417 citations · 2.4k across the 99 of their papers we have counts for
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Fedosov connections on jet bundles and deformation quantization
Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini
We review our construction of star-products on Poisson manifolds and discuss some examples. In particular, we work out the relation with Fedosov's original construction in the symp…
On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model
Alberto S. Cattaneo, Giovanni Felder
The globalization of Kontsevich's local formula (resp., the perturbative expansion of the Poisson sigma model) is described in down-to-earth terms.
Poisson sigma models and deformation quantization
Alberto S. Cattaneo, Giovanni Felder
This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open…
On the AKSZ formulation of the Poisson sigma model
Alberto S. Cattaneo, Giovanni Felder
We review and extend the Alexandrov-Kontsevich-Schwarz-Zaboronsky construction of solutions of the Batalin-Vilkovisky classical master equation. In particular, we study the case of…