Associahedra, cellular W-construction and products of $A_\infty$-algebras
Algebraic Topology
2016-09-07 v1 Quantum Algebra
Abstract
Our aim is to construct a functorial tensor product of -algebras or, equivalently, an explicit diagonal for the operad of cellular chains, over the integers, of the Stasheff associahedron. These construction were in fact already indicated by R. Umble and S. Saneblidze in [9]; we will try to give a more satisfactory presentation. We also prove that there does not exist an associative tensor product of -algebras.
Keywords
Cite
@article{arxiv.math/0312277,
title = {Associahedra, cellular W-construction and products of $A_\infty$-algebras},
author = {Martin Markl and Steve Shnider},
journal= {arXiv preprint arXiv:math/0312277},
year = {2016}
}
Comments
LaTeX2e, 21 pages