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

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

2007-02-05

arxiv.org/abs/math/0702113v3

Mathematics

Algebraic Topology

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

Scientific paper

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.

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