Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Fulltext
Final published version, 360 KB, PDF document
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 .
Original language | English |
---|---|
Journal | Communications of the American Mathematical Society |
Volume | 3 |
Issue number | 2 |
Pages (from-to) | 65-111 |
DOIs | |
Publication status | Published - 2023 |
ID: 382506067