Presentations of algebras in chain complexes

TL;DR

This paper explores various ways to present the infinity category of algebras over a monad within the context of chain complexes, aiming to clarify their structure and relationships.

Contribution

It provides new presentations of the infinity category of algebras over monads in chain complexes, enhancing understanding of their categorical structure.

Findings

Multiple presentations of the infinity category of algebras are described.

The relationships between different presentations are analyzed.

The results facilitate better comprehension of algebraic structures in chain complexes.

Abstract

The goal of this article is to describe several presentations of the infinity category of algebras over some monad on the infinity category of chain complexes.