Diagonals on the Permutahedra, Multiplihedra and Associahedra
| dc.creator | Saneblidze, Samson | |
| dc.creator | Umble, Ronald | |
| dc.date | 2002-09-10 | |
| dc.date | 2004-08-21 | |
| dc.date.accessioned | 2026-07-07T04:50:44Z | |
| dc.date.available | 2026-07-07T04:50:44Z | |
| dc.description | We construct an explicit diagonal Δ_P on the permutahedra P. Related diagonals on the multiplihedra J and the associahedra K are induced by Tonks' projection P --> K and its factorization through J. We introduce the notion of a permutahedral set Z and lift Δ_P to a diagonal on Z. We show that the double cobar construction Ω^2(C_*(X)) is a permutahedral set; consequently Δ_P lifts to a diagonal on Ω^2(C_*(X)). Finally, we apply the diagonal on K to define the tensor product of A_\infty-(co)algebras in maximal generality. | |
| dc.description | 45 pages, 13 figures. This (final) version is significantly more detailed than the previous | |
| dc.identifier | https://arxiv.org/abs/math/0209109 | |
| dc.identifier | http://arxiv.org/abs/math/0209109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64898 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35, 55U05 | |
| dc.title | Diagonals on the Permutahedra, Multiplihedra and Associahedra | |
| dc.type | text |