Hamiltonian reduction and Maurer-Cartan equations

Details Hamiltonian reduction and Maurer-Cartan equations Hamiltonian reduction and Maurer-Cartan equations

2003-04-20

arxiv.org/abs/math/0304276v3

Mathematics

Algebraic Geometry

9 pp., expanded version: more details and comments added

Scientific paper

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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