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arXiv · 2605.16226

Derived Symplectic Reduction in Differential Geometry

Nikolay Sheshko
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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.

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Nikolay Sheshko. 2026-05-15. Derived Symplectic Reduction in Differential Geometry. https://arxiv.org/abs/2605.16226

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