Associahedra, cellular W-construction and products of A∞- algebras

Martin Markl; Steve Shnidbr

doi:10.1090/S0002-9947-05-04006-7

Associahedra, cellular W-construction and products of A_∞- algebras

Martin Markl
, Steve Shnidbr

Department of Mathematics

Czech Academy of Sciences

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

28 Scopus citations

Abstract

The aim of this paper is to construct a functorial tensor product of A _∞-algebras or, equivalently, an explicit diagonal for the operad of cellular chains, over the integers, of the Stasheff associahedron. These constructions in fact already appeared (Saneblidze and Umble, 2000 and 2002); we will try to give a more conceptual presentation. We also prove that there does not exist a coassociative diagonal.

Original language	English
Pages (from-to)	2353-2372
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	358
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-05-04006-7
State	Published - Jun 2006

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Associahedra, cellular W-construction and products of A_∞- algebras

Abstract

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