35 citations · 82 across the 11 of their papers we have counts for
15 papers
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…
On the homotopy type of the spaces of spherical knots in
Victor Turchin, Thomas Willwacher
We study the spaces of embeddings and those of long embeddings , i.e. embeddings of a fixed behavior outside a compact set. More pr…
On the rational homotopy type of embedding spaces of manifolds in
Benoit Fresse, Victor Turchin, Thomas Willwacher
We study the spaces of embeddings of manifolds in a Euclidean space. More precisely we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. As a…
Oriented hairy graphs and moduli spaces of curves
Assar Andersson, Thomas Willwacher, Marko Zivkovic
We discuss a graph complex formed by directed acyclic graphs with external legs. This complex comes in particular with a map to the ribbon graph complex computing the (compactly su…
Mapping Spaces for DG Hopf Cooperads and Homotopy Automorphisms of the Rationalization of -operads
Benoit Fresse, Thomas Willwacher
We define a simplicial enrichment on the category of differential graded Hopf cooperads (the category of dg Hopf cooperads for short). We prove that our simplicial enrichment satis…
String topology and configuration spaces of two points
Florian Naef, Thomas Willwacher
Given a closed manifold . We give an algebraic model for the Chas-Sullivan product and the Goresky-Hingston coproduct. In the simply-connected case, this admits a particularly n…