Higher Toda brackets and Massey products

Hans Joachim Baues; David Blanc; Shilpa Gondhali

doi:10.1007/s40062-016-0157-8

Higher Toda brackets and Massey products

Hans Joachim Baues, David Blanc, Shilpa Gondhali

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.

Original language	English
Pages (from-to)	643-677
Number of pages	35
Journal	Journal of Homotopy and Related Structures
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s40062-016-0157-8
State	Published - 1 Dec 2016

Bibliographical note

Funding Information:
We wish to thank the referee for many useful comments, and Stefan Schwede for a helpful pointer on symmetric spectra. The research of the second author was supported by Israel Science Foundation Grant No. 47377, and he also wishes to thank the Max Planck Institute for Mathematics for their hospitality during several visits. The third author was supported by a Vatat fellowship during the period of this research.

Publisher Copyright:
© 2016, Tbilisi Centre for Mathematical Sciences.

Keywords

Chain complex
Enriched category
Higher order cohomology operation
Higher order homotopy operation
Massey product
Monoidal model category
Path object
Toda bracket

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s40062-016-0157-8

Cite this

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KW - Massey product

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KW - Path object

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Higher Toda brackets and Massey products

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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