### 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) |
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Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 139-158 |

Number of pages | 20 |

DOIs | |

State | Published - Jan 1 2011 |

### Publication series

Name | Progress in Mathematics |
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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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## 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