131 citations · 651 across the 67 of their papers we have counts for
6 papers · 1 filter
Triviality of the higher Formality Theorem
Damien Calaque, Thomas Willwacher
It is noted that the higher version of M. Kontsevich's Formality Theorem is much easier than the original one. Namely, we prove that the higher Hochschild-Kostant-Rosenberg map is…
The obstruction to the existence of a loopless star product
Thomas Willwacher
We show that there is an obstruction to the existence of a star product defined by Kontsevich graphs without directed cycles.
The oriented graph complexes
Thomas Willwacher
Oriented graph complexes, in which graphs are not allowed to have oriented cycles, govern for example the quantization of Lie bialgebras and infinite dimensional deformation quanti…
The Grothendieck-Teichmüller group action on differential forms and formality morphism of chains
Thomas Willwacher
It is known that one can associate a Kontsevich-type formality morphism to every Drinfeld associator. We show that this morphism may be extended to a Kontsevich-Shoikhet formality…
The deformation complex is a homotopy invariant of a homotopy algebra
Vasily Dolgushev, Thomas Willwacher
To a homotopy algebra one may associate its deformation complex, which is naturally a differential graded Lie algebra. We show that infinity quasi-isomorphic homotopy algebras have…
Jointly orthogonal polynomials
Giovanni Felder, Thomas Willwacher
The theory of polynomials orthogonal with respect to one inner product is classical. We discuss the extension of this theory to multiple inner products. Examples include the Lamé a…