Derived Symplectic Reduction in Differential Geometry
Symplectic Geometry
2026-05-18 v1
Abstract
In this article we prove a derived version of the Marsden-Weinstein-Meyer symplectic reduction theorem. We model the symplectic quotient as a dg-groupoid. We then construct the reduced symplectic form inside the Bott-Shulman complex of the groupoid. Finally, we show that the reduced form satisfies a derived analogue of the non-degeneracy condition.
Cite
@article{arxiv.2605.16226,
title = {Derived Symplectic Reduction in Differential Geometry},
author = {Nikolay Sheshko},
journal= {arXiv preprint arXiv:2605.16226},
year = {2026}
}