On some formality criteria for DG-Lie algebras

Marco Manetti

On some formality criteria for DG-Lie algebras

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arxiv 1310.3048 v2 pith:R6I4IDYK submitted 2013-10-11 math.QA math.AGmath.AT

Marco Manetti This is my paper · ORCID

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keywords algebracriteriadg-lieformalformalitysomealgebraschevalley-eilenberg

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We give some formality criteria for a differential graded Lie algebra to be formal. For instance, we show that a DG-Lie algebra L is formal if and only if the natural spectral sequence computing the Chevalley-Eilenberg cohomology H(L,L) degenerates at second page.

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Some examples of DG-Lie formality transfer
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A DG-Lie formality-transfer theorem is extended with a new backward direction and applied to universal enveloping algebras and finite quotients of Kodaira-Spencer algebras.

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