A-infinity structure on Ext-algebras
By D. Lu, J. Palmieri, Q.-S. Wu, J. J. Zhang. 2006
90 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/900d8ba04e65ead00168d0feca17dcc76d1b3ecb
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- The structure of AS-Gorenstein algebras (2011, background): “One of the characterizations of an AS-regular algebra over k was given in [11], namely, a graded algebra A connected over k is AS-regular if and only if the Yoneda Ext-algebra A := ⊕i∈N ExtA(k, k) is graded Frobenius.”