417 citations · 2.1k across the 83 of their papers we have counts for
4 papers · 2 filters
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This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2
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…