arXiv math/04031142004-03-06math.AT

Cobordism independence of Grassmann manifolds

Ashish Kumar Das

备注：: 6 pages, no figures, no tables
发表信息：: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 33-38

英文摘要：

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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