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arXiv · 2106.06625

Shifted symplectic reduction of derived critical loci

Mathieu Anel·Damien Calaque
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Abstract

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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BibTeXRIS

Mathieu Anel, Damien Calaque. 2021-06-11. Shifted symplectic reduction of derived critical loci. https://doi.org/10.4310/atmp.2022.v26.n6.a1

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