Auslander-Reiten triangles and quivers over topological spaces

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dc.creatorJorgensen, Peter
dc.date2003-04-06
dc.date.accessioned2026-07-07T04:56:39Z
dc.date.available2026-07-07T04:56:39Z
dc.descriptionIn this paper, Auslander-Reiten triangles are introduced into algebraic topology, and it is proved that their existence characterizes Poincare duality spaces. Invariants in the form of quivers are also introduced, and Auslander-Reiten triangles and quivers over spheres are computed. The quiver over the d-dimensional sphere turns out to consist of d-1 components, each isomorphic to ZA_{\infty}. So quivers are sufficiently sensitive invariants to tell spheres of different dimension apart.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0304079
dc.identifierhttp://arxiv.org/abs/math/0304079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67001
dc.subjectAlgebraic Topology
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject55P62; 16E45; 16G70
dc.titleAuslander-Reiten triangles and quivers over topological spaces
dc.typetext

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