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arXiv · 2109.12233

Higher semiadditive Grothendieck-Witt theory and the $K(1)$-local sphere

Shachar Carmeli·Allen Yuan
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Abstract

We develop a higher semiadditive version of Grothendieck-Witt theory. We then apply the theory in the case of a finite field to study the higher semiadditive structure of the $K(1)$-local sphere at the prime $2$. As a further application, we compute and clarify certain power operations in the homotopy of the $K(1)$-local sphere.

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Shachar Carmeli, Allen Yuan. 2021-09-24. Higher semiadditive Grothendieck-Witt theory and the $K(1)$-local sphere. https://arxiv.org/abs/2109.12233

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