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Notes on algebraic operads, graph complexes, and Willwacher’s construction

Notes on algebraic operads, graph complexes, and Willwacher’s construction

We give a detailed proof of T. Willwacher's theorem arXiv:1009.1654 which links the cohomology of the full graph complex fGC to the cohomology of the deformation complex of the operad GER, governing Gerstenhaber algebras. We also present various prerequisites required for understanding the material of arXiv:1009.1654. In particular, we review …