Shifted symplectic structures are built on rigidified moduli spaces of sheaves on Calabi-Yau varieties of dimension two or higher, with a proof that B G_m actions are Hamiltonian and a new rigidification functor as left adjoint.
Safronov, Quasi-Hamiltonian reduction via classical Chern--Simons theory, Adv
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Shifted symplectic rigidification
Shifted symplectic structures are built on rigidified moduli spaces of sheaves on Calabi-Yau varieties of dimension two or higher, with a proof that B G_m actions are Hamiltonian and a new rigidification functor as left adjoint.