$A_\infty$ structures and Massey products

TL;DR

This paper explores the connection between higher Massey products in cohomology and the induced $A_ abla$ structures on differential graded algebras, using homotopy transfer methods.

Contribution

It establishes a relationship between Massey products and $A_ abla$ structures through homotopy transfer, advancing understanding of algebraic topology.

Findings

Demonstrates how Massey products relate to $A_ abla$ structures

Provides a framework for transferring $A_ abla$ structures via homotopy

Enhances comprehension of algebraic structures in cohomology

Abstract

We study the relationship between the higher Massey products on the cohomology $H$ of a differential graded algebra, and the $A_\infty$ structures induced on $H$ via homotopy transfer techniques.