The diagonal of the Stasheff polytope

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dc.creatorLoday, Jean-Louis
dc.date2007-10-02
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:37:31Z
dc.date.available2026-07-07T08:37:31Z
dc.descriptionWe construct an A-infinity structure on the tensor product of two A-infinity algebras by using the simplicial decomposition of the Stasheff polytope. The key point is the construction of an operad AA-infinity based on the simplicial Stasheff polytope. The operad AA-infinity admits a coassociative diagonal and the operad A-infinity is a retract by deformation of it. We compare these constructions with analogous constructions due to Saneblidze-Umble and Markl-Shnider based on the Boardman-Vogt cubical decomposition of the Stasheff polytope.
dc.descriptionComplete modification of the last part, that is the map p':AA-infinity -> A-infinity
dc.identifierhttps://arxiv.org/abs/0710.0572
dc.identifierhttp://arxiv.org/abs/0710.0572
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140423
dc.subjectAlgebraic Topology
dc.subjectQuantum Algebra
dc.subject18D10; 55S99
dc.titleThe diagonal of the Stasheff polytope
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