A-infinity structure on Ext-algebras

2006/06/06 by D.-M. Lu, John H. Palmieri, Lu, D. -M. +5 · 2 citations
Mathematics · #16E45 #16W50 #18G15 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.math/0606144

openalex publication_date 2006/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a connected graded algebra and let E denote its Ext-algebra. There is a natural A-infinity algebra structure on E, and we prove that this structure is mainly determined by the relations of A. In particular, the coefficients of the A-infinity products m_n restricted to the tensor powers of Ext¹ give the coefficients of the relations of A. We also relate the m_n's to Massey products.

Cited by

• Differential graded algebras with divided powers and homotopy Lie algebras
• The Hom-Ext quiver and applications to exceptional collections

Related

• Infinity Algebras, Massey Products, and Deformations
• A-infinity structures and Massey products
• A-infinity structures related to bi-Koszul algebras
• A-infinity Algebras Derived from Associative Algebras with a Non-Derivation Differential
• Ext-algebras of graded skew extensions