Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere
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Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere. / Carmeli, Shachar; Yuan, Allen.
In: Communications of the American Mathematical Society, Vol. 3, No. 2, 2023, p. 65-111.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Higher semiadditive Grothendieck-Witt theory and the 퐾(1)-local sphere
AU - Carmeli, Shachar
AU - Yuan, Allen
PY - 2023
Y1 - 2023
N2 - 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 .
AB - 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 .
U2 - 10.1090/cams/17
DO - 10.1090/cams/17
M3 - Journal article
VL - 3
SP - 65
EP - 111
JO - Communications of the American Mathematical Society
JF - Communications of the American Mathematical Society
SN - 2692-3688
IS - 2
ER -
ID: 382506067