Vincent Wolff

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math.QA2024

The oriented graph complex revisited

Sergei Merkulov, Thomas Willwacher, Vincent Wolff

We prove that the Kontsevich graph complex $G C_{d}^{2}$ and its oriented version $O G C_{d + 1}^{2}$ are quasi-isomorphic as dg Lie algebras.

math.QA2024

Polydifferential Lie bialgebras and graph complexes

Vincent Wolff

We study the deformation complex of a canonical morphism $i$ from the properad of (degree shifted) Lie bialgebras $Lieb_{c, d}$ to its polydifferential version $\mathcal{D}…

math.QA2023

From the Lie operad to the Grothendieck-Teichmüller group

Vincent Wolff

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 Konts…