### 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 | |

State | Published - Jan 1 2011 |

### Publication series

Name | Progress in Mathematics |
---|---|

Volume | 287 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

### Fingerprint

### Keywords

- Connections
- Cyclic homology
- Hochschild homology
- Homotopy algebras

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology

### Cite this

*Progress in Mathematics*(pp. 139-158). (Progress in Mathematics; Vol. 287). Springer Basel. https://doi.org/10.1007/978-0-8176-4735-3_7

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*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.

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

TY - CHAP

T1 - Noncommutative calculus and the gauss–manin connection

AU - Dolgushev, V. A.

AU - Tamarkin, Dmitry E

AU - Tsygan, Boris L

PY - 2011/1/1

Y1 - 2011/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=84924811317&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924811317&partnerID=8YFLogxK

U2 - 10.1007/978-0-8176-4735-3_7

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

M3 - Chapter

AN - SCOPUS:84924811317

T3 - Progress in Mathematics

SP - 139

EP - 158

BT - Progress in Mathematics

PB - Springer Basel

ER -