A-INFINITY STRUCTURE ON EXT-ALGEBRAS

@article{Lu2006AINFINITYSO,
  title={A-INFINITY STRUCTURE ON EXT-ALGEBRAS},
  author={D.-M. Lu and John H. Palmieri and Q.-S. Wu and James Jian-Ping Zhang},
  journal={Journal of Pure and Applied Algebra},
  year={2006},
  volume={213},
  pages={2017-2037}
}
Abstract Let A be a connected graded algebra and let E denote its Ext-algebra ⨁ i Ext A i ( k A , k A ) . There is a natural A ∞ -structure on E , and we prove that this structure is mainly determined by the relations of A . In particular, the coefficients of the A ∞ -products m n restricted to the tensor powers of Ext A 1 ( k A , k A ) give the coefficients of the relations of A . We also relate the m n ’s to Massey products. 
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