefschetz for Orbifold Quasimap $I$-Functions

Let $Y$ be a complete intersection in an affine variety $X$, with action by a complex reductive group $G$. Let $T \subset G$ be a maximal torus. A character $θ$ of $G$ defines GIT quotients $Y//_θG$ and $X//_θT$. We prove formulas relating the small quasimap I-function of $Y//_θG$ to that of $X//_θT$. When $X$ is a vector space, this provides a completely explicit formula for the small $I$-function of $Y//_θG$.

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