131 citations · 651 across the 67 of their papers we have counts for
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An explicit two step quantization of Poisson structures and Lie bialgebras
Sergei Merkulov, Thomas Willwacher
We develop a new approach to deformation quantizations of Lie bialgebras and Poisson structures which goes in two steps. In the first step one associates to any Poisson (resp. Lie…
Classification of universal formality maps for quantizations of Lie bialgebras
Sergei Merkulov, Thomas Willwacher
We settle several questions about the theory of universal deformation quantization of Lie bialgebras by giving their complete classification up to homotopy equivalence. An importan…
A model for configuration spaces of points
Ricardo Campos, Thomas Willwacher
We construct a real combinatorial model for the configuration spaces of points of compact smooth oriented manifolds without boundary. We use these models to show that the real homo…
Commutative hairy graphs and representations of
Victor Turchin, Thomas Willwacher
We express the hairy graph complexes computing the rational homotopy groups of long embeddings (modulo immersion) of R^m in R^n as "decorated" graph complexes associated to certain…