A-infinity structure on Ext-algebras

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

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A-infinity structure on Ext-algebras

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arxiv math/0606144 v1 pith:O7LL5QHO submitted 2006-06-06 math.KT math.AT

D.-M. Lu , J. H. Palmieri , Q.-S. Wu , J. J. Zhang This is my paper

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keywords a-infinitystructurealgebracoefficientsproductsrelationsconnecteddenote

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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 Ext^1 give the coefficients of the relations of A. We also relate the m_n's to Massey products.

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