Vincent Wolff
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View article: The oriented graph complex revisited
The oriented graph complex revisited Open
We prove that the Kontsevich graph complex $GC_d^{2}$ and its oriented version $OGC_{d+1}^2$ are quasi-isomorphic as dg Lie algebras.
View article: Polydifferential Lie bialgebras and graph complexes
Polydifferential Lie bialgebras and graph complexes Open
We study the deformation complex of a canonical morphism $i$ from the properad of (degree shifted) Lie bialgebras $\mathbf{Lieb}_{c,d}$ to its polydifferential version $\mathcal{D}(\mathbf{Lieb}_{c,d})$ and show that it is quasi-isomorphic…
View article: From the Lie operad to the Grothendieck-Teichmüller group
From the Lie operad to the Grothendieck-Teichmüller group Open
We study the deformation complex of the standard morphism from the degree $d$ shifted Lie operad to its polydifferential version, and prove that it is quasi-isomorphic to the Kontsevich graph complex $\mathbf{GC}_d$. In particular, we show…