Edit Profile (opens in new tab) Paradan, Paul-Emile Co-Author Distance Author ID: paradan.paul-emile Published as: Paradan, Paul-Emile; Paradan, Paul-Émile; Paradan, P.-E. more...less Documents Indexed: 41 Publications since 1997, including 1 Book and 12 Additional arXiv Preprints Co-Authors: 2 Co-Authors with 12 Joint Publications 63 Co-Co-Authors Co-Authors 29 single-authored 12 Vergne, Michèle 1 Loizides, Yiannis all top 5 Serials 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Functional Analysis 2 The Journal of Symplectic Geometry 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Topology 1 International Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu all top 5 Fields 21 Differential geometry (53-XX) 12 Manifolds and cell complexes (57-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Topological groups, Lie groups (22-XX) 6 \(K\)-theory (19-XX) 4 Algebraic topology (55-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 229 times in 104 Documents Cited by ▼ Year ▼ Localization of the Riemann-Roch character. Zbl 1001.53062 Paradan, Paul-Emile 39 2001 Formal geometric quantization. II. Zbl 1235.53093 Paradan, Paul-Émile 22 2011 Spin\(^c\)-quantization and the \(K\)-multiplicities of the discrete series. Zbl 1091.53059 Paradan, Paul-Émile 20 2003 Index of transversally elliptic operators. Zbl 1209.19003 Paradan, Paul-Émile; Vergne, Michèle 16 2009 Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035 Paradan, Paul-Emile; Vergne, Michèle 16 2017 Formal geometric quantization. Zbl 1163.53056 Paradan, Paul-Émile 13 2009 The moment map and equivariant cohomology with generalized coefficients. Zbl 0941.37050 Paradan, Paul-Emile 13 2000 Localization formulas in equivariant cohomology. (Formules de localisation en cohomologie equivariante.) Zbl 0934.55006 Paradan, Paul-Emile 11 1999 Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015 Paradan, Paul-Emile; Vergne, Michèle 10 2019 Spin-quantization commutes with reduction. Zbl 1272.81091 Paradan, Paul-Emile 8 2012 Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series. Zbl 1355.53074 Paradan, Paul-Emile 8 2015 Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013 Paradan, P.-E.; Vergne, M. 7 2018 The Fourier transform of semi-simple coadjoint orbits. Zbl 0915.22008 Paradan, Paul-Emile 7 1999 Wall-crossing formulas in Hamiltonian geometry. Zbl 1253.53083 Paradan, Paul-Emile 6 2011 The multiplicities of the equivariant index of twisted Dirac operators. (Multiplicitiés de l’indice équivariant de l’opérateur de Dirac twisté.) Zbl 1319.53045 Paradan, Paul-Émile; Vergne, Michèle 6 2014 Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032 Paradan, Paul-Émile; Vergne, Michèle 5 2018 Stability property of multiplicities of group representations. Zbl 1445.22003 Paradan, Paul-Emile 3 2019 Formal geometric quantization. III: Functoriality in the \(\mathrm{spin}^c\) setting. Zbl 1403.53078 Paradan, Paul-Emile 3 2018 Symmetric spaces of the non-compact type: Lie groups. Zbl 1197.22002 Paradan, Paul-Émile 2 2009 Hamiltonian torus action and localization formula in equivariant cohomology. (Action hamiltonienne d’un tore et formule de localisation en cohomologie équivariante.) Zbl 0881.57040 Paradan, Paul-Émile 2 1997 Kirillov’s orbit method: the case of discrete series representations. Zbl 1431.22014 Paradan, Paul-Emile 2 2019 A note on the formulars of Guillemin-Kalkman. (Note sur les formules de saut de Guillemin-Kalkman.) Zbl 1076.37044 Paradan, Paul-Émile 2 2004 The Horn cone associated with symplectic eigenvalues. Zbl 1529.15011 Paradan, Paul-Emile 2 2022 Horn problem for quasi-Hermitian Lie groups. Zbl 1529.22005 Paradan, Paul-Emile 2 2023 Ressayre’s pairs in the Kähler setting. Zbl 1496.53089 Paradan, Paul-Emile 2 2021 Quillen’s relative Chern character. Zbl 1207.19004 Paradan, Paul-Emile; Vergne, Michèle 1 2009 Index of projective elliptic operators. (Indice d’opérateurs elliptiques projectifs.) Zbl 1370.58011 Paradan, Paul-Émile 1 2016 Horn problem for quasi-Hermitian Lie groups. Zbl 1529.22005 Paradan, Paul-Emile 2 2023 The Horn cone associated with symplectic eigenvalues. Zbl 1529.15011 Paradan, Paul-Emile 2 2022 Ressayre’s pairs in the Kähler setting. Zbl 1496.53089 Paradan, Paul-Emile 2 2021 Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015 Paradan, Paul-Emile; Vergne, Michèle 10 2019 Stability property of multiplicities of group representations. Zbl 1445.22003 Paradan, Paul-Emile 3 2019 Kirillov’s orbit method: the case of discrete series representations. Zbl 1431.22014 Paradan, Paul-Emile 2 2019 Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013 Paradan, P.-E.; Vergne, M. 7 2018 Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032 Paradan, Paul-Émile; Vergne, Michèle 5 2018 Formal geometric quantization. III: Functoriality in the \(\mathrm{spin}^c\) setting. Zbl 1403.53078 Paradan, Paul-Emile 3 2018 Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035 Paradan, Paul-Emile; Vergne, Michèle 16 2017 Index of projective elliptic operators. (Indice d’opérateurs elliptiques projectifs.) Zbl 1370.58011 Paradan, Paul-Émile 1 2016 Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series. Zbl 1355.53074 Paradan, Paul-Emile 8 2015 The multiplicities of the equivariant index of twisted Dirac operators. (Multiplicitiés de l’indice équivariant de l’opérateur de Dirac twisté.) Zbl 1319.53045 Paradan, Paul-Émile; Vergne, Michèle 6 2014 Spin-quantization commutes with reduction. Zbl 1272.81091 Paradan, Paul-Emile 8 2012 Formal geometric quantization. II. Zbl 1235.53093 Paradan, Paul-Émile 22 2011 Wall-crossing formulas in Hamiltonian geometry. Zbl 1253.53083 Paradan, Paul-Emile 6 2011 Index of transversally elliptic operators. Zbl 1209.19003 Paradan, Paul-Émile; Vergne, Michèle 16 2009 Formal geometric quantization. Zbl 1163.53056 Paradan, Paul-Émile 13 2009 Symmetric spaces of the non-compact type: Lie groups. Zbl 1197.22002 Paradan, Paul-Émile 2 2009 Quillen’s relative Chern character. Zbl 1207.19004 Paradan, Paul-Emile; Vergne, Michèle 1 2009 A note on the formulars of Guillemin-Kalkman. (Note sur les formules de saut de Guillemin-Kalkman.) Zbl 1076.37044 Paradan, Paul-Émile 2 2004 Spin\(^c\)-quantization and the \(K\)-multiplicities of the discrete series. Zbl 1091.53059 Paradan, Paul-Émile 20 2003 Localization of the Riemann-Roch character. Zbl 1001.53062 Paradan, Paul-Emile 39 2001 The moment map and equivariant cohomology with generalized coefficients. Zbl 0941.37050 Paradan, Paul-Emile 13 2000 Localization formulas in equivariant cohomology. (Formules de localisation en cohomologie equivariante.) Zbl 0934.55006 Paradan, Paul-Emile 11 1999 The Fourier transform of semi-simple coadjoint orbits. Zbl 0915.22008 Paradan, Paul-Emile 7 1999 Hamiltonian torus action and localization formula in equivariant cohomology. (Action hamiltonienne d’un tore et formule de localisation en cohomologie équivariante.) Zbl 0881.57040 Paradan, Paul-Émile 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 97 Authors 14 Paradan, Paul-Emile 12 Hochs, Peter 11 Vergne, Michèle 9 Loizides, Yiannis 6 Song, Yanli 5 Ma, Xiaonan 4 Baldare, Alexandre 4 Fujita, Hajime 4 Mathai, Varghese 3 Braverman, Maxim 3 Hsiao, Chin-Yu 3 Huang, Rung-Tzung 3 Libine, Matvei 3 Procesi, Claudio 3 Zhang, Weiping 2 De Concini, Corrado 2 Furuta, Mikio 2 Guillemin, Victor W. 2 Guo, Hao 2 Kirwan, Frances Clare 2 Martens, Johan 2 McSwiggen, Colin 2 Miranda, Eva 2 Mishra, Hemant Kumar 2 Pelletier, Maxime 2 Prokhorenkov, Igor 2 Richardson, Ken V. 2 Shao, Guokuan 2 Weitsman, Jonathan 2 Yoshida, Takahiko 2 Yu, Shilin 1 Agapito, José 1 Alldridge, Alexander 1 Babu, Gajendra 1 Baldoni-Silva, Maria Welleda 1 Benameur, Moulay-Tahar 1 Blacker, Casey 1 Boeijink, Jord 1 Bos, Rogier 1 Boysal, Arzu 1 Bytsenko, Andrei A. 1 Cecchini, Simone 1 Collins, Benoît 1 Côme, Rémi 1 Deltour, Guillaume 1 Duflo, Michel 1 Farsi, Carla 1 Fyodorov, Yan V. 1 Godinho, Leonor 1 Gorokhovsky, Alexander 1 Gourevitch, Dmitry 1 Hall, Stuart James 1 Huang, Shaowu 1 Karshon, Ido 1 Kobayashi, Toshiyuki 1 Landsman, Nicolaas P. 1 Li, Xiaoshan 1 Lin, Yi 1 Liu, Wenran 1 Lott, John 1 Maddock, Zachary 1 Marinescu, George 1 Mauch, Roman 1 Meinrenken, Eckhard 1 Murphy, Thomas 1 Nasrin, Salma 1 Nistor, Victor 1 Oshima, Yoshiki 1 Pak, Igor 1 Panova, Greta 1 Pflaum, Markus J. 1 Rémy, Bertrand 1 Ressayre, Nicolas 1 Rodsphon, Rudy 1 Ruggeri, Lorenzo 1 Sawin, Stephen F. 1 Sayag, Eitan 1 Seaton, Christopher 1 Shaikh, Zain 1 Sjamaar, Reyer 1 Steinacker, Harold 1 Strahov, Eugene 1 Szabo, Richard J. 1 Szenes, András 1 Teleman, Constantin 1 Thaddeus, Michael 1 Thuillier, Amaury 1 van Suijlekom, Walter Daniël 1 Waldron, James 1 Walter, Michael 1 Wang, Hang 1 Werner, Annette 1 Williams, Floyd L. 1 Woodward, Christopher T. 1 Yang, Enlin 1 Yin, Linsheng 1 Zhang, Hongfeng all top 5 Cited in 52 Serials 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Geometry and Physics 6 Advances in Mathematics 5 Communications in Mathematical Physics 5 Transformation Groups 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 Differential Geometry and its Applications 2 Geometriae Dedicata 2 Journal of Lie Theory 2 Algebras and Representation Theory 2 Communications in Contemporary Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Noncommutative Geometry 2 Forum of Mathematics, Sigma 2 Annals of \(K\)-Theory 1 Nuclear Physics. B 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Algebra 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 The Journal of Geometric Analysis 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Representation Theory 1 Annals of Mathematics. Second Series 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Dynamical Systems and Geometric Theories 1 International Journal of Geometric Methods in Modern Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Homotopy and Related Structures 1 Bulletin of Mathematical Sciences 1 Algebraic Combinatorics all top 5 Cited in 28 Fields 58 Differential geometry (53-XX) 44 Global analysis, analysis on manifolds (58-XX) 28 Topological groups, Lie groups (22-XX) 19 \(K\)-theory (19-XX) 14 Manifolds and cell complexes (57-XX) 14 Quantum theory (81-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Algebraic geometry (14-XX) 7 Combinatorics (05-XX) 6 Functional analysis (46-XX) 6 Algebraic topology (55-XX) 5 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of particles and systems (70-XX) 2 Numerical analysis (65-XX) 1 Commutative algebra (13-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year