• Corpus ID: 235422004

Shifted symplectic reduction of derived critical loci

  title={Shifted symplectic reduction of derived critical loci},
  author={Mathieu Anel and Damien Calaque},
We prove that the derived critical locus of a G-invariant function S : X → A carries a shifted moment map, and that its derived symplectic reduction is the derived critical locus of the induced function Sred : X/G → 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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