TY - JOUR
T1 - Associahedra, cellular W-construction and products of A∞- algebras
AU - Markl, Martin
AU - Shnidbr, Steve
PY - 2006/6
Y1 - 2006/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33744759541&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-05-04006-7
DO - 10.1090/S0002-9947-05-04006-7
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AN - SCOPUS:33744759541
SN - 0002-9947
VL - 358
SP - 2353
EP - 2372
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 6
ER -