Noncommutative calculus and the gauss–manin connection

V. A. Dolgushev, Dmitry E Tamarkin, Boris L Tsygan*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages139-158
Number of pages20
DOIs
StatePublished - Jan 1 2011

Publication series

NameProgress in Mathematics
Volume287
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Fingerprint

Operad
Differential Calculus
Calculus

Keywords

  • Connections
  • Cyclic homology
  • Hochschild homology
  • Homotopy algebras

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Dolgushev, V. A., Tamarkin, D. E., & Tsygan, B. L. (2011). Noncommutative calculus and the gauss–manin connection. In Progress in Mathematics (pp. 139-158). (Progress in Mathematics; Vol. 287). Springer Basel. https://doi.org/10.1007/978-0-8176-4735-3_7
Dolgushev, V. A. ; Tamarkin, Dmitry E ; Tsygan, Boris L. / Noncommutative calculus and the gauss–manin connection. Progress in Mathematics. Springer Basel, 2011. pp. 139-158 (Progress in Mathematics).
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Dolgushev, VA, Tamarkin, DE & Tsygan, BL 2011, Noncommutative calculus and the gauss–manin connection. in Progress in Mathematics. Progress in Mathematics, vol. 287, Springer Basel, pp. 139-158. https://doi.org/10.1007/978-0-8176-4735-3_7

Noncommutative calculus and the gauss–manin connection. / Dolgushev, V. A.; Tamarkin, Dmitry E; Tsygan, Boris L.

Progress in Mathematics. Springer Basel, 2011. p. 139-158 (Progress in Mathematics; Vol. 287).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Dolgushev VA, Tamarkin DE, Tsygan BL. Noncommutative calculus and the gauss–manin connection. In Progress in Mathematics. Springer Basel. 2011. p. 139-158. (Progress in Mathematics). https://doi.org/10.1007/978-0-8176-4735-3_7