A Model for the André-Quillen Cohomology of an $(\infty,1)$-Category

David Blanc; Simona Paoli

doi:10.48550/arXiv.2405.12674

A Model for the André-Quillen Cohomology of an $(\infty,1)$-Category

David Blanc
, Simona Paoli

Mathematical Science

Research output: Working paper › Preprint

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Abstract

We describe a comonad on $n$-track categories, for each $n\geq 0$ yielding an explicit cosimplicial abelian group model for the Andr\'{e}-Quillen cohomology of an $(\infty,1)$-category.

Original language	English
Publisher	ArXiv
DOIs	https://doi.org/10.48550/arXiv.2405.12674
Publication status	Published - 21 May 2024

Keywords

math.AT
55S45, 18G50, 18B40

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10.48550/arXiv.2405.12674Licence: Unspecified

2405.12674v1Submitted manuscript, 602 KBLicence: Unspecified

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title = "A Model for the Andr{\'e}-Quillen Cohomology of an \$(\textbackslash{}infty,1)\$-Category",

abstract = "We describe a comonad on \$n\$-track categories, for each \$n\textbackslash{}geq 0\$ yielding an explicit cosimplicial abelian group model for the Andr\textbackslash{}'\{e\}-Quillen cohomology of an \$(\textbackslash{}infty,1)\$-category.",

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author = "David Blanc and Simona Paoli",

year = "2024",

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T1 - A Model for the André-Quillen Cohomology of an $(\infty,1)$-Category

AU - Blanc, David

AU - Paoli, Simona

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N2 - We describe a comonad on $n$-track categories, for each $n\geq 0$ yielding an explicit cosimplicial abelian group model for the Andr\'{e}-Quillen cohomology of an $(\infty,1)$-category.

AB - We describe a comonad on $n$-track categories, for each $n\geq 0$ yielding an explicit cosimplicial abelian group model for the Andr\'{e}-Quillen cohomology of an $(\infty,1)$-category.

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KW - 55S45, 18G50, 18B40

U2 - 10.48550/arXiv.2405.12674

DO - 10.48550/arXiv.2405.12674

M3 - Preprint

BT - A Model for the André-Quillen Cohomology of an $(\infty,1)$-Category

PB - ArXiv

ER -

A Model for the André-Quillen Cohomology of an $(\infty,1)$-Category

Abstract

Keywords

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