Edit Profile (opens in new tab) Felder, Giovanni Co-Author Distance Author ID: felder.giovanni Published as: Felder, Giovanni; Felder, G. Homepage: http://www2.math.ethz.ch/u/felder External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 105 Publications since 1985 1 Contribution as Editor Co-Authors: 52 Co-Authors with 95 Joint Publications 1,502 Co-Co-Authors all top 5 Co-Authors 10 single-authored 20 Varchenko, Alexander Nikolaevich 13 Cattaneo, Alberto Sergio 10 Veselov, Alexander Petrovich 9 Fröhlich, Jürg Martin 6 Wieczerkowski, Christian 6 Willwacher, Thomas Hans 4 Enriquez, Benjamin 4 Kazhdan, David A. 4 Rossi, Carlo Antonio 3 Berest, Yuri Yu. 3 Fuchs, Jürgen 3 Ramadoss, Ajay C. 3 Schweigert, Christoph 2 Aguirre, Leonardo 2 Calaque, Damien 2 Crivelli, M. 2 Dherin, Benoit 2 Gawȩdzki, Krzysztof 2 Kupiainen, Antti 2 Patotski, Sasha 2 Rimányi, Richárd 2 Shoikhet, Boris B. 2 Silvotti, Roberto 2 Tarasov, Vitaly Olegovich 2 Tomassini, Lorenzo 1 Alzer, Horst 1 Bukhshtaber, Viktor Matveevich 1 Chamseddine, Ali Hani 1 Constantinescu, Florin 1 Elbau, Peter 1 Engeli, Markus 1 Etingof, Pavel Il’ich 1 Feĭgin, Boris L’vovich 1 Ferrario, Andrea 1 Gallavotti, Giovanni M. 1 Graf, Gian Michele 1 Grandjean, Olivier 1 Hemery, Adrian D. 1 Henriques, André G. 1 Hepp, Klaus 1 LeClair, André 1 Ma, Xiaoguang 1 Müller-Lennert, Martin 1 Pasquier, Vincent 1 Polishchuk, Alexander Evgen’evich 1 Rembado, Gabriele 1 Ren, Muze 1 Riser, Roman 1 Schlank, Tomer M. 1 Schorr, Anke 1 Tang, Xiang 1 Zhang, Huafeng 1 Zhu, Chenchang all top 5 Serials 22 Communications in Mathematical Physics 8 Letters in Mathematical Physics 7 IMRN. International Mathematics Research Notices 6 Selecta Mathematica. New Series 5 Compositio Mathematica 4 Advances in Mathematics 4 Duke Mathematical Journal 2 Journal of Statistical Physics 2 Nuclear Physics. B 2 Journal of Geometry and Physics 2 Journal of Algebra 2 Journal of Physics A: Mathematical and General 2 Journal of the European Mathematical Society (JEMS) 2 Moscow Mathematical Journal 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 International Journal of Modern Physics A 1 Journal of Mathematical Analysis and Applications 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Physica D 1 International Journal of Mathematics 1 Nuclear Physics. B. Proceedings Supplements 1 Mathematical Research Letters 1 Mathematical Physics, Analysis and Geometry 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Physical Review Letters all top 5 Fields 59 Quantum theory (81-XX) 44 Nonassociative rings and algebras (17-XX) 23 Differential geometry (53-XX) 18 Algebraic geometry (14-XX) 16 Special functions (33-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Associative rings and algebras (16-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Statistical mechanics, structure of matter (82-XX) 8 Partial differential equations (35-XX) 6 Group theory and generalizations (20-XX) 6 Difference and functional equations (39-XX) 6 Manifolds and cell complexes (57-XX) 5 Number theory (11-XX) 5 Category theory; homological algebra (18-XX) 4 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 1,750 times in 1,290 Documents Cited by ▼ Year ▼ A path integral approach to the Kontsevich quantization formula. Zbl 1038.53088Cattaneo, Alberto S.; Felder, Giovanni 171 2000 Relative formality theorem and quantisation of coisotropic submanifolds. Zbl 1106.53060Cattaneo, Alberto S.; Felder, Giovanni 76 2007 On the AKSZ formulation of the Poisson sigma model. Zbl 1058.81034Cattaneo, Alberto S.; Felder, Giovanni 68 2001 Gravity in non-commutative geometry. Zbl 0818.58008Chamseddine, A. H.; Felder, G.; Fröhlich, J. 65 1993 Poisson sigma models and symplectic groupoids. Zbl 1038.53074Cattaneo, Alberto S.; Felder, Giovanni 63 2001 Conformal field theory and integrable systems associated to elliptic curves. Zbl 0852.17014Felder, Giovanni 63 1995 Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra. Zbl 0703.17013Bernard, D.; Felder, G. 60 1990 The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\). Zbl 1038.11029Felder, Giovanni; Varchenko, Alexander 59 2000 The geometry of WZW branes. Zbl 1002.81042Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 55 2000 Spectra of Wess-Zumino-Witten models with arbitrary simple groups. Zbl 0642.22005Felder, G.; Gawȩdzki, K.; Kupiainen, A. 49 1988 Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model. Zbl 1065.53063Cattaneo, Alberto S.; Felder, Giovanni 48 2004 From local to global deformation quantization of Poisson manifolds. Zbl 1037.53063Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo 47 2002 Elliptic quantum groups. Zbl 0998.17015Felder, Giovanni 46 1995 Braid matrices and structure constants for minimal conformal models. Zbl 0696.17009Felder, G.; Fröhlich, J.; Keller, G. 39 1989 Differential equations compatible with KZ equations. Zbl 0984.35134Felder, G.; Markov, Y.; Tarasov, V.; Varchenko, A. 39 2000 On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\). Zbl 0870.17012Felder, Giovanni; Varchenko, Alexander 34 1996 Deformation quantization with traces. Zbl 0983.53065Felder, Giovanni; Shoikhet, Boris 31 2000 Zeros of Wronskians of Hermite polynomials and Young diagrams. Zbl 1258.33005Felder, G.; Hemery, A. D.; Veselov, A. P. 29 2012 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 29 2002 Hochschild cohomology of the Weyl algebra and traces in deformation quantization. Zbl 1106.53055Feigin, Boris; Felder, Giovanni; Shoikhet, Boris 29 2005 Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\)). Zbl 0925.17020Felder, Giovanni; Varchenko, Alexander 29 1996 Density of eigenvalues of random normal matrices. Zbl 1129.82017Elbau, Peter; Felder, Giovanni 28 2005 Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128Buchstaber, V. M.; Felder, G.; Veselov, A. P. 27 1994 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 24 2000 Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations. Zbl 0840.17020Felder, Giovanni; Varchenko, Alexander 22 1995 Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations. Zbl 0972.32012Felder, Giovanni; Wieczerkowski, Christian 20 1996 Formal symplectic groupoid. Zbl 1072.58008Cattaneo, Alberto S.; Dherin, Benoit; Felder, Giovanni 18 2005 On the globalization of Kontsevich’s star product and the perturbative Poisson sigma model. Zbl 1012.81030Cattaneo, Alberto S.; Felder, Giovanni 17 2001 Topological representations of the quantum group \(U_ q(sl_ 2)\). Zbl 0722.55005Felder, G.; Wieczerkowski, C. 16 1991 A Turán-type inequality for the gamma function. Zbl 1198.33001Alzer, Horst; Felder, Giovanni 16 2009 Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras. Zbl 0959.17013Enriquez, B.; Felder, G. 16 1998 Renormalization group in the local potential approximation. Zbl 0632.35068Felder, Giovanni 15 1987 Intersection properties of simple random walks: A renormalization group approach. Zbl 0573.60065Felder, G.; Fröhlich, J. 15 1985 Modular covariance of minimal model correlation functions. Zbl 0693.30037Felder, G.; Silvotti, R. 14 1989 Gaudin subalgebras and stable rational curves. Zbl 1228.14025Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P. 14 2011 Analyticity of Nekrasov partition functions. Zbl 1400.81138Felder, Giovanni; Müller-Lennert, Martin 14 2018 Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation. Zbl 0811.35105Felder, Giovanni; Veselov, Alexander P. 14 1994 Elliptic quantum groups and Ruijsenaars models. Zbl 0924.17011Felder, Giovanni; Varchenko, Alexander 14 1997 Analyticity of density of states in a gauge-invariant model for disordered electronic systems. Zbl 1084.82549Constantinescu, F.; Felder, G.; Gawȩdzki, K.; Kupiainen, A. 13 1987 On the structure of unitary conformal field theory. I: Existence of conformal blocks. Zbl 0683.46053Felder, G.; Fröhlich, J.; Keller, G. 13 1989 On elliptic Calogero-Moser systems for complex crystallographic reflection groups. Zbl 1243.14036Etingof, Pavel; Felder, Giovanni; Ma, Xiaoguang; Veselov, Alexander 13 2011 On the structure of unitary conformal field theory. II: Representation theoretic approach. Zbl 0704.46051Felder, G.; Fröhlich, J.; Keller, G. 12 1990 Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains. Zbl 1217.53083Cattaneo, Alberto S.; Felder, Giovanni 12 2011 Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations. Zbl 1038.32500Felder, G.; Tarasov, V.; Varchenko, A. 12 1999 Three formulae for eigenfunctions of integrable Schrödinger operators. Zbl 0907.17004Felder, Giovanni; Varchenko, Alexander 12 1997 Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism. Zbl 1406.16014Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas 11 2017 Derived representation schemes and noncommutative geometry. Zbl 1333.16014Berest, Yuri; Felder, Giovanni; Ramadoss, Ajay 11 2014 Action of Coxeter groups on \(m\)-harmonic polynomials and Knizhnik-Zamolodchikov equations. Zbl 1056.32013Felder, G.; Veselov, A. P. 10 2003 Holomorphic matrix integrals. Zbl 1109.81355Felder, Giovanni; Riser, Roman 10 2004 Elliptic Selberg integrals and conformal blocks. Zbl 1041.33003Felder, G.; Stevens, L.; Varchenko, A. 10 2003 Bimodules and branes in deformation quantization. Zbl 1264.53082Calaque, Damien; Felder, Giovanni; Ferrario, Andrea; Rossi, Carlo A. 10 2011 A simple construction of elliptic \(R\)-matrices. Zbl 0806.17020Felder, Giovanni; Pasquier, Vincent 9 1994 A Riemann–Roch–Hirzebruch formula for traces of differential operators. Zbl 1163.32009Engeli, Markus; Felder, Giovanni 8 2008 Elliptic dynamical quantum groups and equivariant elliptic cohomology. Zbl 1423.17015Felder, Giovanni; Rimányi, Richárd; Varchenko, Alexander 8 2018 The \(q\)-deformed Knizhnik-Zamolodchikov-Bernard heat equation. Zbl 1057.32006Felder, Giovanni; Varchenko, Alexander 7 2001 \(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\). Zbl 1057.32007Felder, Giovanni; Varchenko, Alexander 7 2002 Deformation quantization with generators and relations. Zbl 1235.53095Calaque, Damien; Felder, Giovanni; Rossi, Carlo A. 7 2011 Separation of variables for quantum integrable systems on elliptic curves. Zbl 1038.37512Felder, Giovanni; Schorr, Anke 6 1999 Hypergeometric theta functions and elliptic Macdonald polynomials. Zbl 1073.33013Felder, Giovanni; Varchenko, Alexander 6 2004 The classical master equation (with an appendix by Tomer M. Schlank). Zbl 1304.81144Felder, Giovanni; Kazhdan, David 6 2014 Perturbation theory and nonrenormalizable scalar fields. Zbl 0595.58048Felder, Giovanni; Gallavotti, Giovanni 5 1985 Multiplication formulae for the elliptic gamma function. Zbl 1195.33233Felder, Giovanni; Varchenko, Alexander 5 2005 The character map in deformation quantization. Zbl 1227.53087Cattaneo, Alberto S.; Felder, Giovanni; Willwacher, Thomas 5 2011 Generalized hypergeometric functions on the torus and the adjoint representation of \(U_ q(sl_ 2)\). Zbl 0777.17007Crivelli, M.; Felder, G.; Wieczerkowski, C. 5 1993 On combinatorial three-manifold invariants. Zbl 0928.57016Felder, G.; Grandjean, O. 4 1993 Coxeter group actions on the complement of hyperplanes and special involutions. Zbl 1070.20045Felder, G.; Veselov, A. P. 4 2005 Special functions, conformal blocks, Bethe ansatz and SL\((3,\mathbb Z)\). Zbl 0996.33014Felder, G.; Varchenko, A. 4 2001 On the (ir)rationality of Kontsevich weights. Zbl 1187.53087Felder, Giovanni; Willwacher, Thomas 4 2010 Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality. Zbl 1130.35024Felder, Giovanni; Veselov, Alexander P. 4 2007 A gerbe for the elliptic gamma function. Zbl 1130.33010Felder, Giovanni; Henriques, André; Rossi, Carlo A.; Zhu, Chenchang 4 2008 Poincaré-Birkhoff-Witt expansions of the canonical elliptic differential form. Zbl 1132.33322Felder, G.; Rimányi, R.; Varchenko, A. 4 2007 Baxter operators and asymptotic representations. Zbl 1407.17017Felder, Giovanni; Zhang, Huafeng 4 2017 Chern-Simons forms and higher character maps of Lie representations. Zbl 1405.17013Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas 4 2017 A construction of Hopf algebra cocycles for the Yangian double \(DY({\mathfrak sl}_2)\). Zbl 0920.17006Enriquez, B.; Felder, G. 4 1998 Regularization of divergent integrals. Zbl 1390.58007Felder, Giovanni; Kazhdan, David 3 2018 Resonance relations for solutions of the elliptic QKZB equations, fusion rules, and eigenvectors of transfer matrices of restricted interaction-round-a-face models. Zbl 1024.81038Felder, G.; Varchenko, A. 3 1999 Conformal blocks of minimal models on a Riemann surface. Zbl 0746.57003Felder, G.; Silvotti, R. 3 1992 Regularity of the superstring supermeasure and the superperiod map. Zbl 1484.32012Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 3 2022 Restricted quantum affine symmetry of perturbed minimal conformal models. Zbl 0925.35140Felder, G.; Leclair, A. 3 1992 Even powers of divisors and elliptic zeta values. Zbl 1117.11046Felder, Giovanni; Varchenko, Alexander 2 2005 Fedosov connections on jet bundles and deformation quantization. Zbl 1014.53057Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo 2 2002 Baker-Akhiezer function as iterated residue and Selberg-type integral. Zbl 1163.33327Felder, Giovanni; Veselov, Alexander P. 2 2009 Formal Lagrangian operad. Zbl 1214.53062Cattaneo, Alberto S.; Dherin, Benoit; Felder, Giovanni 2 2010 Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings. Zbl 1405.32006Felder, Giovanni; Kazhdan, David 2 2017 Topological representations of \(U_ q(\text{sl}_ 2(\mathbb{C}))\) on the torus and the mapping class group. Zbl 0828.57010Crivelli, M.; Felder, G.; Wieczerkowski, C. 2 1994 The Knizhnik-Zamolodchikov-Bernard equation on the torus. Zbl 0822.17035Felder, G.; Wieczerkowski, C. 2 1994 Gaudin subalgebras and wonderful models. Zbl 1345.81054Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P. 2 2016 Jointly orthogonal polynomials. Zbl 1323.33013Felder, Giovanni; Willwacher, Thomas 2 2015 Coinvariants for Yangian doubles and quantum Knizhnik-Zamolodchikov equations. Zbl 0924.17008Enriquez, B.; Felder, G. 2 1999 Minimal models on a Riemann surface. Zbl 0745.32011Felder, G. 2 1990 Poncelet property and quasi-periodicity of the integrable Boltzmann system. Zbl 1475.37062Felder, Giovanni 1 2021 Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator. Zbl 1074.33014Felder, G.; Stevens, L.; Varchenko, A. 1 2003 Equivariant Lefschetz number of differential operators. Zbl 1205.32020Felder, Giovanni; Tang, Xiang 1 2010 Differential operators on toric varieties and Fourier transform. Zbl 1200.16034Felder, Giovanni; Rossi, Carlo A. 1 2007 The work of Andrei Okounkov. Zbl 1151.01013Felder, Giovanni 1 2007 The KZB equations on Riemann surfaces. Zbl 0943.32011Felder, Giovanni 1 1998 Remarks on the structure constants of the Verlinde algebra associated to \(sl_ 3\). Zbl 0843.17025Felder, G.; Varchenko, A. 1 1996 Regularity of the superstring supermeasure and the superperiod map. Zbl 1484.32012Felder, Giovanni; Kazhdan, David; Polishchuk, Alexander 3 2022 Poncelet property and quasi-periodicity of the integrable Boltzmann system. Zbl 1475.37062Felder, Giovanni 1 2021 Analyticity of Nekrasov partition functions. Zbl 1400.81138Felder, Giovanni; Müller-Lennert, Martin 14 2018 Elliptic dynamical quantum groups and equivariant elliptic cohomology. Zbl 1423.17015Felder, Giovanni; Rimányi, Richárd; Varchenko, Alexander 8 2018 Regularization of divergent integrals. Zbl 1390.58007Felder, Giovanni; Kazhdan, David 3 2018 Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism. Zbl 1406.16014Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas 11 2017 Baxter operators and asymptotic representations. Zbl 1407.17017Felder, Giovanni; Zhang, Huafeng 4 2017 Chern-Simons forms and higher character maps of Lie representations. Zbl 1405.17013Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas 4 2017 Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings. Zbl 1405.32006Felder, Giovanni; Kazhdan, David 2 2017 Gaudin subalgebras and wonderful models. Zbl 1345.81054Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P. 2 2016 Jointly orthogonal polynomials. Zbl 1323.33013Felder, Giovanni; Willwacher, Thomas 2 2015 Derived representation schemes and noncommutative geometry. Zbl 1333.16014Berest, Yuri; Felder, Giovanni; Ramadoss, Ajay 11 2014 The classical master equation (with an appendix by Tomer M. Schlank). Zbl 1304.81144Felder, Giovanni; Kazhdan, David 6 2014 Zeros of Wronskians of Hermite polynomials and Young diagrams. Zbl 1258.33005Felder, G.; Hemery, A. D.; Veselov, A. P. 29 2012 Gaudin subalgebras and stable rational curves. Zbl 1228.14025Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P. 14 2011 On elliptic Calogero-Moser systems for complex crystallographic reflection groups. Zbl 1243.14036Etingof, Pavel; Felder, Giovanni; Ma, Xiaoguang; Veselov, Alexander 13 2011 Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains. Zbl 1217.53083Cattaneo, Alberto S.; Felder, Giovanni 12 2011 Bimodules and branes in deformation quantization. Zbl 1264.53082Calaque, Damien; Felder, Giovanni; Ferrario, Andrea; Rossi, Carlo A. 10 2011 Deformation quantization with generators and relations. Zbl 1235.53095Calaque, Damien; Felder, Giovanni; Rossi, Carlo A. 7 2011 The character map in deformation quantization. Zbl 1227.53087Cattaneo, Alberto S.; Felder, Giovanni; Willwacher, Thomas 5 2011 On the (ir)rationality of Kontsevich weights. Zbl 1187.53087Felder, Giovanni; Willwacher, Thomas 4 2010 Formal Lagrangian operad. Zbl 1214.53062Cattaneo, Alberto S.; Dherin, Benoit; Felder, Giovanni 2 2010 Equivariant Lefschetz number of differential operators. Zbl 1205.32020Felder, Giovanni; Tang, Xiang 1 2010 A Turán-type inequality for the gamma function. Zbl 1198.33001Alzer, Horst; Felder, Giovanni 16 2009 Baker-Akhiezer function as iterated residue and Selberg-type integral. Zbl 1163.33327Felder, Giovanni; Veselov, Alexander P. 2 2009 A Riemann–Roch–Hirzebruch formula for traces of differential operators. Zbl 1163.32009Engeli, Markus; Felder, Giovanni 8 2008 A gerbe for the elliptic gamma function. Zbl 1130.33010Felder, Giovanni; Henriques, André; Rossi, Carlo A.; Zhu, Chenchang 4 2008 Relative formality theorem and quantisation of coisotropic submanifolds. Zbl 1106.53060Cattaneo, Alberto S.; Felder, Giovanni 76 2007 Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality. Zbl 1130.35024Felder, Giovanni; Veselov, Alexander P. 4 2007 Poincaré-Birkhoff-Witt expansions of the canonical elliptic differential form. Zbl 1132.33322Felder, G.; Rimányi, R.; Varchenko, A. 4 2007 Differential operators on toric varieties and Fourier transform. Zbl 1200.16034Felder, Giovanni; Rossi, Carlo A. 1 2007 The work of Andrei Okounkov. Zbl 1151.01013Felder, Giovanni 1 2007 Hochschild cohomology of the Weyl algebra and traces in deformation quantization. Zbl 1106.53055Feigin, Boris; Felder, Giovanni; Shoikhet, Boris 29 2005 Density of eigenvalues of random normal matrices. Zbl 1129.82017Elbau, Peter; Felder, Giovanni 28 2005 Formal symplectic groupoid. Zbl 1072.58008Cattaneo, Alberto S.; Dherin, Benoit; Felder, Giovanni 18 2005 Multiplication formulae for the elliptic gamma function. Zbl 1195.33233Felder, Giovanni; Varchenko, Alexander 5 2005 Coxeter group actions on the complement of hyperplanes and special involutions. Zbl 1070.20045Felder, G.; Veselov, A. P. 4 2005 Even powers of divisors and elliptic zeta values. Zbl 1117.11046Felder, Giovanni; Varchenko, Alexander 2 2005 Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model. Zbl 1065.53063Cattaneo, Alberto S.; Felder, Giovanni 48 2004 Holomorphic matrix integrals. Zbl 1109.81355Felder, Giovanni; Riser, Roman 10 2004 Hypergeometric theta functions and elliptic Macdonald polynomials. Zbl 1073.33013Felder, Giovanni; Varchenko, Alexander 6 2004 Action of Coxeter groups on \(m\)-harmonic polynomials and Knizhnik-Zamolodchikov equations. Zbl 1056.32013Felder, G.; Veselov, A. P. 10 2003 Elliptic Selberg integrals and conformal blocks. Zbl 1041.33003Felder, G.; Stevens, L.; Varchenko, A. 10 2003 Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator. Zbl 1074.33014Felder, G.; Stevens, L.; Varchenko, A. 1 2003 From local to global deformation quantization of Poisson manifolds. Zbl 1037.53063Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo 47 2002 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 29 2002 \(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\). Zbl 1057.32007Felder, Giovanni; Varchenko, Alexander 7 2002 Fedosov connections on jet bundles and deformation quantization. Zbl 1014.53057Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo 2 2002 On the AKSZ formulation of the Poisson sigma model. Zbl 1058.81034Cattaneo, Alberto S.; Felder, Giovanni 68 2001 Poisson sigma models and symplectic groupoids. Zbl 1038.53074Cattaneo, Alberto S.; Felder, Giovanni 63 2001 On the globalization of Kontsevich’s star product and the perturbative Poisson sigma model. Zbl 1012.81030Cattaneo, Alberto S.; Felder, Giovanni 17 2001 The \(q\)-deformed Knizhnik-Zamolodchikov-Bernard heat equation. Zbl 1057.32006Felder, Giovanni; Varchenko, Alexander 7 2001 Special functions, conformal blocks, Bethe ansatz and SL\((3,\mathbb Z)\). Zbl 0996.33014Felder, G.; Varchenko, A. 4 2001 A path integral approach to the Kontsevich quantization formula. Zbl 1038.53088Cattaneo, Alberto S.; Felder, Giovanni 171 2000 The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\). Zbl 1038.11029Felder, Giovanni; Varchenko, Alexander 59 2000 The geometry of WZW branes. Zbl 1002.81042Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 55 2000 Differential equations compatible with KZ equations. Zbl 0984.35134Felder, G.; Markov, Y.; Tarasov, V.; Varchenko, A. 39 2000 Deformation quantization with traces. Zbl 0983.53065Felder, Giovanni; Shoikhet, Boris 31 2000 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 24 2000 Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations. Zbl 1038.32500Felder, G.; Tarasov, V.; Varchenko, A. 12 1999 Separation of variables for quantum integrable systems on elliptic curves. Zbl 1038.37512Felder, Giovanni; Schorr, Anke 6 1999 Resonance relations for solutions of the elliptic QKZB equations, fusion rules, and eigenvectors of transfer matrices of restricted interaction-round-a-face models. Zbl 1024.81038Felder, G.; Varchenko, A. 3 1999 Coinvariants for Yangian doubles and quantum Knizhnik-Zamolodchikov equations. Zbl 0924.17008Enriquez, B.; Felder, G. 2 1999 Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras. Zbl 0959.17013Enriquez, B.; Felder, G. 16 1998 A construction of Hopf algebra cocycles for the Yangian double \(DY({\mathfrak sl}_2)\). Zbl 0920.17006Enriquez, B.; Felder, G. 4 1998 The KZB equations on Riemann surfaces. Zbl 0943.32011Felder, Giovanni 1 1998 Elliptic quantum groups and Ruijsenaars models. Zbl 0924.17011Felder, Giovanni; Varchenko, Alexander 14 1997 Three formulae for eigenfunctions of integrable Schrödinger operators. Zbl 0907.17004Felder, Giovanni; Varchenko, Alexander 12 1997 On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\). Zbl 0870.17012Felder, Giovanni; Varchenko, Alexander 34 1996 Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\)). Zbl 0925.17020Felder, Giovanni; Varchenko, Alexander 29 1996 Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations. Zbl 0972.32012Felder, Giovanni; Wieczerkowski, Christian 20 1996 Remarks on the structure constants of the Verlinde algebra associated to \(sl_ 3\). Zbl 0843.17025Felder, G.; Varchenko, A. 1 1996 Conformal field theory and integrable systems associated to elliptic curves. Zbl 0852.17014Felder, Giovanni 63 1995 Elliptic quantum groups. Zbl 0998.17015Felder, Giovanni 46 1995 Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations. Zbl 0840.17020Felder, Giovanni; Varchenko, Alexander 22 1995 Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128Buchstaber, V. M.; Felder, G.; Veselov, A. P. 27 1994 Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation. Zbl 0811.35105Felder, Giovanni; Veselov, Alexander P. 14 1994 A simple construction of elliptic \(R\)-matrices. Zbl 0806.17020Felder, Giovanni; Pasquier, Vincent 9 1994 Topological representations of \(U_ q(\text{sl}_ 2(\mathbb{C}))\) on the torus and the mapping class group. Zbl 0828.57010Crivelli, M.; Felder, G.; Wieczerkowski, C. 2 1994 The Knizhnik-Zamolodchikov-Bernard equation on the torus. Zbl 0822.17035Felder, G.; Wieczerkowski, C. 2 1994 Gravity in non-commutative geometry. Zbl 0818.58008Chamseddine, A. H.; Felder, G.; Fröhlich, J. 65 1993 Generalized hypergeometric functions on the torus and the adjoint representation of \(U_ q(sl_ 2)\). Zbl 0777.17007Crivelli, M.; Felder, G.; Wieczerkowski, C. 5 1993 On combinatorial three-manifold invariants. Zbl 0928.57016Felder, G.; Grandjean, O. 4 1993 Conformal blocks of minimal models on a Riemann surface. Zbl 0746.57003Felder, G.; Silvotti, R. 3 1992 Restricted quantum affine symmetry of perturbed minimal conformal models. Zbl 0925.35140Felder, G.; Leclair, A. 3 1992 Topological representations of the quantum group \(U_ q(sl_ 2)\). Zbl 0722.55005Felder, G.; Wieczerkowski, C. 16 1991 Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra. Zbl 0703.17013Bernard, D.; Felder, G. 60 1990 On the structure of unitary conformal field theory. II: Representation theoretic approach. Zbl 0704.46051Felder, G.; Fröhlich, J.; Keller, G. 12 1990 Minimal models on a Riemann surface. Zbl 0745.32011Felder, G. 2 1990 Braid matrices and structure constants for minimal conformal models. Zbl 0696.17009Felder, G.; Fröhlich, J.; Keller, G. 39 1989 Modular covariance of minimal model correlation functions. Zbl 0693.30037Felder, G.; Silvotti, R. 14 1989 On the structure of unitary conformal field theory. I: Existence of conformal blocks. Zbl 0683.46053Felder, G.; Fröhlich, J.; Keller, G. 13 1989 Spectra of Wess-Zumino-Witten models with arbitrary simple groups. Zbl 0642.22005Felder, G.; Gawȩdzki, K.; Kupiainen, A. 49 1988 Renormalization group in the local potential approximation. Zbl 0632.35068Felder, Giovanni 15 1987 Analyticity of density of states in a gauge-invariant model for disordered electronic systems. Zbl 1084.82549Constantinescu, F.; Felder, G.; Gawȩdzki, K.; Kupiainen, A. 13 1987 Intersection properties of simple random walks: A renormalization group approach. Zbl 0573.60065Felder, G.; Fröhlich, J. 15 1985 Perturbation theory and nonrenormalizable scalar fields. Zbl 0595.58048Felder, Giovanni; Gallavotti, Giovanni 5 1985 all cited Publications top 5 cited Publications all top 5 Cited by 1,338 Authors 39 Felder, Giovanni 31 Varchenko, Alexander Nikolaevich 27 Cattaneo, Alberto Sergio 22 Fuchs, Jürgen 20 Schweigert, Christoph 15 Gawȩdzki, Krzysztof 14 Sharapov, Alexey A. 13 Xu, Ping 12 Rimányi, Richárd 12 Runkel, Ingo 12 Tarasov, Vitaly Olegovich 12 Waldmann, Stefan 12 Zabzine, Maxim 11 Ramadoss, Ajay C. 10 Bursztyn, Henrique 10 Moshayedi, Nima 10 Rossi, Carlo Antonio 10 Schomerus, Volker 10 Spiridonov, Vyacheslav Pavlovich 9 Berest, Yuri Yu. 9 Bonechi, Francesco 9 Dolgushev, Vasily A. 9 Etingof, Pavel Il’ich 9 Fröhlich, Jürg Martin 9 Grigoriev, Maxim 9 Kong, Liang 9 Kupriyanov, Vladislav G. 9 Stokman, Jasper V. 9 Szabo, Richard J. 9 Veselov, Alexander Petrovich 9 Willwacher, Thomas Hans 9 Zotov, Andrei V. 8 Ikeda, Noriaki 8 Mnëv, Pavel 8 Skvortsov, Evgeny D. 8 Stiénon, Mathieu 8 Strobl, Thomas 8 Tang, Xiang 8 Xu, Xiaomeng 7 Calaque, Damien 7 Chamseddine, Ali Hani 7 Karabegov, Alexander V. 7 Laurent-Gengoux, Camille 7 Lyakhovich, Simon L. 7 Schupp, Peter 7 Shiraishi, Jun’ichi 7 Watamura, Satoshi 7 Wieczerkowski, Christian 6 Chalykh, Oleg A. 6 Contreras, Iván A. 6 Dherin, Benoit 6 Falceto, Fernando 6 Langmann, Edwin 6 Léandre, Rémi 6 Motegi, Kohei 6 Reshetikhin, Nikolai Yu. 6 Ridout, David 6 Toledano Laredo, Valerio 6 Weinstein, Alan David 6 Wernli, Konstantin 6 Zhu, Chenchang 5 Alekseev, Anton Yur’evich 5 Batakidis, Panagiotis 5 Bouwknegt, Peter G. 5 Cabrera, Alejandro 5 Chen, Xiaojun 5 Cioroianu, Eugen-Mihăiţă 5 Durán, Antonio José 5 Gaberdiel, Matthias R. 5 Giveon, Amit 5 Gómez-Ullate, David 5 Grassi, Alba 5 Gutt, Simone 5 Huang, Yi-Zhi 5 Jurčo, Branislav 5 Kojima, Takeo 5 Komori, Yasushi 5 Konno, Hitoshi 5 Kuijlaars, Arno B. J. 5 Kutasov, David 5 Leksin, Vladimir Pavlovich 5 Mariño, Marcos 5 Milson, Robert 5 Nekrasov, Nikita Alexandrovich 5 Săraru, Silviu Constantin 5 Schellekens, A. N. 5 Sundell, Per Anders 5 Suszek, Rafał R. 5 Waldorf, Konrad 5 Zhang, Huafeng 4 Avan, Jean 4 Baricz, Árpád 4 Barnich, Glenn 4 Batalin, Igor A. 4 Bizdadea, Constantin 4 Borodin, Alexei 4 Bukhshtaber, Viktor Matveevich 4 Carow-Watamura, Ursula 4 Crainic, Marius 4 Creutzig, Thomas ...and 1,238 more Authors all top 5 Cited in 173 Serials 164 Communications in Mathematical Physics 134 Journal of High Energy Physics 92 Journal of Mathematical Physics 92 Nuclear Physics. B 77 Letters in Mathematical Physics 70 Journal of Geometry and Physics 64 Advances in Mathematics 32 International Journal of Modern Physics A 30 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 23 Reviews in Mathematical Physics 20 Selecta Mathematica. New Series 18 Theoretical and Mathematical Physics 18 Journal of Physics A: Mathematical and Theoretical 17 Journal of Algebra 17 Annales Henri Poincaré 13 Duke Mathematical Journal 12 Journal of Statistical Physics 11 Differential Geometry and its Applications 9 Modern Physics Letters A 9 Journal of Noncommutative Geometry 8 Journal of Mathematical Analysis and Applications 8 Physics Letters. B 8 Transformation Groups 7 Journal für die Reine und Angewandte Mathematik 7 Mathematische Annalen 7 International Journal of Geometric Methods in Modern Physics 6 International Journal of Theoretical Physics 6 Inventiones Mathematicae 6 Journal of Pure and Applied Algebra 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Constructive Approximation 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annales de l’Institut Fourier 5 Journal of Approximation Theory 5 Indagationes Mathematicae. New Series 5 Communications in Contemporary Mathematics 5 Physical Review Letters 5 Journal of Geometric Mechanics 4 Communications in Algebra 4 Physics Reports 4 Fortschritte der Physik 4 Mathematische Zeitschrift 4 International Journal of Mathematics 4 Journal of Mathematical Sciences (New York) 4 Algebras and Representation Theory 3 General Relativity and Gravitation 3 Reports on Mathematical Physics 3 Russian Mathematical Surveys 3 Functional Analysis and its Applications 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Combinatorial Theory. Series A 3 Pacific Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Journal of the American Mathematical Society 3 Annals of Physics 3 Applied Categorical Structures 3 Representation Theory 3 The Ramanujan Journal 3 Journal of Inequalities and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Algebraic & Geometric Topology 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of Statistical Mechanics: Theory and Experiment 3 The European Physical Journal C. Particles and Fields 3 Proceedings of the Steklov Institute of Mathematics 3 Forum of Mathematics, Sigma 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 The Annals of Probability 2 Compositio Mathematica 2 Journal of Differential Geometry 2 Memoirs of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 Physica D 2 Probability Theory and Related Fields 2 Forum Mathematicum 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Knot Theory and its Ramifications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 St. Petersburg Mathematical Journal 2 Annales Mathématiques Blaise Pascal 2 Documenta Mathematica 2 Mathematical Physics, Analysis and Geometry 2 Living Reviews in Relativity 2 Journal of Nonlinear Mathematical Physics 2 Portugaliae Mathematica. Nova Série 2 Physical Review D. Series III 2 Journal of Algebra and its Applications 2 Algebra & Number Theory 2 Journal of \(K\)-Theory 2 Arnold Mathematical Journal 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique ...and 73 more Serials all top 5 Cited in 53 Fields 733 Quantum theory (81-XX) 320 Differential geometry (53-XX) 305 Nonassociative rings and algebras (17-XX) 168 Global analysis, analysis on manifolds (58-XX) 133 Associative rings and algebras (16-XX) 126 Special functions (33-XX) 122 Algebraic geometry (14-XX) 121 Relativity and gravitational theory (83-XX) 99 Statistical mechanics, structure of matter (82-XX) 73 Category theory; homological algebra (18-XX) 61 Dynamical systems and ergodic theory (37-XX) 60 Several complex variables and analytic spaces (32-XX) 57 Manifolds and cell complexes (57-XX) 54 Group theory and generalizations (20-XX) 52 Functional analysis (46-XX) 49 Probability theory and stochastic processes (60-XX) 48 Topological groups, Lie groups (22-XX) 48 Algebraic topology (55-XX) 42 Partial differential equations (35-XX) 40 Ordinary differential equations (34-XX) 40 Mechanics of particles and systems (70-XX) 36 Difference and functional equations (39-XX) 30 Combinatorics (05-XX) 23 Number theory (11-XX) 22 Commutative algebra (13-XX) 22 \(K\)-theory (19-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Functions of a complex variable (30-XX) 16 Real functions (26-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 5 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Field theory and polynomials (12-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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