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

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The 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.
revised version, 17 pages, to appear in Osaka Journal of Mathematics

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Algebraic Topology, Geometric Topology, 57T20, 55P62 (Primary) 55P35, 57T35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/228080

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702113
 http://arxiv.org/abs/math/0702113

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arXiv