Cobordism Independence of Grassmann Manifolds

Proceedings Mathematical Sciences

Ashish Kumar Das¹ 

[1] Department of Mathematics, North-Eastern Hill University, Permanent Campus, Shillong 0, India$$

关键词: Grassmannians;    bordism;    Stiefel-Whitney class.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This note proves that, for $F=mathbb{R},mathbb{C}$ or $mathbb{H}$, 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 $mathfrak{N}_d$ regarded as a $mathbb{Z}_2$-vector space.

【 授权许可】

Unknown