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

11 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

Funding

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.

Keywords

Connections
Cyclic homology
Hochschild homology
Homotopy algebras

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

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.",

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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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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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SP - 139

EP - 158

BT - Progress in Mathematics

PB - Springer Basel

ER -

Noncommutative calculus and the gauss–manin connection

Abstract

Publication series

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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