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

2405.12674v1

Cite this

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AU - Paoli, Simona

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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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M3 - Preprint

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

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

Abstract

Keywords

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Cite this