Loops on polyhedral products and diagonal arrangements

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dc.creatorDobrinskaya, Natalia
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:31:37Z
dc.date.available2026-07-07T12:31:37Z
dc.descriptionIn this paper we establish a connection between the loop space homology of the generalization of wedge defined by a simplicial complex K (so called polyhedral product) and the homology of certain diagonal arrangements associated with K. We illustrate these results by finding the presentations of those loop homology algebras for certain K generalizing results of Panov-Ray, Papadima-Suciu, Lemaire. Finally, we show that in the case when the functor is applied to suspensions, this homology splitting comes from the stable homotopy splitting of the loop spaces.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/0901.2871
dc.identifierhttp://arxiv.org/abs/0901.2871
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216508
dc.subjectAlgebraic Topology
dc.subjectCommutative Algebra
dc.subject14N20; 18G15; 55P35; 55Q15
dc.titleLoops on polyhedral products and diagonal arrangements
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