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Subtleties of Quantum Lefshetz without Convexity

2022/08/18 by Nawaz Sultani, Sultani, Nawaz, Rachel Webb +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2208.08987

openalex publication_date 2022/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Let Y\mathord/\mkern-6mu/θG be a complete intersection in a GIT quotient X\mathord/\mkern-6mu/θG cut out by a G-representation E. We show that the E-twisted quasimap I-function recovers invariants of (Y, G, θ) if its nonequivariant limit exists before restriction to Y\mathord/\mkern-6mu/θG. This corrects a conjecture credited to Coates-Corti-Iritani-Tseng. We explain how to correct computations in the literature based on the faulty conjecture.

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