Abstract
We show that the operadic cohomology for any type of algebras over a non-symmetric operad \({\mathcal {A}}\) can be computed as Ext in the category of operadic \({\mathcal {A}}\) -modules. We use this principle to prove that the Gerstenhaber–Schack diagram cohomology is operadic cohomology.
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Communicated by Jim Stasheff.
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Doubek, M. Gerstenhaber–Schack diagram cohomology from the operadic point of view. J. Homotopy Relat. Struct. 7, 165–206 (2012). https://doi.org/10.1007/s40062-012-0002-7
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DOI: https://doi.org/10.1007/s40062-012-0002-7