The Derived Marsden-Weinstein Quotient is Symplectic
Abstract
Let (X,ωX) 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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