Edit Profile Vergne, Michèle Compute Distance To: Compute Author ID: vergne.michele Published as: M., Vergne; Vergne, M.; Vergne, Michele; Vergne, Michèle Homepage: https://webusers.imj-prg.fr/~michele.vergne/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 156 Publications since 1966, including 18 Books all top 5 Co-Authors 43 single-authored 28 Berline, Nicole 16 Duflo, Michel 14 Baldoni-Silva, Maria Welleda 8 Paradan, Paul-Emile 8 Rossi, Hugo 7 Brion, Michel 7 Köppe, Matthias 6 Carmona, Jacques 6 De Loera, Jesús A. 5 De Concini, Corrado 5 Procesi, Claudio 4 Kashiwara, Masaki 4 Szenes, András 3 Boysal, Arzu 3 Dixmier, Jacques 3 Kumar, Shrawan 3 Walter, Michael 2 Beck, Matthias 2 Conze, Nicole 2 Delorme, Patrick 2 Dutra, Brandon E. 2 Getzler, Ezra 2 Jakobsen, Hans Plesner 2 Joseph, Anthony 2 Kostant, Bertram 2 Lion, Gerard 2 Rosenberg, Jonathan Micah 1 Baez, John C. 1 Bernat, Philippe 1 Beschler, Edwin F. 1 Cochet, Charles 1 Dickenstein, Alicia M. 1 Gross, Leonard 1 Guillemin, Victor W. 1 Gundy, Richard F. 1 Haase, Christian Alexander 1 Hajnal, András 1 Heckman, Gert 1 Jeffrey, Lisa C. 1 Kadison, Richard Vincent 1 Kahane, Jean-Pierre 1 Korányi, Adam 1 Levy-Nahas, Monique 1 Loizides, Yiannis 1 Ma, Xiaonan 1 N. V., Pedersen 1 Nelson, Joseph Edward 1 Nill, Benjamin 1 Peterson, Dale Harvey 1 Puppe, Volker 1 Rais, Mustapha 1 Renouard, Pierre 1 Rentschler, Rudolf 1 Reznick, Bruce 1 Stroock, Daniel W. 1 Welker, Volkmar 1 Wightman, Arthur Strong 1 Wolf, Joseph Albert 1 Yor, Marc 1 Yoshida, Ruriko all top 5 Serials 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Comptes Rendus de l’Académie des Sciences. Série I 6 Inventiones Mathematicae 6 Lecture Notes in Mathematics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Duke Mathematical Journal 5 Journal of Functional Analysis 5 Transformation Groups 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin de la Société Mathématique de France 3 Topology 3 Notices of the American Mathematical Society 3 Progress in Mathematics 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Mathematika 2 Pacific Journal of Mathematics 2 Journal of Symbolic Computation 2 Journal of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Annals of Mathematics. Second Series 2 Foundations of Computational Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Oberwolfach Reports 1 Mathematics of Computation 1 American Journal of Mathematics 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Integers 1 Moscow Mathematical Journal 1 The Journal of Symplectic Geometry 1 Astérisque 1 Contemporary Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 Algebraic Combinatorics all top 5 Fields 53 Topological groups, Lie groups (22-XX) 33 Global analysis, analysis on manifolds (58-XX) 28 Nonassociative rings and algebras (17-XX) 28 Differential geometry (53-XX) 23 Convex and discrete geometry (52-XX) 18 Abstract harmonic analysis (43-XX) 15 Algebraic geometry (14-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Manifolds and cell complexes (57-XX) 13 \(K\)-theory (19-XX) 13 Algebraic topology (55-XX) 11 General and overarching topics; collections (00-XX) 11 Number theory (11-XX) 10 Combinatorics (05-XX) 9 Quantum theory (81-XX) 7 Computer science (68-XX) 6 History and biography (01-XX) 6 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 3 Numerical analysis (65-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 120 Publications have been cited 2,560 times in 1,869 Documents Cited by ▼ Year ▼ Heat kernels and Dirac operators. Zbl 0744.58001Berline, Nicole; Getzler, Ezra; Vergne, Michèle 374 1992 Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015Berline, Nicole; Getzler, Ezra; Vergne, Michèle 197 2004 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009Kashiwara, M.; Vergne, M. 169 1978 The Weil representation, Maslov index and theta series. Zbl 0444.22005Lion, Gérard; Vergne, Michèle 122 1980 Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. Zbl 0244.17011Vergne, Michele 117 1970 Analytic continuation of the holomorphic discrete series of a semi-simple Lie group. Zbl 0356.32020Vergne, M.; Rossi, H. 87 1976 Représentations des groupes de Lie resolubles. Zbl 0248.22012Bernat, P.; Conze, N.; Duflo, M.; Levy-Nahas, M.; Rais, M.; Renouard, P.; Vergne, M. 84 1972 Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020Berline, Nicole; Vergne, Michele 72 1982 Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007Berline, Nicole; Vergne, Michele 58 1983 Wave and Dirac operators, and representations of the conformal group. Zbl 0361.22012Jakobsen, Hans Plesner; Vergne, Michele 55 1977 Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue. Zbl 0945.32003Brion, Michel; Vergne, Michèle 48 1999 Restrictions and expansions of holomorphic representations. Zbl 0433.22011Jakobsen, Hans Plesner; Vergne, Michele 48 1979 Residue formulae, vector partition functions and lattice points in rational polytopes. Zbl 0926.52016Brion, Michel; Vergne, Michèle 45 1997 Lattice points in simple polytopes. Zbl 0871.52009Brion, Michel; Vergne, Michèle 41 1997 Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group. Zbl 0279.32019Rossi, Hugo; Vergne, Michele 41 1973 The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012Kashiwara, Masaki; Vergne, Michele 35 1978 Toric reduction and a conjecture of Batyrev and Materov. Zbl 1067.14036Szenes, András; Vergne, Michèle 32 2004 Sur le semi-centre du corps enveloppant d’une algèbre de Lie. Zbl 0293.17007Rentschler, Rudolf; Vergne, Michele 31 1973 La structure de Poisson sur l’algébre symétrique d’une algèbre de Lie nilpotente. Zbl 0256.17002Vergne, Michele 31 1972 Une propriété de la représentation coadjointe d’une algèbre de Lie. Zbl 0192.37402Duflo, M.; Vergne, M. 29 1969 An equivariant Riemann-Roch theorem for complete, simplicial toric varieties. Zbl 0862.14006Brion, Michel; Vergne, Michèle 28 1997 The equivariant index and Kirillov’s character formula. Zbl 0604.58046Berline, Nicole; Vergne, Michele 28 1985 Sur la représentation coadjointe d’une algèbre de Lie. Zbl 0296.17009Dixmier, J.; Duflo, M.; Vergne, M. 27 1974 Residue formulae for vector partitions and Euler–MacLaurin sums. Zbl 1067.52014Szenes, András; Vergne, Michèle 26 2003 Réductibilité de la variété des algèbres de Lie nilpotentes. Zbl 0145.25902Vergne, Michèle 26 1966 Projection d’orbites, formule de Kirillov et formule de Blattner. (Projection of orbits, Kirillov formula, and Blattner formula). Zbl 0575.22014Duflo, Michel; Heckman, Gerrit; Vergne, Michèle 25 1984 How to integrate a polynomial over a simplex. Zbl 1216.68120Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 23 2011 Kostant partitions functions and flow polytopes. Zbl 1200.52008Baldoni, Welleda; Vergne, Michèle 22 2008 Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006Berline, Nicole; Vergne, Michèle 22 2007 The equivariant index of transversally elliptic operators. Zbl 0883.58037Berline, Nicole; Vergne, Michèle 22 1996 A computation of the equivariant index of the Dirac operator. Zbl 0592.58044Berline, Nicole; Vergne, Michèle 22 1985 The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037Berline, Nicole; Vergne, Michèle 21 1996 Vector partition functions and generalized Dahmen and Micchelli spaces. Zbl 1223.58015De Concini, C.; Procesi, C.; Vergne, M. 18 2010 Vector partition functions and index of transversally elliptic operators. Zbl 1223.58014De Concini, C.; Procesi, C.; Vergne, M. 18 2010 Counting integer flows in networks. Zbl 1083.68640Baldoni-Silva, W.; de Loera, J. A.; Vergne, M. 18 2004 Equivariant index formulas for orbifolds. Zbl 0874.57029Vergne, Michele 17 1996 Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006Kashiwara, M.; Vergne, M. 17 1979 Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele 16 2006 Multiplicities formula for geometric quantization. I. Zbl 0855.58033Vergne, Michele 15 1996 Applications of equivariant cohomology. Zbl 1123.19004Vergne, Michèle 14 2007 On Rossmann’s character formula for discrete series. Zbl 0428.22010Vergne, M. 14 1979 Construction de sous-algèbres subordonnées a un élément du dual d’une algèbre de Lie résoluble. Zbl 0209.06702Vergne, M. 14 1970 Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035Paradan, Paul-Emile; Vergne, Michèle 13 2017 Instantons and Kostant-Sekiguchi correspondence. Zbl 0833.22010Vergne, Michèle 13 1995 Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010Berline, Nicole; Vergne, Michele 12 1983 Equations de Hua et noyau de Poisson. Zbl 0521.32024Berline, Nicole; Vergne, Michele 12 1981 Equations de Cauchy-Riemann tangentielles associees à un domaine de Siegel. Zbl 0398.32018Rossi, H.; Vergne, M. 12 1976 Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Zbl 1255.05006Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M. 11 2012 Equivariante cohomology and descent. II. Zbl 0805.57022Duflo, Michel; Vergne, Michèle 11 1993 The Plancherel formula for real semisimple Lie groups. Zbl 0759.22017Duflo, Michel; Vergne, Michèle 11 1988 Étude de certaines représentations induites d’un groupe de Lie résoluble exponentiel. (Study on certain induced representations of a exponential solvable Lie group). Zbl 0221.22014Vergne, Michèle 11 1970 Construction de sous-algèbres subordonnées à un élément du dual d’une algèbre de résoluble. Zbl 0209.06701Vergne, M. 10 1970 Box splines and the equivariant index theorem. Zbl 1273.65017De Concini, C.; Procesi, C.; Vergne, M. 9 2013 Index of transversally elliptic operators. Zbl 1209.19003Paradan, Paul-Émile; Vergne, Michèle 9 2009 Multiplicities formula for geometric quantization. II. Zbl 0855.58034Vergne, Michele 9 1996 Geometric quantization and equivariant cohomology. Zbl 0827.58020Vergne, Michèle 9 1994 The infinitesimal index. Zbl 1344.19004De Concini, C.; Procesi, C.; Vergne, M. 8 2013 Infinitesimal index: cohomology computations. Zbl 1248.58014De Concini, C.; Procesi, C.; Vergne, M. 8 2011 The center of the enveloping algebra and the Campbell-Hausdorff formula. Zbl 0989.17007Vergne, Michèle 8 1999 A note on the Jeffrey-Kirwan-Witten localisation formula. Zbl 0862.57019Vergne, Michèle 8 1996 Joseph polynomials and Springer representation. Zbl 0718.22009Vergne, Michèle 8 1990 A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030Berline, Nicole; Vergne, Michèle 8 1987 A Poisson-Plancherel formula for semi-simple Lie groups. Zbl 0501.43006Vergne, Michele 8 1982 The multiplicities of the equivariant index of twisted Dirac operators. Zbl 1319.53045Paradan, Paul-Émile; Vergne, Michèle 7 2014 Orbites coadjointes et cohomologie équivariante. (Coadjoint orbits and equivariant cohomology). Zbl 0741.22008Duflo, Michel; Vergne, Michèle 7 1990 Harmonically induced representations of solvable Lie groups. Zbl 0602.22008Rosenberg, Jonathan; Vergne, Michèle 7 1985 Groupe symplectique et seconde quantification. Zbl 0386.22014Vergne, Michele 7 1977 Idéaux primitifs des algèbres enveloppantes des algèbres de Lie résolubles. Zbl 0211.35801Conze, N.; Vergne, M. 7 1971 Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M. 6 2013 Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes. Zbl 1122.11065Vergne, Michèle 6 2003 Quantification géométrique et réduction symplectique. (Geometric quantization and symplectic reduction). Zbl 1037.53062Vergne, Michèle 6 2002 Convex polytopes and quantization of symplectic manifolds. Zbl 0864.58022Vergne, Michèle 6 1996 Geometric quantization and multiplicities. Zbl 0814.58020Vergne, Michèle 6 1994 Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. Zbl 0244.17010Vergne, Michele 6 1968 Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015Paradan, Paul-Emile; Vergne, Michèle 5 2019 Inequalities for moment cones of finite-dimensional representations. Zbl 1390.53095Vergne, Michèle; Walter, Michael 5 2017 Arrangement of hyperplanes. II: The Szenes formula and Eisenstein series. Zbl 0968.32016Brion, Michel; Vergne, Michèle 5 2000 Sur le foncteur de Zuckerman. (On Zuckerman’s functor). Zbl 0617.17007Duflo, Michel; Vergne, Michèle 5 1987 Group representations on Hilbert spaces defined in terms of \(\overline\partial_b\)-cohomology on the Silov boundary of a Siegel domain. Zbl 0354.22018Rossi, H.; Vergne, M. 5 1976 Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013Paradan, P.-E.; Vergne, M. 4 2018 \([Q,R]=0\) and Kostant partition functions. Zbl 1409.81068Szenes, András; Vergne, Michèle 4 2017 A homotopy for a complex of free Lie algebras. Zbl 1318.17011Vergne, Michèle 4 2012 Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator. Zbl 1186.52006Boysal, Arzu; Vergne, Michèle 4 2009 La structure de Poisson sur l’algèbre symétrique d’une algèbre de Lie nilpotente. Zbl 0204.35902Vergne, Michèle 4 1969 Computation of dilated Kronecker coefficients. Zbl 1388.13016Baldoni, V.; Vergne, M.; Walter, M. 3 2018 Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026Berline, Nicole; Vergne, Michèle 3 2016 Formal equivariant \( \hat A\) class, splines and multiplicities of the index of transversally elliptic operators. Zbl 1362.19005Vergne, M. 3 2016 Kirillov’s formula and Guillemin-Sternberg conjecture. Zbl 1230.22005Duflo, Michel; Vergne, Michèle 3 2011 The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058Berline, Nicole; Vergne, Michèle 3 2007 Morris identities and the total residue for a system of type \(A_r\). Zbl 1097.33011Baldoni-Silva, Velleda; Vergne, Michèle 3 2004 The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032Berline, Nicole; Vergne, Michèle 3 1993 Equivariant cohomology and descent. I. Zbl 0795.57014Duflo, Michel; Vergne, Michèle 3 1993 Sur l’indice des opérateurs transversalement elliptiques. (On the index of transversally elliptic operators). Zbl 0693.58022Vergne, Michèle 3 1990 Representations of Lie groups and the orbit method. Zbl 0525.22011Vergne, Michele 3 1983 Existence de polarisations positives dans les algèbres de Lie. Zbl 0249.17016Vergne, Michele; Wolf, Joseph 3 1972 Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032Paradan, Paul-Émile; Vergne, Michèle 2 2018 Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 2 2016 Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. Zbl 1323.11014Baldoni, Velleda; Boysal, Arzu; Vergne, Michèle 2 2015 Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003Berline, Nicole; Vergne, Michèle 2 2012 Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings. Zbl 1251.14023Boysal, Arzu; Vergne, Michèle 2 2012 Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015Paradan, Paul-Emile; Vergne, Michèle 5 2019 Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013Paradan, P.-E.; Vergne, M. 4 2018 Computation of dilated Kronecker coefficients. Zbl 1388.13016Baldoni, V.; Vergne, M.; Walter, M. 3 2018 Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032Paradan, Paul-Émile; Vergne, Michèle 2 2018 Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035Paradan, Paul-Emile; Vergne, Michèle 13 2017 Inequalities for moment cones of finite-dimensional representations. Zbl 1390.53095Vergne, Michèle; Walter, Michael 5 2017 \([Q,R]=0\) and Kostant partition functions. Zbl 1409.81068Szenes, András; Vergne, Michèle 4 2017 The Horn inequalities from a geometric point of view. Zbl 1405.22017Berline, Nicole; Vergne, Michèle; Walter, Michael 1 2017 The equivariant Riemann-Roch theorem and the graded Todd class. Zbl 1414.53081Vergne, Michèle 1 2017 Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026Berline, Nicole; Vergne, Michèle 3 2016 Formal equivariant \( \hat A\) class, splines and multiplicities of the index of transversally elliptic operators. Zbl 1362.19005Vergne, M. 3 2016 Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 2 2016 Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. Zbl 1323.11014Baldoni, Velleda; Boysal, Arzu; Vergne, Michèle 2 2015 Coefficients of Sylvester’s denumerant. Zbl 1318.05004Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Dutra, Brandon E.; Köppe, Matthias; Vergne, Michèle 1 2015 The multiplicities of the equivariant index of twisted Dirac operators. Zbl 1319.53045Paradan, Paul-Émile; Vergne, Michèle 7 2014 Box splines and the equivariant index theorem. Zbl 1273.65017De Concini, C.; Procesi, C.; Vergne, M. 9 2013 The infinitesimal index. Zbl 1344.19004De Concini, C.; Procesi, C.; Vergne, M. 8 2013 Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M. 6 2013 Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Zbl 1255.05006Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M. 11 2012 A homotopy for a complex of free Lie algebras. Zbl 1318.17011Vergne, Michèle 4 2012 Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003Berline, Nicole; Vergne, Michèle 2 2012 Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings. Zbl 1251.14023Boysal, Arzu; Vergne, Michèle 2 2012 A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes. Zbl 1251.52007Dickenstein, Alicia; Nill, Benjamin; Vergne, Michèle 1 2012 How to integrate a polynomial over a simplex. Zbl 1216.68120Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 23 2011 Infinitesimal index: cohomology computations. Zbl 1248.58014De Concini, C.; Procesi, C.; Vergne, M. 8 2011 Kirillov’s formula and Guillemin-Sternberg conjecture. Zbl 1230.22005Duflo, Michel; Vergne, Michèle 3 2011 A remark on the convolution with the box spline. Zbl 1248.41024Vergne, Michèle 1 2011 Vector partition functions and generalized Dahmen and Micchelli spaces. Zbl 1223.58015De Concini, C.; Procesi, C.; Vergne, M. 18 2010 Vector partition functions and index of transversally elliptic operators. Zbl 1223.58014De Concini, C.; Procesi, C.; Vergne, M. 18 2010 Index of transversally elliptic operators. Zbl 1209.19003Paradan, Paul-Émile; Vergne, Michèle 9 2009 Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator. Zbl 1186.52006Boysal, Arzu; Vergne, Michèle 4 2009 Quillen’s relative Chern character. Zbl 1207.19004Paradan, Paul-Emile; Vergne, Michèle 1 2009 Kostant partitions functions and flow polytopes. Zbl 1200.52008Baldoni, Welleda; Vergne, Michèle 22 2008 Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Zbl 1162.52008Baldoni, Velleda; Berline, Nicole; Vergne, Michèle 2 2008 Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006Berline, Nicole; Vergne, Michèle 22 2007 Applications of equivariant cohomology. Zbl 1123.19004Vergne, Michèle 14 2007 The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058Berline, Nicole; Vergne, Michèle 3 2007 Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele 16 2006 Mixed toric residues and tropical degenerations. Zbl 1098.14027Szenes, András; Vergne, Michèle 2 2006 Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015Berline, Nicole; Getzler, Ezra; Vergne, Michèle 197 2004 Toric reduction and a conjecture of Batyrev and Materov. Zbl 1067.14036Szenes, András; Vergne, Michèle 32 2004 Counting integer flows in networks. Zbl 1083.68640Baldoni-Silva, W.; de Loera, J. A.; Vergne, M. 18 2004 Morris identities and the total residue for a system of type \(A_r\). Zbl 1097.33011Baldoni-Silva, Velleda; Vergne, Michèle 3 2004 Residue formulae for vector partitions and Euler–MacLaurin sums. Zbl 1067.52014Szenes, András; Vergne, Michèle 26 2003 Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes. Zbl 1122.11065Vergne, Michèle 6 2003 Quantification géométrique et réduction symplectique. (Geometric quantization and symplectic reduction). Zbl 1037.53062Vergne, Michèle 6 2002 Arrangement of hyperplanes. II: The Szenes formula and Eisenstein series. Zbl 0968.32016Brion, Michel; Vergne, Michèle 5 2000 Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue. Zbl 0945.32003Brion, Michel; Vergne, Michèle 48 1999 The center of the enveloping algebra and the Campbell-Hausdorff formula. Zbl 0989.17007Vergne, Michèle 8 1999 Irving Ezra Segal (1918–1998). Zbl 1194.01056Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S. 1 1999 Quantization of algebraic cones and Vogan’s conjecture. Zbl 0906.22013Vergne, Michèle 2 1998 Residue formulae, vector partition functions and lattice points in rational polytopes. Zbl 0926.52016Brion, Michel; Vergne, Michèle 45 1997 Lattice points in simple polytopes. Zbl 0871.52009Brion, Michel; Vergne, Michèle 41 1997 An equivariant Riemann-Roch theorem for complete, simplicial toric varieties. Zbl 0862.14006Brion, Michel; Vergne, Michèle 28 1997 The equivariant index of transversally elliptic operators. Zbl 0883.58037Berline, Nicole; Vergne, Michèle 22 1996 The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037Berline, Nicole; Vergne, Michèle 21 1996 Equivariant index formulas for orbifolds. Zbl 0874.57029Vergne, Michele 17 1996 Multiplicities formula for geometric quantization. I. Zbl 0855.58033Vergne, Michele 15 1996 Multiplicities formula for geometric quantization. II. Zbl 0855.58034Vergne, Michele 9 1996 A note on the Jeffrey-Kirwan-Witten localisation formula. Zbl 0862.57019Vergne, Michèle 8 1996 Convex polytopes and quantization of symplectic manifolds. Zbl 0864.58022Vergne, Michèle 6 1996 An Euler-Maclaurin formula for partition functions. Zbl 0869.65004Brion, Michel; Vergne, Michèle 1 1996 An Euler-MacLaurin formula for rational convex polytopes. Zbl 0870.52004Brion, Michel; Vergne, Michèle 1 1996 Instantons and Kostant-Sekiguchi correspondence. Zbl 0833.22010Vergne, Michèle 13 1995 Geometric quantization and equivariant cohomology. Zbl 0827.58020Vergne, Michèle 9 1994 Geometric quantization and multiplicities. Zbl 0814.58020Vergne, Michèle 6 1994 Equivariante cohomology and descent. II. Zbl 0805.57022Duflo, Michel; Vergne, Michèle 11 1993 The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032Berline, Nicole; Vergne, Michèle 3 1993 Equivariant cohomology and descent. I. Zbl 0795.57014Duflo, Michel; Vergne, Michèle 3 1993 Equivariant index and character of an induced representation. Zbl 0793.58033Berline, Nicole; Vergne, Michèle 2 1993 On the equivariant cohomology of differentiable manifolds. (I: M. Duflo and M. Vergne, Equivariant cohomology and descent. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients). Zbl 0830.57001Duflo, Michel; Kumar, Shrawan; Vergne, Michèle 1 1993 Heat kernels and Dirac operators. Zbl 0744.58001Berline, Nicole; Getzler, Ezra; Vergne, Michèle 374 1992 Joseph polynomials and Springer representation. Zbl 0718.22009Vergne, Michèle 8 1990 Orbites coadjointes et cohomologie équivariante. (Coadjoint orbits and equivariant cohomology). Zbl 0741.22008Duflo, Michel; Vergne, Michèle 7 1990 Sur l’indice des opérateurs transversalement elliptiques. (On the index of transversally elliptic operators). Zbl 0693.58022Vergne, Michèle 3 1990 The Plancherel formula for real semisimple Lie groups. Zbl 0759.22017Duflo, Michel; Vergne, Michèle 11 1988 A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030Berline, Nicole; Vergne, Michèle 8 1987 Sur le foncteur de Zuckerman. (On Zuckerman’s functor). Zbl 0617.17007Duflo, Michel; Vergne, Michèle 5 1987 The equivariant index and Kirillov’s character formula. Zbl 0604.58046Berline, Nicole; Vergne, Michele 28 1985 A computation of the equivariant index of the Dirac operator. Zbl 0592.58044Berline, Nicole; Vergne, Michèle 22 1985 Harmonically induced representations of solvable Lie groups. Zbl 0602.22008Rosenberg, Jonathan; Vergne, Michèle 7 1985 Projection d’orbites, formule de Kirillov et formule de Blattner. (Projection of orbits, Kirillov formula, and Blattner formula). Zbl 0575.22014Duflo, Michel; Heckman, Gerrit; Vergne, Michèle 25 1984 Formule de Kirillov et indice de l’opérateur de Dirac. (Kirillov formula and index of the Dirac operator). Zbl 0597.58033Vergne, Michèle 1 1984 Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007Berline, Nicole; Vergne, Michele 58 1983 Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010Berline, Nicole; Vergne, Michele 12 1983 Representations of Lie groups and the orbit method. Zbl 0525.22011Vergne, Michele 3 1983 Weil representation, Maslov index and theta series. (Predstavlenie Vejlya, indeks Maslova i tehta-ryady). Transl. from the English. Zbl 0542.22012Lion, Gérard; Vergne, Michèle 1 1983 Non commutative harmonic analysis and Lie groups. Proceedings of the International Conference, held in Marseille Luminy, 21-26 June, 1982. Zbl 0511.00012Carmona, J. (ed.); Vergne, M. (ed.) 1 1983 Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020Berline, Nicole; Vergne, Michele 72 1982 A Poisson-Plancherel formula for semi-simple Lie groups. Zbl 0501.43006Vergne, Michele 8 1982 Equations de Hua et noyau de Poisson. Zbl 0521.32024Berline, Nicole; Vergne, Michele 12 1981 The Weil representation, Maslov index and theta series. Zbl 0444.22005Lion, Gérard; Vergne, Michèle 122 1980 Equations de Hua et intégrales de Poisson. Zbl 0446.31007Berline, Nicole; Vergne, Michele 1 1980 Restrictions and expansions of holomorphic representations. Zbl 0433.22011Jakobsen, Hans Plesner; Vergne, Michele 48 1979 Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006Kashiwara, M.; Vergne, M. 17 1979 On Rossmann’s character formula for discrete series. Zbl 0428.22010Vergne, M. 14 1979 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009Kashiwara, M.; Vergne, M. 169 1978 The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012Kashiwara, Masaki; Vergne, Michele 35 1978 Wave and Dirac operators, and representations of the conformal group. Zbl 0361.22012Jakobsen, Hans Plesner; Vergne, Michele 55 1977 Groupe symplectique et seconde quantification. Zbl 0386.22014Vergne, Michele 7 1977 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,804 Authors 49 Vergne, Michèle 21 Bismut, Jean-Michel 17 Ma, Xiaonan 16 Núñez-Valdés, Juan 16 Ørsted, Bent 15 Omirov, Bakhrom A. 14 Joseph, Anthony 14 Navarro, Rosa María 14 Ooms, Alfons I. 13 Alekseev, Anton Yu. 13 Duflo, Michel 13 Zhang, Weiping 12 Arnal, Didier 12 Gómez, José R. 12 Khakimdjanov, Yusupdjan 12 Mészáros, Karola 12 Paradan, Paul-Emile 11 Braverman, Maxim 11 Jakobsen, Hans Plesner 10 Camacho, Luisa Maria 10 Kobayashi, Toshiyuki 9 Hochs, Peter 9 Howe, Roger Evans 9 Ishi, Hideyuki 9 Libine, Matvei 9 Mathai, Varghese 9 Nishiyama, Kyo 9 Zhang, Genkai 9 Zhu, Chen-Bo 8 Benameur, Moulay-Tahar 8 Berline, Nicole 8 Kim, Heeyeon 8 Ludewig, Matthias 8 Nomura, Takaaki 8 Ólafsson, Gestur 8 Sternberg, Shlomo 8 Wu, Siye 7 Baldoni-Silva, Maria Welleda 7 Closset, Cyril 7 Ferreiro Pérez, Roberto 7 Fujiwara, Hidenori 7 Kudla, Stephen S. 7 Lasserre, Jean-Bernard 7 Lee, Soo Teck 7 Lott, John 7 Ludwig, Jean 7 Meinrenken, Eckhard 7 Millionshchikov, Dmitriĭ Vladimirovich 7 Ponge, Raphaël S. 7 Torasso, Pierre 7 Wang, Yong 7 Wolf, Joseph Albert 6 Avramidi, Ivan G. 6 Clerc, Jean-Louis 6 De Concini, Corrado 6 de Gosson, Maurice Alexis 6 De Loera, Jesús A. 6 Gorokhovsky, Alexander 6 Guillemin, Victor W. 6 Hajli, Mounir 6 Hilgert, Joachim 6 Khudoyberdiyev, Abror Kh. 6 Liu, Bo 6 Loizides, Yiannis 6 Mickelsson, Jouko 6 Morales, Alejandro H. 6 Neretin, Yuriĭ Aleksandrovich 6 Paycha, Sylvie 6 Piazza, Paolo 6 Procesi, Claudio 6 Song, Yanli 6 Spera, Mauro 6 Torossian, Charles 6 Vargas, Jorge Antonio 6 Wang, Hang 6 Yau, Stephen Shing-Toung 5 Ancochea Bermúdez, José María 5 Baklouti, Ali 5 Bei, Francesco 5 Bunke, Ulrich 5 Campoamor-Stursberg, Rutwig 5 Ceballos, Manuel 5 Charbonnel, Jean-Yves 5 Cho, Yunhyung 5 Davidson, Mark Gregory 5 Farsi, Carla 5 Fialowski, Alice 5 Garoufalidis, Stavros 5 Godinho, Leonor 5 Goze, Michel 5 Harris, Michael Howard 5 Harris, Pamela E. 5 Jiménez-Merchán, Antonio 5 Karshon, Yael 5 Koufany, Khalid 5 Léandre, Rémi 5 Leichtnam, Eric 5 Lesch, Matthias 5 Li, Jian-Shu 5 Lipsman, Ronald L. ...and 1,704 more Authors all top 5 Cited in 279 Serials 141 Journal of Functional Analysis 129 Journal of Geometry and Physics 71 Transactions of the American Mathematical Society 68 Advances in Mathematics 64 Communications in Mathematical Physics 64 Journal of Algebra 49 Journal of High Energy Physics 42 Journal of Mathematical Physics 41 Duke Mathematical Journal 38 Mathematische Annalen 35 Annales de l’Institut Fourier 35 Annales Scientifiques de l’École Normale Supérieure. 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Symmetry, Integrability and Geometry: Methods and Applications 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 The Annals of Probability 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Theoretical Computer Science ...and 179 more Serials all top 5 Cited in 57 Fields 472 Global analysis, analysis on manifolds (58-XX) 469 Topological groups, Lie groups (22-XX) 403 Differential geometry (53-XX) 334 Nonassociative rings and algebras (17-XX) 297 Quantum theory (81-XX) 189 Algebraic geometry (14-XX) 174 Several complex variables and analytic spaces (32-XX) 162 Number theory (11-XX) 151 Manifolds and cell complexes (57-XX) 126 Abstract harmonic analysis (43-XX) 108 Convex and discrete geometry (52-XX) 103 \(K\)-theory (19-XX) 103 Partial differential equations (35-XX) 93 Functional analysis (46-XX) 89 Combinatorics (05-XX) 77 Group theory and generalizations (20-XX) 73 Algebraic topology (55-XX) 71 Associative rings and algebras (16-XX) 69 Dynamical systems and ergodic theory (37-XX) 52 Operator theory (47-XX) 39 Relativity and gravitational theory (83-XX) 33 Commutative algebra (13-XX) 32 Probability theory and stochastic processes (60-XX) 26 Special functions (33-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Functions of a complex variable (30-XX) 24 Computer science (68-XX) 18 Numerical analysis (65-XX) 18 Mechanics of particles and systems (70-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Category theory; homological algebra (18-XX) 15 Approximations and expansions (41-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Integral transforms, operational calculus (44-XX) 12 Potential theory (31-XX) 11 Statistics (62-XX) 11 Operations research, mathematical programming (90-XX) 10 Information and communication theory, circuits (94-XX) 9 Geometry (51-XX) 8 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Measure and integration (28-XX) 4 History and biography (01-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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