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

@inproceedings{Webb2021AbelianizationAQ, title={Abelianization and Quantum Lefschetz for Orbifold Quasimap \$I\$-Functions}, author={Rachel Webb}, year={2021} }

Let Y be a complete intersection in an affine variety X, with action by a complex reductive group G. Let T ⊂ 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 Ifunction of Y / θG to that ofX/ 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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