417 citations · 2.1k across the 83 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.
q-deformed KZB heat equation: completeness, modular properties and SL(3,Z)
Giovanni Felder, Alexander Varchenko
We study the properties of one-dimensional hypergeometric integral solutions of the q-difference ("quantum") analogue of the Knizhnik-Zamolodchikov-Bernard equations on tori. We sh…
Action of Coxeter groups on m-harmonic polynomials and KZ equations
Giovanni Felder, Alexander P. Veselov
The Matsuo-Cherednik correspondence is an isomorphism from solutions of Knizhnik-Zamolodchikov equations to eigenfunctions of generalized Calogero-Moser systems associated to Coxet…
Elliptic Selberg integrals
Giovanni Felder, Laura Stevens, Alexander Varchenko
We present an elliptic version of Selberg's integral formula.
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…