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arxiv: 1205.6519 · v1 · pith:SX3PHAQCnew · submitted 2012-05-29 · 🧮 math.AG · math.RT· math.SG

The Derived Marsden-Weinstein Quotient is Symplectic

Jeremy Pecharich This is my paper
classification 🧮 math.AG math.RTmath.SG
keywords symplecticderivedformactionalongartinassumptionscategory
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Let $(X,\omega_X)$ be a derived scheme with a 0-symplectic form and suppose there is a Hamiltonian $G$-action with a moment map for $G$ a reductive group. We prove, under no further assumptions, that symplectic reduction along any coadjoint orbit in the category of derived Artin stacks has a 0-symplectic form.

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  1. Derived Symplectic Reduction in Differential Geometry

    math.SG 2026-05 unverdicted novelty 7.0

    Proves a derived symplectic reduction theorem by modeling the quotient as a dg-groupoid and constructing a non-degenerate reduced form in the Bott-Shulman complex.