Corpus ID: 237940472

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

@inproceedings{Carmeli2021HigherSG,
  title={Higher semiadditive Grothendieck-Witt theory and the \$K(1)\$-local sphere},
  author={Shachar Carmeli and Allen Yuan},
  year={2021}
}
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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