A note on commutative algebras and their modules in quasicategories

TL;DR

This paper introduces a new framework for understanding modules over commutative algebras within the context of $ig$-categories, using a specially designed $ig$-operad.

Contribution

It defines a novel $ig$-operad that parametrizes modules over commutative algebras in $ig$-categories, providing a new tool for higher category theory.

Findings

Provides a new $ig$-operad for modules over commutative algebras

Facilitates the study of modules in $ig$-categories

Enhances the theoretical framework of $ig$-category modules

Abstract

We define a convenient $\infty$-operad parametrizing modules over commutative algebras in $\infty$-categories.