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A-infinity structure on Ext-algebras

D. -M. Lu, J. H. Palmieri, Q. -S. Wu, J. J. Zhang

math.KTarXiv:math/0606144

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 mn restricted to the tensor powers of Ext1 give the coefficients of the relations of A. We also relate the mn's to Massey products.

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