On the integral cohomology of BSpin(n)
type: Item
instance of: scholarly article
title: On the integral cohomology of BSpin(n)
zbMATH Open document ID: 0617.55007
author: Akira Kono
published in: Journal of Mathematics of Kyoto University
publication date: 1986-01-01T00:00:00Z
review text: This paper proves that all torsion in \(H^*(BSpin(n); {\mathbb{Z}})\) has order 2. The analogous results for BO(n) and BSO(n) are due to Borel and Hirzebruch. The proof in this case is similar to the previous cases, by computing the homology of \(H^*(BSpin(n); {\mathbb{Z}}/2)\) with respect to \(Sq^ 1\). The crucial point needed is Quillen's calculation of the mod 2 cohomology.
Mathematics Subject Classification ID: 55R40
Mathematics Subject Classification ID: 55R35
zbMATH DE Number: 4000988
zbMATH Keywords: cohomology of BSpin(n)
zbMATH Keywords: classifying space of the Spin groups
zbMATH Keywords: torsion
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250520870
OpenAlex ID: W1485356679
DOI: 10.1215/KJM/1250520870
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description: scientific article; zbMATH DE number 4000988