@inbook{9a941186bd4145a4a91d0c170d203e57,

title = "Noncommutative calculus and the gauss–manin connection",

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.",

keywords = "Connections, Cyclic homology, Hochschild homology, Homotopy algebras",

author = "Dolgushev, {V. A.} and Tamarkin, {D. E.} and Tsygan, {B. L.}",

note = "Funding Information: D.T. and B.T. are supported by NSF grants. The work of V.D. is partially supported by a Grant for Support of Scientific Schools (NSh-3036.2008.2). We are grateful to Paul Bressler, Kevin Costello, Ezra Getzler, Maxim Kontsevich, and Yan Soibelman for fruitful discussions. Publisher Copyright: {\textcopyright} Springer Science+Business Media, LLC 2011.",

year = "2011",

doi = "10.1007/978-0-8176-4735-3_7",

language = "English (US)",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "139--158",

booktitle = "Progress in Mathematics",

}