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Article Dans Une Revue Advances in Theoretical and Mathematical Physics Année : 2022

Shifted symplectic reduction of derived critical loci

Mathieu Anel
  • Fonction : Auteur

Résumé

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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Dates et versions

hal-03260929 , version 1 (24-02-2024)

Identifiants

Citer

Mathieu Anel, Damien Calaque. Shifted symplectic reduction of derived critical loci. Advances in Theoretical and Mathematical Physics, 2022, 26 (6), pp.1543-1583. ⟨10.4310/ATMP.2022.v26.n6.a1⟩. ⟨hal-03260929⟩
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