The cohomology of the full directed graph complex
Dolgushev, Vasily A. · Rogers, Christopher L.
Original · EN
In his seminal paper "Formality conjecture", M. Kontsevich introduced a graph complex GC1ve closely connected with the problem of constructing a formality quasi-isomorphism for Hochschild cochains. In this paper, we express the cohomology of the full directed graph complex explicitly in terms of the cohomology of GC1ve. Applications of our results include a recent work by the first author which completely characterizes homotopy classes of formality quasi-isomorphisms for Hochschild cochains in the stable setting.
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