Cobordism independence of Grassmann manifolds

Mathematics – Algebraic Topology

Scientific paper

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6 pages, no figures, no tables

Scientific paper

This note proves that, for $F = \Bbb{R,C}$ or $\Bbb{H}$, the bordism classes
of all non-bounding Grassmannian manifolds $G_k(F^{n+k})$, with $k < n$ and
having real dimension $d$, constitute a linearly independent set in the
unoriented bordism group ${\frak{N}}_d$ regarded as a ${\Bbb{Z}}_2$-vector
space.

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