Abelianization and Quantum Lefschetz for Orbifold Quasimap I-Functions

2021/09/24 by Rachel Webb, Webb, Rachel
Mathematics · #14D23 #14N35 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2109.12223

openalex publication_date 2021/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 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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