
arXiv: math/9906027
Let $KO(CP^m)$ be the KO-ring of the complex projective space $CP^m.$ By means of methods of rational D-series, a formula for the J-orders of elements of $KO(CP^m)$ is given. Explicit formulas are given for computing the J-orders of the canonical generators of $KO(CP^m)$ and the J-order of any complex line bundle over $CP^m.$
13 pages, LaTeX2e
19L20, Hopf line bundle, Bott classes, 55Q50;55R50 (primary), K-Theory and Homology (math.KT), complex projective space, 55Q50, 55R50, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Adams operations, Mathematics - Algebraic Topology, J-groups, 55R50 (primary)
19L20, Hopf line bundle, Bott classes, 55Q50;55R50 (primary), K-Theory and Homology (math.KT), complex projective space, 55Q50, 55R50, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Adams operations, Mathematics - Algebraic Topology, J-groups, 55R50 (primary)
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