The integral Pontrjagin homology of the based loop space on a flag manifold

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dc.creatorGrbic, Jelena
dc.creatorTerzic, Svjetlana
dc.date2007-02-05
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:24Z
dc.date.available2026-07-07T13:07:24Z
dc.descriptionThe based loop space homology of a special family of homogeneous spaces, flag manifolds of connected compact Lie groups is studied. First, the rational homology of the based loop space on a complete flag manifold is calculated together with its Pontrjagin structure. Second, it is shown that the integral homology of the based loop space on a flag manifold is torsion free. This results in a description of the integral homology. In addition, the integral Pontrjagin structure is determined.
dc.descriptionrevised version, 17 pages, to appear in Osaka Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0702113
dc.identifierhttp://arxiv.org/abs/math/0702113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228080
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject57T20, 55P62 (Primary) 55P35, 57T35 (Secondary)
dc.titleThe integral Pontrjagin homology of the based loop space on a flag manifold
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