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

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Standard

Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere. / Carmeli, Shachar; Yuan, Allen.

I: Communications of the American Mathematical Society, Bind 3, Nr. 2, 2023, s. 65-111.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Carmeli, S & Yuan, A 2023, 'Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere', Communications of the American Mathematical Society, bind 3, nr. 2, s. 65-111. https://doi.org/10.1090/cams/17

APA

Carmeli, S., & Yuan, A. (2023). Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere. Communications of the American Mathematical Society, 3(2), 65-111. https://doi.org/10.1090/cams/17

Vancouver

Carmeli S, Yuan A. Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere. Communications of the American Mathematical Society. 2023;3(2):65-111. https://doi.org/10.1090/cams/17

Author

Carmeli, Shachar ; Yuan, Allen. / Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere. I: Communications of the American Mathematical Society. 2023 ; Bind 3, Nr. 2. s. 65-111.

Bibtex

@article{d164f2b3807f4005b8dcdfd6625188f5,
title = "Higher semiadditive Grothendieck-Witt theory and the 퐾(1)-local sphere",
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 -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 .",
author = "Shachar Carmeli and Allen Yuan",
year = "2023",
doi = "10.1090/cams/17",
language = "English",
volume = "3",
pages = "65--111",
journal = "Communications of the American Mathematical Society",
issn = "2692-3688",
number = "2",

}

RIS

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