Hamiltonian reduction and Maurer-Cartan equations
Wee Liang Gan, Victor Ginzburg
Abstract
We show that solving the Maurer-Cartan equations is, essentially, the same thing as performing the Hamiltonian reduction construction. In particular, any differential graded Lie algebra equipped with an even nondegenerate invariant bilinear form gives rise to modular stacks with symplectic structures.
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