Noncommutative calculus and the Gauss-Manin connection
arXiv:0902.2202
Abstract
After an overview of noncommutative differential calculus, we construct parts of it explicitly and explain why this construction agrees with a fuller version obtained from the theory of operads.
Formula in Proposition 2 corrected and the proof added, together with Lemma 2 (with thanks to Ezra Getzler for pointing out the problem in the original version). Reference to S. Barannikov's work [Bar] added
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