417 citations · 2.1k across the 83 of their papers we have counts for
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On L-infinity morphisms of cyclic chains
Alberto S. Cattaneo, Giovanni Felder, Thomas Willwacher
Recently the first two authors constructed an L-infinity morphism using the S^1-equivariant version of the Poisson Sigma Model (PSM). Its role in deformation quantization was not e…
On the (ir)rationality of Kontsevich weights
Giovanni Felder, Thomas Willwacher
We compute the weight of a Kontsevich graph in deformation quantization. Up to rationals, the result is Zeta(3)^2/Pi^6.
Baker-Akhiezer function as iterated residue and Selberg-type integral
Giovanni Felder, Alexander P. Veselov
A simple integral formula as an iterated residue is presented for the Baker-Akhiezer function related to type root system both in the rational and trigonometric cases. We pre…
Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains
Alberto S. Cattaneo, Giovanni Felder
Kontsevich's formality theorem states that the differential graded Lie algebra of multidifferential operators on a manifold M is L-infinity-quasi-isomorphic to its cohomology. The…