417 citations · 2.1k across the 83 of their papers we have counts for
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Formal symplectic groupoid
Alberto S. Cattaneo, Benoit Dherin, Giovanni Felder
The multiplicative structure of the trivial symplectic groupoid over associated to the zero Poisson structure can be expressed in terms of a generating function. We a…
Hochschild cohomology of the Weyl algebra and traces in deformation quantization
Boris Feigin, Giovanni Felder, Boris Shoikhet
We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual.It is given by an integral over the configuration space of or…
Coxeter group actions on the complement of hyperplanes and special involutions
Giovanni Felder, Alexander P. Veselov
We consider both standard and twisted action of a (real) Coxeter group G on the complement M_G to the complexified reflection hyperplanes by combining the reflections with complex…
Hypergeometric theta functions and elliptic Macdonald polynomials
Giovanni Felder, Alexander Varchenko
Elliptic Macdonald polynomials of sl(2)-type and level 2 are introduced. Suitable limits of elliptic Macdonald polynomials are the standard Macdonald polynomials and conformal bloc…
Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
Alberto S. Cattaneo, Giovanni Felder
General boundary conditions ("branes") for the Poisson sigma model are studied. They turn out to be labeled by coisotropic submanifolds of the given Poisson manifold. The role play…