Geodesic
$K$-theory of real Grassmann manifolds
Homology, homotopy, and applications, Tome 25 (2023) no. 2, pp. 383-402.

Voir la notice de l'article provenant de la source International Press of Boston

Let $G_{n,k}$ denote the real Grassmann manifold of $k$-dimensional vector subspaces of $\mathbb{R}^n$. We compute the complex $K$-ring of $G_{n,k}\:$, up to a small indeterminacy, for all values of $n,k$ where $2 \leqslant k \leqslant n - 2$. When $n \equiv 0 (\operatorname{mod} 4), k \equiv 1 (\operatorname{mod} 2)$, we use the Hodgkin spectral sequence to determine the $K$-ring completely.
DOI : 10.4310/HHA.2023.v25.n2.a17
Classification : 19L99, 55N15
Keywords: real Grassmann manifold, $K$-theory, Hodgkin spectral sequence 
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     title = {$K$-theory of real {Grassmann} manifolds},
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Sudeep Podder; Parameswaran Sankaran. $K$-theory of real Grassmann manifolds. Homology, homotopy, and applications, Tome 25 (2023) no. 2, pp. 383-402. doi : 10.4310/HHA.2023.v25.n2.a17. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2023.v25.n2.a17/

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