Orbifolds and stable homotopy groups

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Lie 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.
16 pages, no figures

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Algebraic Topology, 55P91 (Primary), 22A22 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/75253

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505431
 http://arxiv.org/abs/math/0505431

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arXiv