4 papers
math.QA2021
Stable cohomology of graph complexes
Matteo Felder, Florian Naef, Thomas Willwacher
We study three graph complexes related to the higher genus Grothendieck-Teichmüller Lie algebra and diffeomorphism groups of manifolds. We show how the cohomology of these graph co…
math.QA2021
Graph Complexes and higher genus Grothendieck-Teichmüller Lie algebras
Matteo Felder
We give a presentation in terms of generators and relations of the cohomology in degree zero of the Campos-Willwacher graph complexes associated to compact orientable surfaces of g…
math.QA2017
On a homotopy version of the Duflo isomorphism
Matteo Felder
For a finite dimensional Lie algebra , the Duflo map defines an isomorphism of -modules. On -inva…
math.QA2017
Filtrations on graph complexes and the Grothendieck-Teichmüller Lie algebra in depth two
Matteo Felder
We establish an isomorphism between the Grothendieck-Teichmüller Lie algebra in depth two modulo higher depth and the cohomology of the two-loop part of the grap…