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L-infinity maps and twistings - MaRDI portal

L-infinity maps and twistings (Q645495)

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L-infinity maps and twistings
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    L-infinity maps and twistings (English)
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    15 November 2011
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    The authors provide a construction of an \(L_\infty\)-map from a \(L_\infty\)-algebra to its truncated Chevalley-Eilenberg complex as well as its cyclic and \(A_\infty\) analogues, study relation to the graph homology and establish a connection to the Fiorenza-Manetti construction. The authors apply the results to deformation theory.
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    differential graded Lie algebra
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    Maurer-Cartan element
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    A-infinity algebra
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    graph homology
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    Morita equivalence
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    truncated Chevalley-Eilenberg complex
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    Fiorenza-Manetti construction
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    deformation theory
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