Hamiltonian reduction and Maurer-Cartan equations
Algebraic Geometry
2007-05-23 v3 Quantum Algebra
Symplectic Geometry
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.
Cite
@article{arxiv.math/0304276,
title = {Hamiltonian reduction and Maurer-Cartan equations},
author = {Wee Liang Gan and Victor Ginzburg},
journal= {arXiv preprint arXiv:math/0304276},
year = {2007}
}
Comments
9 pp., expanded version: more details and comments added