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.Comment: 21 page
We introduce the concept of N -differential graded algebras (N -dga), and study the moduli space of deformations of the differential of an N -dga. We prove that it is controlled by what we call the (M, N )-Maurer-Cartan equation.
We construct geometric examples of N-differential graded algebras such as the algebra of differential forms of depth N on an affine manifold, and N -flat covariant derivatives.
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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