Noncommutative calculus and the gauss–manin connection

V. A. Dolgushev; D. E. Tamarkin; B. L. Tsygan

doi:10.1007/978-0-8176-4735-3_7

Noncommutative calculus and the gauss–manin connection

V. A. Dolgushev, D. E. Tamarkin, B. L. Tsygan^*

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

10 Scopus citations

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.

Original language	English (US)
Title of host publication	Progress in Mathematics
Publisher	Springer Basel
Pages	139-158
Number of pages	20
DOIs	https://doi.org/10.1007/978-0-8176-4735-3_7
State	Published - 2011

Publication series

Name	Progress in Mathematics
Volume	287
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Keywords

Connections
Cyclic homology
Hochschild homology
Homotopy algebras

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1007/978-0-8176-4735-3_7

Cite this

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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.",

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language = "English (US)",

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T1 - Noncommutative calculus and the gauss–manin connection

AU - Dolgushev, V. A.

AU - Tamarkin, D. E.

AU - Tsygan, B. L.

N1 - 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: © Springer Science+Business Media, LLC 2011.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Connections

KW - Cyclic homology

KW - Hochschild homology

KW - Homotopy algebras

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M3 - Chapter

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SP - 139

EP - 158

BT - Progress in Mathematics

PB - Springer Basel

ER -

Noncommutative calculus and the gauss–manin connection

Abstract

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Keywords

ASJC Scopus subject areas

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