导出临界轨迹的移位辛约简

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2021-06-11 DOI:10.4310/ATMP.2022.v26.n6.a1

M. Anel, D. Calaque

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引用次数: 5

摘要

我们证明了$G$不变函数$S:X\to\mathbb{a}^1$的导出临界轨迹携带一个位移矩映射，并且它的导出辛约化是诱导函数$S_{red}:X/G\to\mathbb{a}^1$在轨道堆栈上的导出临界轨迹。我们还提供了这个结果的一个相对版本，并证明了导出的辛约简与导出的拉格朗日交点交换。

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Shifted symplectic reduction of derived critical loci

We prove that the derived critical locus of a $G$-invariant function $S:X\to\mathbb{A}^1$ carries a shifted moment map, and that its derived symplectic reduction is the derived critical locus of the induced function $S_{red}:X/G\to\mathbb{A}^1$ on the orbit stack. We also provide a relative version of this result, and show that derived symplectic reduction commutes with derived lagrangian intersections.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.