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Cobordism independence of Grassmann manifolds

Ashish Kumar Das
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Abstract

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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Ashish Kumar Das. 2004-03-06. Cobordism independence of Grassmann manifolds. https://arxiv.org/abs/math/0403114

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