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arXiv · 2204.09441

K-theory of real Grassmann manifolds

Sudeep Podder·Parameswaran Sankaran
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Abstract

Let $G_{n,k}$ denote the real Grassmann manifold of $k$-dimensional vector subspaces of $\mathbb R^n$. Using the Hodgkin spectral sequence, we compute the complex $K$-ring of $G_{n,k}$, up to a small indeterminacy, for all values of $n,k$ where $2\le k\le n-2$. When $n\equiv 0\!\!\mod 4, k\equiv 1\!\!\mod 2$ our result is complete.

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Sudeep Podder, Parameswaran Sankaran. 2022-04-20. K-theory of real Grassmann manifolds. https://arxiv.org/abs/2204.09441

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