Some applications of abelianization in Gromov–Witten theory

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-07-17 DOI:10.1112/jlms.70236

Nawaz Sultani, Rachel Webb

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引用次数: 0

Abstract

Let $G$ be a complex reductive group and let $X$ and $E$ be two linear representations of $G$ . Let $Y$ be a complete intersection in $X$ equal to the zero locus of a $G$ -equivariant section of the trivial bundle $E \times X \to X$ . We explain some general techniques for using quasimap formulas to compute useful $I$ -functions of $Y / / G$ . We work several explicit examples, including a rigorous derivation of the conjectural quantum period in Oneto and Petracci (Adv. Geom. 18 (2018), no. 3, 303–336).

查看原文本刊更多论文

阿贝尔化在Gromov-Witten理论中的一些应用

设G$ G$是一个复约群，设X$ X$和E$ E$是G$ G$的两个线性表示。设Y$ Y$是X$ X$中的一个完全交等于平凡束E × X→X$ E \乘以X \右X$的G$ G$ -等变截面的零轨迹。我们解释了一些使用拟映射公式来计算Y / / G$ Y\mathord {/\hspace{-3.33328pt}/}G$的有用I$ I$ -函数的一般技术。我们研究了几个明确的例子，包括Oneto和Petracci猜想量子周期的严格推导（Adv. Geom. 18 (2018), no. 5）。3, 303 - 336)。

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.