Noncommutative Calculus and the Gauss–Manin Connection.

To Murray Gerstenhaber on his 80th and to Jim Stasheff on his 70th birthday 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. AMS 2010 Subject Codes: 19D55, 18G55 [ABSTRACT FROM AUTHOR]