论文标题
Abelianization在Gromov-Witten理论中的某些应用
Some Applications of Abelianization in Gromov-Witten Theory
论文作者
论文摘要
让$ g $成为一个复杂的还原组，让$ x $和$ e $为$ g $的两个线性表示。令$ y $为$ x $的完整交叉点，等于$ g $ equivariant的零基因座，$ g $ equivariant $ e \ times x \ to x $。我们解释了一些使用Quasimap公式来计算$ y \ Mathord {/\ mkern-6mu/} G $的有用$ i $ functions的一般技术。我们工作了几个明确的例子，包括由Oneto-Petracci猜想的量子周期的严格推导。
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 $Y\mathord{/\mkern-6mu/} G$. We work several explicit examples, including a rigorous derivation of a quantum period computed conjecturally by Oneto-Petracci.
