×
Author ID: vergne.michele Recent zbMATH articles by "Vergne, Michèle"
Published as: Vergne, Michèle; Vergne, M.; Vergne, Michele; M., Vergne
Homepage: https://webusers.imj-prg.fr/~michele.vergne/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
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

Publications by Year

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 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. B
11 Reviews in Mathematical Physics
11 Journal of Soviet Mathematics
11 Discrete & Computational Geometry
11 Selecta Mathematica. New Series
11 Geometry & Topology
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Journal of Lie Theory
9 Communications in Algebra
9 Acta Mathematica
9 Journal of Pure and Applied Algebra
9 Bulletin of the American Mathematical Society. New Series
9 Journal of Algebraic Combinatorics
9 Science China. Mathematics
8 Theoretical and Mathematical Physics
8 Geometric and Functional Analysis. GAFA
8 Journal of the Institute of Mathematics of Jussieu
8 International Journal of Geometric Methods in Modern Physics
7 Journal of the Mathematical Society of Japan
7 Advances in Applied Mathematics
7 Journal of Symbolic Computation
7 Journal of Mathematical Sciences (New York)
7 The Electronic Journal of Combinatorics
7 Journal of the European Mathematical Society (JEMS)
7 Algebraic & Geometric Topology
7 Journal of Siberian Federal University. Mathematics & Physics
6 Journal d’Analyse Mathématique
6 Journal of Mathematical Analysis and Applications
6 Mathematical Notes
6 Geometriae Dedicata
6 Journal für die Reine und Angewandte Mathematik
6 Memoirs of the American Mathematical Society
6 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Séminaire Lotharingien de Combinatoire
6 Annals of Mathematics. Second Series
6 Acta Mathematica Sinica. English Series
6 Communications in Contemporary Mathematics
6 Central European Journal of Mathematics
6 Proceedings of the Steklov Institute of Mathematics
5 Physics Letters. B
5 Rocky Mountain Journal of Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Computation
5 Journal of Differential Equations
5 Mathematische Nachrichten
5 Results in Mathematics
5 Siberian Mathematical Journal
5 Acta Applicandae Mathematicae
5 \(K\)-Theory
5 Forum Mathematicum
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Indagationes Mathematicae. New Series
5 Algebras and Representation Theory
5 Japanese Journal of Mathematics. 3rd Series
5 Algebraic Combinatorics
4 The Annals of Probability
4 Publications Mathématiques
4 Journal of Combinatorial Theory. Series A
4 Journal of Differential Geometry
4 Monatshefte für Mathematik
4 Pacific Journal of Mathematics
4 Tôhoku Mathematical Journal. 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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.