Orbifolds and stable homotopy groups

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dc.creatorLeida, Johann K.
dc.date2005-05-20
dc.date.accessioned2026-07-07T05:20:05Z
dc.date.available2026-07-07T05:20:05Z
dc.descriptionLie groupoids generalize transformation groups, and so provide a natural language for studying orbifolds and other noncommutative geometries. In this paper, we investigate a connection between orbifolds and equivariant stable homotopy theory using such groupoids. A different sort of twisted sector, along with a classical theorem of tom Dieck, allows for a natural definition of stable orbifold homotopy groups, and motivates defining extended unstable orbifold homotopy groups generalizing previous definitions.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0505431
dc.identifierhttp://arxiv.org/abs/math/0505431
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75253
dc.subjectAlgebraic Topology
dc.subject55P91 (Primary), 22A22 (Secondary)
dc.titleOrbifolds and stable homotopy groups
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