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

TL;DR

This paper introduces a new comonad on n-track categories that provides an explicit cosimplicial abelian group model for the Andre9-Quillen cohomology of an b5(b5,1)-category, advancing the understanding of higher category cohomology.

Contribution

It develops a comonad framework on n-track categories to model Andre9-Quillen cohomology explicitly for (b5,1)-categories.

Findings

Provides an explicit cosimplicial abelian group model

Establishes a comonad on n-track categories

Advances computational tools for higher category cohomology

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.