A-infinity structure on Ext-algebras

Details A-infinity structure on Ext-algebras A-infinity structure on Ext-algebras

2006-06-06

arxiv.org/abs/math/0606144v1

Mathematics

K-Theory and Homology

22 pages

Scientific paper

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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