A-infinity structure on Ext-algebras
K-Theory and Homology
2007-05-23 v1 Algebraic Topology
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 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.
Cite
@article{arxiv.math/0606144,
title = {A-infinity structure on Ext-algebras},
author = {D. -M. Lu and J. H. Palmieri and Q. -S. Wu and J. J. Zhang},
journal= {arXiv preprint arXiv:math/0606144},
year = {2007}
}
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22 pages