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19942023
most citedA path integral approach to the Kontsevich quantization formula

417 citations · 2.1k across the 83 of their papers we have counts for

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math-ph2023

Hypergeometric integrals, hook formulas and Whittaker vectors

G. Felder, A. Smirnov, V. Tarasov +1

We determine the coefficient of proportionality between two multidimensional hypergeometric integrals. One of them is a solution of the dynamical difference equations associated wi…

math-ph2017★ 28 cited

Analyticity of Nekrasov Partition Functions

Giovanni Felder, Martin Müller-Lennert

We prove that the K-theoretic Nekrasov instanton partition functions have a positive radius of convergence in the instanton counting parameter and are holomorphic functions of the…

math-ph2016★ 1 cited

Regularization of divergent integrals

Giovanni Felder, David Kazhdan

We study the Hadamard finite part of divergent integrals of differential forms with singularities on submanifolds. We give formulae for the dependence of the finite part on the cho…

math-ph2014

Gaudin subalgebras and wonderful models

Leonardo Aguirre, Giovanni Felder, Alexander P. Veselov

Gaudin hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We…

math-ph2010★ 9 cited

Zeroes of Wronskians of Hermite polynomials and Young diagrams

G. Felder, A. D. Hemery, A. P. Veselov

For a certain class of partitions, a simple qualitative relation is observed between the shape of the Young diagram and the pattern of zeroes of the Wronskian of the corresponding…

math-ph2008

Baker-Akhiezer function as iterated residue and Selberg-type integral

Giovanni Felder, Alexander P. Veselov

A simple integral formula as an iterated residue is presented for the Baker-Akhiezer function related to type root system both in the rational and trigonometric cases. We pre…

math-ph2008★ 24 cited

Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains

Alberto S. Cattaneo, Giovanni Felder

Kontsevich's formality theorem states that the differential graded Lie algebra of multidifferential operators on a manifold M is L-infinity-quasi-isomorphic to its cohomology. The…

math-ph2005

Conformal Field Theories on the Two-Torus and Quotients of SL2(Z)

Antoine Coste, Giovanni Felder

We present remarkable properties of the groups SL2(Z/NZ) which might be useful in detailed studies of some quotients appearing in Conformal Field Theories.