Higher homotopy operations

David Blanc; Martin Markl

doi:10.1007/s00209-003-0494-2

Higher homotopy operations

David Blanc, Martin Markl

Department of Mathematics

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

Abstract

We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operations are defined in terms of the W-construction of Boardman and Vogt, applied to the appropriate diagram category; we also show how some classical families of polyhedra (including simplices, cubes, associahedra, and permutahedra) arise in this way.

Original language	English
Pages (from-to)	1-29
Number of pages	29
Journal	Mathematische Zeitschrift
Volume	245
Issue number	1
DOIs	https://doi.org/10.1007/s00209-003-0494-2
State	Published - Sep 2003

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-003-0494-2

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Higher homotopy operations

Abstract

ASJC Scopus subject areas

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