Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere
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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 -local sphere at the prime , in particular realizing the non--adic rational element as a “semiadditive cardinality.” As a further application, we compute and clarify certain power operations in .
Originalsprog | Engelsk |
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Tidsskrift | Communications of the American Mathematical Society |
Vol/bind | 3 |
Udgave nummer | 2 |
Sider (fra-til) | 65-111 |
DOI | |
Status | Udgivet - 2023 |
ID: 382506067