Ainfinity structure on Extalgebras
Abstract
Let A be a connected graded algebra and let E denote its Extalgebra. There is a natural Ainfinity algebra structure on E, and we prove that this structure is mainly determined by the relations of A. In particular, the coefficients of the Ainfinity 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:math/0606144
 Bibcode:
 2006math......6144L
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematics  Algebraic Topology;
 16W50;
 16E45;
 18G15
 EPrint:
 22 pages