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arxiv: 0704.0824 · v3 · pith:BQ2DART5new · submitted 2007-04-06 · 🧮 math.QA

On the (3,N) Maurer-Cartan equation

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keywords equationalgebrasdifferentialgradedmaurer-cartanalgebroidsappearingcoefficients
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Deformations of the 3-differential of 3-differential graded algebras are controlled by the (3,N) Maurer-Cartan equation. We find explicit formulae for the coefficients appearing in that equation, introduce new geometric examples of N-differential graded algebras, and use these results to study N Lie algebroids.

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