Edit Profile (opens in new tab) Vergne, Michèle Co-Author Distance Author ID: vergne.michele Published as: Vergne, Michèle; Vergne, M.; Vergne, Michele; M., Vergne more...less Homepage: https://webusers.imj-prg.fr/~michele.vergne/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 161 Publications since 1966, including 8 Books and 14 Additional arXiv Preprints 16 Contributions as Editor Co-Authors: 58 Co-Authors with 131 Joint Publications 1,782 Co-Co-Authors all top 5 Co-Authors 45 single-authored 31 Berline, Nicole 20 Baldoni-Silva, Maria Welleda 16 Duflo, Michel 12 Paradan, Paul-Emile 8 Brion, Michel 8 Rossi, Hugo 7 Köppe, Matthias 7 Kumar, Shrawan 6 Carmona, Jacques 6 De Loera, Jesús A. 6 Joseph, Anthony 6 Kostant, Bertram 6 Walter, Michael 5 De Concini, Corrado 5 Kashiwara, Masaki 5 Procesi, Claudio 4 Szenes, András 3 Boysal, Arzu 3 Dixmier, Jacques 2 Beck, Matthias 2 Delorme, Patrick 2 Dutra, Brandon E. 2 Getzler, Ezra 2 Jakobsen, Hans Plesner 2 Lion, Gerard 2 Rosenberg, Jonathan Micah 1 Baez, John C. 1 Baldoni-Silva, Welleda 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 Claire 1 Kadison, Richard Vincent 1 Kahane, Jean-Pierre 1 Korányi, Adam 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 Vern’, Misel’ 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 International Journal of Mathematics 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 Pure and Applied Mathematics Quarterly 1 Astérisque 1 Contemporary Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 Algebraic Combinatorics 1 Grundlehren Text Editions all top 5 Fields 60 Topological groups, Lie groups (22-XX) 33 Global analysis, analysis on manifolds (58-XX) 32 Nonassociative rings and algebras (17-XX) 30 Differential geometry (53-XX) 24 Convex and discrete geometry (52-XX) 18 Abstract harmonic analysis (43-XX) 17 Algebraic geometry (14-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Manifolds and cell complexes (57-XX) 14 Algebraic topology (55-XX) 13 \(K\)-theory (19-XX) 11 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 11 Number theory (11-XX) 10 History and biography (01-XX) 9 Quantum theory (81-XX) 7 Functional analysis (46-XX) 7 Computer science (68-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-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 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 2,976 times in 2,187 Documents Cited by ▼ Year ▼ Heat kernels and Dirac operators. Zbl 0744.58001 Berline, Nicole; Getzler, Ezra; Vergne, Michèle 419 1992 Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015 Berline, Nicole; Getzler, Ezra; Vergne, Michèle 227 2004 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009 Kashiwara, M.; Vergne, M. 190 1978 Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. Zbl 0244.17011 Vergne, Michele 138 1970 The Weil representation, Maslov index and theta series. Zbl 0444.22005 Lion, Gérard; Vergne, Michèle 136 1980 Représentations des groupes de Lie resolubles. Zbl 0248.22012 Bernat, P.; Conze, N.; Duflo, M.; Levy-Nahas, M.; Rais, M.; Renouard, P.; Vergne, M. 106 1972 Analytic continuation of the holomorphic discrete series of a semi-simple Lie group. Zbl 0356.32020 Vergne, M.; Rossi, H. 99 1976 Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020 Berline, Nicole; Vergne, Michele 94 1982 Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007 Berline, Nicole; Vergne, Michele 71 1983 Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue. Zbl 0945.32003 Brion, Michel; Vergne, Michèle 57 1999 Wave and Dirac operators, and representations of the conformal group. Zbl 0361.22012 Jakobsen, Hans Plesner; Vergne, Michele 56 1977 Residue formulae, vector partition functions and lattice points in rational polytopes. Zbl 0926.52016 Brion, Michel; Vergne, Michèle 54 1997 Restrictions and expansions of holomorphic representations. Zbl 0433.22011 Jakobsen, Hans Plesner; Vergne, Michele 52 1979 Lattice points in simple polytopes. Zbl 0871.52009 Brion, Michel; Vergne, Michèle 50 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 0279.32019 Rossi, Hugo; Vergne, Michele 47 1973 Toric reduction and a conjecture of Batyrev and Materov. Zbl 1067.14036 Szenes, András; Vergne, Michèle 38 2004 The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012 Kashiwara, Masaki; Vergne, Michele 37 1978 La structure de Poisson sur l’algébre symétrique d’une algèbre de Lie nilpotente. Zbl 0256.17002 Vergne, Michele 36 1972 How to integrate a polynomial over a simplex. Zbl 1216.68120 Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 35 2011 Kostant partitions functions and flow polytopes. Zbl 1200.52008 Baldoni, Welleda; Vergne, Michèle 35 2008 Une propriété de la représentation coadjointe d’une algèbre de Lie. Zbl 0192.37402 Duflo, M.; Vergne, M. 32 1969 Sur le semi-centre du corps enveloppant d’une algèbre de Lie. Zbl 0293.17007 Rentschler, Rudolf; Vergne, Michele 32 1973 The equivariant index and Kirillov’s character formula. Zbl 0604.58046 Berline, Nicole; Vergne, Michele 32 1985 Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006 Berline, Nicole; Vergne, Michèle 30 2007 Réductibilité de la variété des algèbres de Lie nilpotentes. Zbl 0145.25902 Vergne, M. 30 1966 An equivariant Riemann-Roch theorem for complete, simplicial toric varieties. Zbl 0862.14006 Brion, Michel; Vergne, Michèle 30 1997 Residue formulae for vector partitions and Euler-Maclaurin sums. Zbl 1067.52014 Szenes, András; Vergne, Michèle 29 2003 The equivariant index of transversally elliptic operators. (L’indice équivariant des opérateurs transversalement elliptiques.) Zbl 0883.58037 Berline, Nicole; Vergne, Michèle 28 1996 Sur la représentation coadjointe d’une algèbre de Lie. Zbl 0296.17009 Dixmier, J.; Duflo, M.; Vergne, M. 28 1974 Projection d’orbites, formule de Kirillov et formule de Blattner. (Projection of orbits, Kirillov formula, and Blattner formula). Zbl 0575.22014 Duflo, Michel; Heckman, Gerrit; Vergne, Michèle 26 1984 The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037 Berline, Nicole; Vergne, Michèle 25 1996 A computation of the equivariant index of the Dirac operator. Zbl 0592.58044 Berline, Nicole; Vergne, Michèle 23 1985 Applications of equivariant cohomology. Zbl 1123.19004 Vergne, Michèle 22 2007 Counting integer flows in networks. Zbl 1083.68640 Baldoni-Silva, W.; de Loera, J. A.; Vergne, M. 22 2004 Equivariant index formulas for orbifolds. Zbl 0874.57029 Vergne, Michele 20 1996 Construction de sous-algèbres subordonnées a un élément du dual d’une algèbre de Lie résoluble. Zbl 0209.06702 Vergne, M. 18 1970 Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001 Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele 18 2006 Vector partition functions and index of transversally elliptic operators. Zbl 1223.58014 De Concini, C.; Procesi, C.; Vergne, M. 17 2010 Vector partition functions and generalized Dahmen and Micchelli spaces. Zbl 1223.58015 De Concini, C.; Procesi, C.; Vergne, M. 17 2010 Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006 Kashiwara, M.; Vergne, M. 17 1979 Instantons and Kostant-Sekiguchi correspondence. (Instantons et correspondance de Kostant-Sekiguchi.) Zbl 0833.22010 Vergne, Michèle 16 1995 Multiplicities formula for geometric quantization. I. Zbl 0855.58033 Vergne, Michele 16 1996 On Rossmann’s character formula for discrete series. Zbl 0428.22010 Vergne, M. 16 1979 Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035 Paradan, Paul-Emile; Vergne, Michèle 15 2017 Index of transversally elliptic operators. Zbl 1209.19003 Paradan, Paul-Émile; Vergne, Michèle 15 2009 Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Zbl 1255.05006 Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M. 14 2012 Equations de Hua et noyau de Poisson. Zbl 0521.32024 Berline, Nicole; Vergne, Michele 13 1981 Equations de Cauchy-Riemann tangentielles associees à un domaine de Siegel. Zbl 0398.32018 Rossi, H.; Vergne, M. 12 1976 Geometric quantization and equivariant cohomology. Zbl 0827.58020 Vergne, Michèle 11 1994 Study on certain induced representations of an exponential solvable Lie group. (Étude de certaines représentations induites d’un groupe de Lie résoluble exponentiel.) Zbl 0221.22014 Vergne, Michèle 11 1970 The Plancherel formula for real semisimple Lie groups. (La formule de Plancherel des groupes de Lie semi-simples réels.) Zbl 0759.22017 Duflo, Michel; Vergne, Michèle 11 1988 Quantification géométrique et réduction symplectique. (Geometric quantization and symplectic reduction). Zbl 1037.53062 Vergne, Michèle 11 2002 Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010 Berline, Nicole; Vergne, Michele 10 1983 A note on the Jeffrey-Kirwan-Witten localisation formula. Zbl 0862.57019 Vergne, Michèle 10 1996 Multiplicities formula for geometric quantization. II. Zbl 0855.58034 Vergne, Michele 10 1996 Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006 Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M. 10 2013 A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030 Berline, Nicole; Vergne, Michèle 9 1987 A Poisson-Plancherel formula for semi-simple Lie groups. Zbl 0501.43006 Vergne, Michele 9 1982 Infinitesimal index: cohomology computations. Zbl 1248.58014 De Concini, C.; Procesi, C.; Vergne, M. 9 2011 Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015 Paradan, Paul-Emile; Vergne, Michèle 9 2019 Box splines and the equivariant index theorem. Zbl 1273.65017 De Concini, C.; Procesi, C.; Vergne, M. 9 2013 The infinitesimal index. Zbl 1344.19004 De Concini, C.; Procesi, C.; Vergne, M. 9 2013 Representations of Lie groups and the orbit method. Zbl 0525.22011 Vergne, Michele 8 1983 The center of the enveloping algebra and the Campbell-Hausdorff formula. (Le centre de l’algèbre enveloppante et la formule de Campbell-Hausdorff.) Zbl 0989.17007 Vergne, Michèle 8 1999 Construction de sous-algèbres subordonnées à un élément du dual d’une algèbre de résoluble. Zbl 0209.06701 Vergne, M. 8 1970 Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator. Zbl 1186.52006 Boysal, Arzu; Vergne, Michèle 8 2009 Harmonically induced representations of solvable Lie groups. Zbl 0602.22008 Rosenberg, Jonathan; Vergne, Michèle 8 1985 Convex polytopes and quantization of symplectic manifolds. Zbl 0864.58022 Vergne, Michèle 8 1996 Idéaux primitifs des algèbres enveloppantes des algèbres de Lie résolubles. Zbl 0211.35801 Conze, N.; Vergne, M. 7 1971 Inequalities for moment cones of finite-dimensional representations. Zbl 1390.53095 Vergne, Michèle; Walter, Michael 7 2017 Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes. Zbl 1122.11065 Vergne, Michèle 7 2003 Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. Zbl 0244.17010 Vergne, Michele 7 1968 Joseph polynomials and Springer representation. (Polynômes de Joseph et représentation de Springer.) Zbl 0718.22009 Vergne, Michèle 7 1990 Groupe symplectique et seconde quantification. Zbl 0386.22014 Vergne, Michele 7 1977 Equivariante cohomology and descent. II. (Cohomologie équivariante et méthode de descente. II.) Zbl 0805.57022 Duflo, Michel; Vergne, Michèle 7 1993 Computation of dilated Kronecker coefficients. Zbl 1388.13016 Baldoni, V.; Vergne, M.; Walter, M. 7 2018 The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058 Berline, Nicole; Vergne, Michèle 6 2007 Kirillov’s formula and Guillemin-Sternberg conjecture. Zbl 1230.22005 Duflo, Michel; Vergne, Michèle 6 2011 Group representations on Hilbert spaces defined in terms of \(\overline\partial_b\)-cohomology on the Silov boundary of a Siegel domain. Zbl 0354.22018 Rossi, H.; Vergne, M. 6 1976 Orbites coadjointes et cohomologie équivariante. (Coadjoint orbits and equivariant cohomology). Zbl 0741.22008 Duflo, Michel; Vergne, Michèle 6 1990 K-types and singular spectrum. Zbl 0411.22015 Kashiwara, M.; Vergne, M. 6 1979 Geometric quantization and multiplicities. (Quantification géométrique et multiplicités.) Zbl 0814.58020 Vergne, Michèle 6 1994 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 La structure de Poisson sur l’algèbre symétrique d’une algèbre de Lie nilpotente. Zbl 0204.35902 Vergne, Michèle 6 1969 Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013 Paradan, P.-E.; Vergne, M. 6 2018 Arrangement of hyperplanes. II: The Szenes formula and Eisenstein series. Zbl 0968.32016 Brion, Michel; Vergne, Michèle 5 2000 Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026 Berline, Nicole; Vergne, Michèle 5 2016 Sur le foncteur de Zuckerman. (On Zuckerman’s functor). Zbl 0617.17007 Duflo, Michel; Vergne, Michèle 5 1987 A homotopy for a complex of free Lie algebras. Zbl 1318.17011 Vergne, Michèle 5 2012 \([Q,R]=0\) and Kostant partition functions. Zbl 1409.81068 Szenes, András; Vergne, Michèle 5 2017 Multiple Bernoulli series, an Euler-Maclaurin formula, and wall crossings. Zbl 1251.14023 Boysal, Arzu; Vergne, Michèle 4 2012 Morris identities and the total residue for a system of type \(A_r\). Zbl 1097.33011 Baldoni-Silva, Velleda; Vergne, Michèle 4 2004 Formal equivariant \( \hat A\) class, splines and multiplicities of the index of transversally elliptic operators. Zbl 1362.19005 Vergne, M. 4 2016 Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032 Paradan, Paul-Émile; Vergne, Michèle 4 2018 Existence de polarisations positives dans les algèbres de Lie. Zbl 0249.17016 Vergne, Michele; Wolf, Joseph 3 1972 Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Zbl 1162.52008 Baldoni, Velleda; Berline, Nicole; Vergne, Michèle 3 2008 Sur l’indice des opérateurs transversalement elliptiques. (On the index of transversally elliptic operators). Zbl 0693.58022 Vergne, Michèle 3 1990 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). (Sur la cohomologie équivariante des variétés différentiables. (I: M. Duflo et M. Vergne, Cohomologie équivariante et descente. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients).) Zbl 0830.57001 Duflo, Michel; Kumar, Shrawan; Vergne, Michèle 3 1993 The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032 Berline, Nicole; Vergne, Michèle 3 1993 Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005 Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 3 2016 Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015 Paradan, Paul-Emile; Vergne, Michèle 9 2019 Three Ehrhart quasi-polynomials. Zbl 1419.52014 Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 1 2019 Computation of dilated Kronecker coefficients. Zbl 1388.13016 Baldoni, V.; Vergne, M.; Walter, M. 7 2018 Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013 Paradan, P.-E.; Vergne, M. 6 2018 Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032 Paradan, Paul-Émile; Vergne, Michèle 4 2018 Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035 Paradan, Paul-Emile; Vergne, Michèle 15 2017 Inequalities for moment cones of finite-dimensional representations. Zbl 1390.53095 Vergne, Michèle; Walter, Michael 7 2017 \([Q,R]=0\) and Kostant partition functions. Zbl 1409.81068 Szenes, András; Vergne, Michèle 5 2017 The Horn inequalities from a geometric point of view. Zbl 1405.22017 Berline, Nicole; Vergne, Michèle; Walter, Michael 2 2017 The equivariant Riemann-Roch theorem and the graded Todd class. (Le théorème de Riemann-Roch équivariant et la classe de Todd graduée.) Zbl 1414.53081 Vergne, Michèle 1 2017 Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026 Berline, Nicole; Vergne, Michèle 5 2016 Formal equivariant \( \hat A\) class, splines and multiplicities of the index of transversally elliptic operators. Zbl 1362.19005 Vergne, M. 4 2016 Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005 Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 3 2016 Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. Zbl 1323.11014 Baldoni, Velleda; Boysal, Arzu; Vergne, Michèle 2 2015 Coefficients of Sylvester’s denumerant. Zbl 1318.05004 Baldoni, 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. (Multiplicitiés de l’indice équivariant de l’opérateur de Dirac twisté.) Zbl 1319.53045 Paradan, Paul-Émile; Vergne, Michèle 6 2014 Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006 Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M. 10 2013 Box splines and the equivariant index theorem. Zbl 1273.65017 De Concini, C.; Procesi, C.; Vergne, M. 9 2013 The infinitesimal index. Zbl 1344.19004 De Concini, C.; Procesi, C.; Vergne, M. 9 2013 Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. Zbl 1255.05006 Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M. 14 2012 A homotopy for a complex of free Lie algebras. Zbl 1318.17011 Vergne, Michèle 5 2012 Multiple Bernoulli series, an Euler-Maclaurin formula, and wall crossings. Zbl 1251.14023 Boysal, Arzu; Vergne, Michèle 4 2012 Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003 Berline, Nicole; Vergne, Michèle 2 2012 A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes. Zbl 1251.52007 Dickenstein, Alicia; Nill, Benjamin; Vergne, Michèle 1 2012 How to integrate a polynomial over a simplex. Zbl 1216.68120 Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle 35 2011 Infinitesimal index: cohomology computations. Zbl 1248.58014 De Concini, C.; Procesi, C.; Vergne, M. 9 2011 Kirillov’s formula and Guillemin-Sternberg conjecture. Zbl 1230.22005 Duflo, Michel; Vergne, Michèle 6 2011 A remark on the convolution with the box spline. Zbl 1248.41024 Vergne, Michèle 1 2011 Vector partition functions and index of transversally elliptic operators. Zbl 1223.58014 De Concini, C.; Procesi, C.; Vergne, M. 17 2010 Vector partition functions and generalized Dahmen and Micchelli spaces. Zbl 1223.58015 De Concini, C.; Procesi, C.; Vergne, M. 17 2010 Index of transversally elliptic operators. Zbl 1209.19003 Paradan, Paul-Émile; Vergne, Michèle 15 2009 Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator. Zbl 1186.52006 Boysal, Arzu; Vergne, Michèle 8 2009 Quillen’s relative Chern character. Zbl 1207.19004 Paradan, Paul-Emile; Vergne, Michèle 1 2009 Kostant partitions functions and flow polytopes. Zbl 1200.52008 Baldoni, Welleda; Vergne, Michèle 35 2008 Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Zbl 1162.52008 Baldoni, Velleda; Berline, Nicole; Vergne, Michèle 3 2008 Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006 Berline, Nicole; Vergne, Michèle 30 2007 Applications of equivariant cohomology. Zbl 1123.19004 Vergne, Michèle 22 2007 The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058 Berline, Nicole; Vergne, Michèle 6 2007 Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001 Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele 18 2006 Mixed toric residues and tropical degenerations. Zbl 1098.14027 Szenes, András; Vergne, Michèle 2 2006 Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015 Berline, Nicole; Getzler, Ezra; Vergne, Michèle 227 2004 Toric reduction and a conjecture of Batyrev and Materov. Zbl 1067.14036 Szenes, András; Vergne, Michèle 38 2004 Counting integer flows in networks. Zbl 1083.68640 Baldoni-Silva, W.; de Loera, J. A.; Vergne, M. 22 2004 Morris identities and the total residue for a system of type \(A_r\). Zbl 1097.33011 Baldoni-Silva, Velleda; Vergne, Michèle 4 2004 Residue formulae for vector partitions and Euler-Maclaurin sums. Zbl 1067.52014 Szenes, András; Vergne, Michèle 29 2003 Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes. Zbl 1122.11065 Vergne, Michèle 7 2003 Equivariant cohomology and Stokes theorem (edited by Sylvie Paycha). (Cohomologie équivariante et théorème de Stokes (rédigé par Sylvie Paycha).) Zbl 1045.57021 Vergne, Michèle 1 2003 Quantification géométrique et réduction symplectique. (Geometric quantization and symplectic reduction). Zbl 1037.53062 Vergne, Michèle 11 2002 Arrangement of hyperplanes. II: The Szenes formula and Eisenstein series. Zbl 0968.32016 Brion, Michel; Vergne, Michèle 5 2000 Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue. Zbl 0945.32003 Brion, Michel; Vergne, Michèle 57 1999 The center of the enveloping algebra and the Campbell-Hausdorff formula. (Le centre de l’algèbre enveloppante et la formule de Campbell-Hausdorff.) Zbl 0989.17007 Vergne, Michèle 8 1999 Irving Ezra Segal (1918–1998). Zbl 1194.01056 Baez, 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 0906.22013 Vergne, Michèle 2 1998 Residue formulae, vector partition functions and lattice points in rational polytopes. Zbl 0926.52016 Brion, Michel; Vergne, Michèle 54 1997 Lattice points in simple polytopes. Zbl 0871.52009 Brion, Michel; Vergne, Michèle 50 1997 An equivariant Riemann-Roch theorem for complete, simplicial toric varieties. Zbl 0862.14006 Brion, Michel; Vergne, Michèle 30 1997 The equivariant index of transversally elliptic operators. (L’indice équivariant des opérateurs transversalement elliptiques.) Zbl 0883.58037 Berline, Nicole; Vergne, Michèle 28 1996 The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037 Berline, Nicole; Vergne, Michèle 25 1996 Equivariant index formulas for orbifolds. Zbl 0874.57029 Vergne, Michele 20 1996 Multiplicities formula for geometric quantization. I. Zbl 0855.58033 Vergne, Michele 16 1996 A note on the Jeffrey-Kirwan-Witten localisation formula. Zbl 0862.57019 Vergne, Michèle 10 1996 Multiplicities formula for geometric quantization. II. Zbl 0855.58034 Vergne, Michele 10 1996 Convex polytopes and quantization of symplectic manifolds. Zbl 0864.58022 Vergne, Michèle 8 1996 An Euler-MacLaurin formula for rational convex polytopes. (Une formule d’Euler-MacLaurin pour les polytopes convexes rationnels.) Zbl 0870.52004 Brion, Michel; Vergne, Michèle 1 1996 An Euler-Maclaurin formula for partition functions. (Une formule d’Euler-Maclaurin pour les fonctions de partition.) Zbl 0869.65004 Brion, Michel; Vergne, Michèle 1 1996 Instantons and Kostant-Sekiguchi correspondence. (Instantons et correspondance de Kostant-Sekiguchi.) Zbl 0833.22010 Vergne, Michèle 16 1995 Geometric quantization and equivariant cohomology. Zbl 0827.58020 Vergne, Michèle 11 1994 Geometric quantization and multiplicities. (Quantification géométrique et multiplicités.) Zbl 0814.58020 Vergne, Michèle 6 1994 Equivariante cohomology and descent. II. (Cohomologie équivariante et méthode de descente. II.) Zbl 0805.57022 Duflo, Michel; Vergne, Michèle 7 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). (Sur la cohomologie équivariante des variétés différentiables. (I: M. Duflo et M. Vergne, Cohomologie équivariante et descente. II: S. Kumar and M. Vergne, Equivariant cohomology with generalized coefficients).) Zbl 0830.57001 Duflo, Michel; Kumar, Shrawan; Vergne, Michèle 3 1993 The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032 Berline, Nicole; Vergne, Michèle 3 1993 Equivariant cohomology and descent. I. (Cohomologie équivariante et méthode de descente. I.) Zbl 0795.57014 Duflo, Michel; Vergne, Michèle 2 1993 Equivariant index and character of an induced representation. (Indice équivariant et caractère d’une représentation induite.) Zbl 0793.58033 Berline, Nicole; Vergne, Michèle 2 1993 Heat kernels and Dirac operators. Zbl 0744.58001 Berline, Nicole; Getzler, Ezra; Vergne, Michèle 419 1992 Joseph polynomials and Springer representation. (Polynômes de Joseph et représentation de Springer.) Zbl 0718.22009 Vergne, Michèle 7 1990 Orbites coadjointes et cohomologie équivariante. (Coadjoint orbits and equivariant cohomology). Zbl 0741.22008 Duflo, Michel; Vergne, Michèle 6 1990 Sur l’indice des opérateurs transversalement elliptiques. (On the index of transversally elliptic operators). Zbl 0693.58022 Vergne, Michèle 3 1990 The Plancherel formula for real semisimple Lie groups. (La formule de Plancherel des groupes de Lie semi-simples réels.) Zbl 0759.22017 Duflo, Michel; Vergne, Michèle 11 1988 A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030 Berline, Nicole; Vergne, Michèle 9 1987 Sur le foncteur de Zuckerman. (On Zuckerman’s functor). Zbl 0617.17007 Duflo, Michel; Vergne, Michèle 5 1987 The equivariant index and Kirillov’s character formula. Zbl 0604.58046 Berline, Nicole; Vergne, Michele 32 1985 A computation of the equivariant index of the Dirac operator. Zbl 0592.58044 Berline, Nicole; Vergne, Michèle 23 1985 Harmonically induced representations of solvable Lie groups. Zbl 0602.22008 Rosenberg, Jonathan; Vergne, Michèle 8 1985 Projection d’orbites, formule de Kirillov et formule de Blattner. (Projection of orbits, Kirillov formula, and Blattner formula). Zbl 0575.22014 Duflo, Michel; Heckman, Gerrit; Vergne, Michèle 26 1984 Formule de Kirillov et indice de l’opérateur de Dirac. (Kirillov formula and index of the Dirac operator). Zbl 0597.58033 Vergne, Michèle 1 1984 Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007 Berline, Nicole; Vergne, Michele 71 1983 Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010 Berline, Nicole; Vergne, Michele 10 1983 Representations of Lie groups and the orbit method. Zbl 0525.22011 Vergne, Michele 8 1983 Non commutative harmonic analysis and Lie groups. Proceedings of the International Conference, held in Marseille Luminy, 21-26 June, 1982. Zbl 0511.00012 1 1983 Weil representation, Maslov index and theta series. (Predstavlenie Vejlya, indeks Maslova i tehta-ryady). Transl. from the English. Zbl 0542.22012 Lion, Gérard; Vergne, Michèle 1 1983 Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020 Berline, Nicole; Vergne, Michele 94 1982 A Poisson-Plancherel formula for semi-simple Lie groups. Zbl 0501.43006 Vergne, Michele 9 1982 Equations de Hua et noyau de Poisson. Zbl 0521.32024 Berline, Nicole; Vergne, Michele 13 1981 The Weil representation, Maslov index and theta series. Zbl 0444.22005 Lion, Gérard; Vergne, Michèle 136 1980 Equations de Hua et intégrales de Poisson. Zbl 0446.31007 Berline, Nicole; Vergne, Michele 1 1980 Restrictions and expansions of holomorphic representations. Zbl 0433.22011 Jakobsen, Hans Plesner; Vergne, Michele 52 1979 Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006 Kashiwara, M.; Vergne, M. 17 1979 On Rossmann’s character formula for discrete series. Zbl 0428.22010 Vergne, M. 16 1979 K-types and singular spectrum. Zbl 0411.22015 Kashiwara, M.; Vergne, M. 6 1979 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009 Kashiwara, M.; Vergne, M. 190 1978 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,066 Authors 49 Vergne, Michèle 24 Bismut, Jean-Michel 22 Ma, Xiaonan 18 Mészáros, Karola 17 Núñez-Valdés, Juan 17 Omirov, Bakhrom A. 17 Ørsted, Bent 16 Navarro, Rosa María 15 Alekseev, Anton Yur’evich 15 Ooms, Alfons I. 15 Zhang, Weiping 14 Jakobsen, Hans Plesner 14 Joseph, Anthony 13 Duflo, Michel 13 Gómez, José R. 13 Khakimdjanov, Yusupdjan Bakimdjanovich 13 Paradan, Paul-Emile 13 Zhang, Genkai 12 Arnal, Didier 12 Braverman, Maxim 12 Hochs, Peter 12 Kobayashi, Toshiyuki 12 Ludewig, Matthias 11 Camacho, Luisa Maria 11 Mathai, Varghese 11 Paycha, Sylvie 10 Berline, Nicole 10 Ludwig, Jean 9 Benameur, Moulay-Tahar 9 Fujiwara, Hidenori 9 Howe, Roger Evans 9 Ishi, Hideyuki 9 Libine, Matvei 9 Loizides, Yiannis 9 Nishiyama, Kyo 9 Ólafsson, Gestur 9 Wang, Hang 9 Zhu, Chen-Bo 8 Clerc, Jean-Louis 8 Closset, Cyril 8 Ferreiro Pérez, Roberto 8 Guillemin, Victor W. 8 Kim, Heeyeon 8 Lee, Soo Teck 8 Liu, Bo 8 Meinrenken, Eckhard 8 Millionshchikov, Dmitriĭ Vladimirovich 8 Morales, Alejandro Henry 8 Nomura, Takaaki 8 Sternberg, Shlomo 8 Wu, Siye 7 Baldoni-Silva, Maria Welleda 7 Bunke, Ulrich 7 Farsi, Carla 7 Frahm, Jan 7 Kudla, Stephen S. 7 Lasserre, Jean-Bernard 7 Liu, Fu 7 Lott, John 7 Piazza, Paolo 7 Ponge, Raphaël S. 7 Torasso, Pierre 7 van Suijlekom, Walter Daniël 7 Vertman, Boris 7 Wang, Yong 7 Wolf, Joseph Albert 6 Avramidi, Ivan G. 6 Baklouti, Ali 6 Campoamor-Stursberg, Rutwig 6 De Concini, Corrado 6 de Gosson, Maurice Alexis 6 Fialowski, Alice 6 Gorokhovsky, Alexander 6 Hajli, Mounir 6 Hilgert, Joachim 6 Ioos, Louis 6 Jeffrey, Lisa Claire 6 Khudoyberdiyev, Abror Kh. 6 Koufany, Khalid 6 Lipsman, Ronald L. 6 Marklof, Jens 6 Mickelsson, Jouko 6 Neretin, Yuriĭ Aleksandrovich 6 Procesi, Claudio 6 Rochon, Frédéric 6 Rosenberg, Steven 6 Sahi, Siddhartha 6 Shishkina, Ol’ga Andreevna 6 Song, Yanli 6 Spera, Mauro 6 Torossian, Charles 6 Vargas, Jorge Antonio 6 Walter, Michael 6 Yau, Stephen Shing-Toung 6 Yoshida, Yutaka 6 Zhang, Bin 5 Abdelmoula, Lobna 5 Ancochea Bermúdez, José María 5 Baldare, Alexandre 5 Beck, Matthias ...and 1,966 more Authors all top 5 Cited in 326 Serials 146 Journal of Functional Analysis 127 Journal of Geometry and Physics 77 Advances in Mathematics 77 Transactions of the American Mathematical Society 75 Communications in Mathematical Physics 67 Journal of Algebra 64 Journal of High Energy Physics 44 Journal of Mathematical Physics 42 Duke Mathematical Journal 41 Mathematische Annalen 38 Annales de l’Institut Fourier 38 Mathematische Zeitschrift 35 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 32 Letters in Mathematical Physics 32 Compositio Mathematica 32 Inventiones Mathematicae 28 Differential Geometry and its Applications 28 Transformation Groups 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 International Journal of Mathematics 23 Proceedings of the American Mathematical Society 22 The Journal of Geometric Analysis 22 Representation Theory 21 Functional Analysis and its Applications 20 Journal of Noncommutative Geometry 19 Bulletin de la Société Mathématique de France 18 Journal of the American Mathematical Society 16 Journal of Number Theory 16 Proceedings of the Japan Academy. Series A 16 Linear Algebra and its Applications 15 Israel Journal of Mathematics 15 Journal of Physics A: Mathematical and Theoretical 13 Manuscripta Mathematica 13 Bulletin des Sciences Mathématiques 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Annals of Global Analysis and Geometry 11 Nuclear Physics. 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Second Series 4 Topology and its Applications 4 European Journal of Combinatorics ...and 226 more Serials all top 5 Cited in 59 Fields 552 Global analysis, analysis on manifolds (58-XX) 527 Topological groups, Lie groups (22-XX) 472 Differential geometry (53-XX) 377 Nonassociative rings and algebras (17-XX) 350 Quantum theory (81-XX) 227 Algebraic geometry (14-XX) 207 Several complex variables and analytic spaces (32-XX) 199 Number theory (11-XX) 174 Manifolds and cell complexes (57-XX) 140 Abstract harmonic analysis (43-XX) 132 Convex and discrete geometry (52-XX) 121 \(K\)-theory (19-XX) 117 Partial differential equations (35-XX) 115 Functional analysis (46-XX) 107 Combinatorics (05-XX) 95 Algebraic topology (55-XX) 92 Group theory and generalizations (20-XX) 84 Associative rings and algebras (16-XX) 84 Dynamical systems and ergodic theory (37-XX) 69 Operator theory (47-XX) 48 Relativity and gravitational theory (83-XX) 39 Probability theory and stochastic processes (60-XX) 38 Commutative algebra (13-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 30 Special functions (33-XX) 29 Functions of a complex variable (30-XX) 26 Numerical analysis (65-XX) 26 Computer science (68-XX) 26 Mechanics of particles and systems (70-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 21 Operations research, mathematical programming (90-XX) 19 Category theory; homological algebra (18-XX) 19 Integral transforms, operational calculus (44-XX) 19 Statistics (62-XX) 17 Approximations and expansions (41-XX) 16 Potential theory (31-XX) 14 Geometry (51-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Difference and functional equations (39-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Information and communication theory, circuits (94-XX) 8 Ordinary differential equations (34-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Measure and integration (28-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Systems theory; control (93-XX) 3 Sequences, series, summability (40-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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