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Moscow Mathematical Journal, 2004, Volume 4, Number 3, Pages 719–727
DOI: https://doi.org/10.17323/1609-4514-2004-4-3-719-727 (Mi mmj170) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Hamiltonian reduction and Maurer–Cartan equations

W. Gana, V. A. Ginzburgb

a Department of Mathematics, Massachusetts Institute of Technology
b University of Chicago
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DOI: https://doi.org/10.17323/1609-4514-2004-4-3-719-727
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.
Key words and phrases: Maurer–Cartan equations, Hamiltonian reduction, $L_\infty$-algebras.
Received: May 7, 2003
Bibliographic databases:
MSC: 53D12, 14D20
Language: English
Citation: W. Gan, V. A. Ginzburg, “Hamiltonian reduction and Maurer–Cartan equations”, Mosc. Math. J., 4:3 (2004), 719–727
Citation in format AMSBIB
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\by W.~Gan, V.~A.~Ginzburg
\paper Hamiltonian reduction and Maurer--Cartan equations
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 3
\pages 719--727
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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