论文标题

在男性转化下的相对量子共同体

Relative quantum cohomology under birational transformations

论文作者

You, Fenglong

论文摘要

我们研究了Tseng定义的相对量子共同体如何在Birational Tranctrations下变化。对于包含不确定性基因座的简单正常交叉分隔的曲折完整交叉点,我们证明可以直接识别其各自的相对$ i $函数。对于感谢您与平滑除数的共同交叉点,我们证明它们各自的相对$ i $功能是通过分析延续相关的。我们还研究了与极端过渡和FJRW理论的一些联系。

We study how relative quantum cohomology, defined by Tseng--You and Fan--Wu--You, varies under birational transformations. For toric complete intersections with simple normal crossings divisors that contain the loci of indeterminacy, we prove that their respective relative $I$-functions can be directly identified. For toric complete intersections with smooth divisors, we prove that their respective relative $I$-functions are related by analytic continuation. We also study some connections with extremal transitions and FJRW theory.

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