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arXiv · 1709.05623

Torsions of integral homology and cohomology of real Grassmannians

Chen He
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Abstract

According to a result of Ehresmann, the torsions of integral homology of real Grassmannian are all of order $2$. In this note, We compute the $\mathbb{Z}_2$-dimensions of torsions in the integral homology and cohomology of real Grassmannian.

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Chen He. 2017-09-17. Torsions of integral homology and cohomology of real Grassmannians. https://arxiv.org/abs/1709.05623

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