Eight flavors of cyclic homology

Kai Cieliebak; Evgeny Volkov

doi:10.1215/21562261-2021-0008

Abstract

We introduce eight “flavors” of cyclic homology of a mixed complex and study their properties. In particular, we determine their behavior with respect to Chen’s iterated integrals.

Citation

Download Citation

Kai Cieliebak. Evgeny Volkov. "Eight flavors of cyclic homology." Kyoto J. Math. 61 (2) 495 - 541, June 2021. https://doi.org/10.1215/21562261-2021-0008

Information

Received: 12 February 2020; Revised: 31 December 2020; Accepted: 5 January 2021; Published: June 2021

First available in Project Euclid: 7 April 2021

MathSciNet: MR4342383

zbMATH: 1479.55015

Digital Object Identifier: 10.1215/21562261-2021-0008

Subjects:

Primary: 55N91

Secondary: 55N25

Keywords: Chen’s integrals , Cyclic homology , equivariant cohomology

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS