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Join products and indices of k-fields over differentiable fiber bundles
2004
Topology and its Applications
We use the intrinsic join product to express the index of a k-field with finite singularities over the total space of a smooth fiber bundle F → E → B as the product of the indices of k-fields with finite singularities given on the fiber F and the base B. We present tables for the join product of generators of π n−1 (V n,k ) for 1 < k 4 where V n,k denotes the real Stiefel manifold of k-frames in R n . The indices of k-fields with finite singularities on a smooth closed manifold M n are
doi:10.1016/j.topol.2003.08.008
fatcat:oe6xlyuai5cptj2pp4lucbaoba