The loop orbifold of the symmetric product

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dc.creatorLupercio, Ernesto
dc.creatorUribe, Bernardo
dc.creatorXicoténcatl, Miguel A.
dc.date2006-06-22
dc.date.accessioned2026-07-07T07:17:35Z
dc.date.available2026-07-07T07:17:35Z
dc.descriptionBy using the loop orbifold of the symmetric product, we give a formula for the Poincaré polynomial of the free loop space of the Borel construction of the symmetric product. We also show that the Chas-Sullivan product structure in the homology of the free loop space of the Borel construction of the symmetric product induces a ring structure in the homology of the inertia orbifold of the symmetric product. This ring structure is compared to the one in cohomology defined through the usual field theory formalism as in the theory of Chen and Ruan.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0606573
dc.identifierhttp://arxiv.org/abs/math/0606573
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113994
dc.subjectAlgebraic Topology
dc.subject57N15
dc.titleThe loop orbifold of the symmetric product
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