1212.1090 (Luca Vitagliano)
Luca Vitagliano
An involutive distribution C on a smooth manifold M is a Lie-algebroid acting on sections of the normal bundle TM/C. It is known that the Chevalley-Eilenberg complex associated to this representation of C possesses the structure X of a strong homotopy Lie-algebroid. It is natural to interpret X as the (derived) Lie algebroid of vector fields on the space P of integral manifolds of C. In this paper, I show that X is embedded in a strong homotopy associative algebra D of (normal) differential operators. It is natural to interpret D as the (derived) associative algebra of differential operators on P. Finally, I speculate about the interpretation of D as the universal enveloping strong homotopy algebra of X.
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http://arxiv.org/abs/1212.1090
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