# $A_\infty$ structures and Massey products

**Authors:** Jos\'e M. Moreno-Fern\'andez

arXiv: 1705.06897 · 2018-01-12

## 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.

## Key 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.

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Source: https://tomesphere.com/paper/1705.06897