Calabi-Yau categories and Poincare duality spaces

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dc.creatorJorgensen, Peter
dc.date2008-01-14
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:31:55Z
dc.date.available2026-07-07T09:31:55Z
dc.descriptionThe singular cochain complex of a topological space is a classical object. It is a Differential Graded algebra which has been studied intensively with a range of methods, not least within rational homotopy theory. More recently, the tools of Auslander-Reiten theory have also been applied to the singular cochain complex. One of the highlights is that by these methods, each Poincare duality space gives rise to a Calabi-Yau category. This paper is a review of the theory.
dc.description33 pages; minor changes. To appear in the ICRA XII volume "Trends in Representation Theory of Algebras and Related Topics"
dc.identifierhttps://arxiv.org/abs/0801.2052
dc.identifierhttp://arxiv.org/abs/0801.2052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158632
dc.subjectRepresentation Theory
dc.subjectAlgebraic Topology
dc.subjectRings and Algebras
dc.subject16E45, 16G70, 55P62
dc.titleCalabi-Yau categories and Poincare duality spaces
dc.typetext

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