417 citations · 2.1k across the 83 of their papers we have counts for
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From local to global deformation quantization of Poisson manifolds
Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini
We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifolds, based on Kontsevich's local formula. The deformed algebra of func…
On a Vanishing Theorem of Kontsevich
Alberto S. Cattaneo, Giovanni Felder
This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2
Poisson sigma models and symplectic groupoids
Alberto S. Cattaneo, Giovanni Felder
We consider the Poisson sigma model associated to a Poisson manifold. The perturbative quantization of this model yields the Kontsevich star product formula. We study here the clas…
Deformation quantization with traces
Giovanni Felder, Boris Shoikhet
In the present paper we prove a statement closely related to the cyclic formality conjecture. In particular, we prove that for a divergence-free Poisson bivector field on R^d, the…
Solutions of the KZB equations in genus \geq 1
B. Enriquez, G. Felder
We introduce a flat version of the KZB connection. This connection is defined on the complement of the locus of Weierstrass points on the moduli space of genus complex curves w…