• Corpus ID: 235422004

# Shifted symplectic reduction of derived critical loci

@inproceedings{Anel2021ShiftedSR,
title={Shifted symplectic reduction of derived critical loci},
author={Mathieu Anel and Damien Calaque},
year={2021}
}
• Published 11 June 2021
• Mathematics
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.
4 Citations
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