Vincent Wolff

activity

20232026

collaborators

4 papers

math.DG2026

Precompactness for homogeneous Einstein metrics on torus bundles

Anusha M. Krishnan, Vincent P. N. Wolff, Masoumeh Zarei

We prove a precompactness result for homogeneous Einstein metrics on the set of homogeneous torus bundles over a common base. This set can contain infinite families of compact simp…

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…