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Vergne, Michèle

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Author ID: vergne.michele Recent zbMATH articles by "Vergne, Michèle"
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

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

Publications by Year

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 0744.58001
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
374
1992
Heat kernels and Dirac operators. Paperback ed. Zbl 1037.58015
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
197
2004
On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009
Kashiwara, M.; Vergne, M.
169
1978
The Weil representation, Maslov index and theta series. Zbl 0444.22005
Lion, Gérard; Vergne, Michèle
122
1980
Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. Zbl 0244.17011
Vergne, Michele
117
1970
Analytic continuation of the holomorphic discrete series of a semi-simple Lie group. Zbl 0356.32020
Vergne, M.; Rossi, H.
87
1976
Représentations des groupes de Lie resolubles. Zbl 0248.22012
Bernat, 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 0521.57020
Berline, Nicole; Vergne, Michele
72
1982
Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007
Berline, Nicole; Vergne, Michele
58
1983
Wave and Dirac operators, and representations of the conformal group. Zbl 0361.22012
Jakobsen, Hans Plesner; Vergne, Michele
55
1977
Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue. Zbl 0945.32003
Brion, Michel; Vergne, Michèle
48
1999
Restrictions and expansions of holomorphic representations. Zbl 0433.22011
Jakobsen, Hans Plesner; Vergne, Michele
48
1979
Residue formulae, vector partition functions and lattice points in rational polytopes. Zbl 0926.52016
Brion, Michel; Vergne, Michèle
45
1997
Lattice points in simple polytopes. Zbl 0871.52009
Brion, 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 0279.32019
Rossi, Hugo; Vergne, Michele
41
1973
The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012
Kashiwara, Masaki; Vergne, Michele
35
1978
Toric reduction and a conjecture of Batyrev and Materov. Zbl 1067.14036
Szenes, András; Vergne, Michèle
32
2004
Sur le semi-centre du corps enveloppant d’une algèbre de Lie. Zbl 0293.17007
Rentschler, Rudolf; Vergne, Michele
31
1973
La structure de Poisson sur l’algébre symétrique d’une algèbre de Lie nilpotente. Zbl 0256.17002
Vergne, Michele
31
1972
Une propriété de la représentation coadjointe d’une algèbre de Lie. Zbl 0192.37402
Duflo, M.; Vergne, M.
29
1969
An equivariant Riemann-Roch theorem for complete, simplicial toric varieties. Zbl 0862.14006
Brion, Michel; Vergne, Michèle
28
1997
The equivariant index and Kirillov’s character formula. Zbl 0604.58046
Berline, Nicole; Vergne, Michele
28
1985
Sur la représentation coadjointe d’une algèbre de Lie. Zbl 0296.17009
Dixmier, J.; Duflo, M.; Vergne, M.
27
1974
Residue formulae for vector partitions and Euler–MacLaurin sums. Zbl 1067.52014
Szenes, András; Vergne, Michèle
26
2003
Réductibilité de la variété des algèbres de Lie nilpotentes. Zbl 0145.25902
Vergne, Michèle
26
1966
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
25
1984
How to integrate a polynomial over a simplex. Zbl 1216.68120
Baldoni, Velleda; Berline, Nicole; De Loera, Jesús A.; Köppe, Matthias; Vergne, Michèle
23
2011
Kostant partitions functions and flow polytopes. Zbl 1200.52008
Baldoni, Welleda; Vergne, Michèle
22
2008
Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006
Berline, Nicole; Vergne, Michèle
22
2007
The equivariant index of transversally elliptic operators. Zbl 0883.58037
Berline, Nicole; Vergne, Michèle
22
1996
A computation of the equivariant index of the Dirac operator. Zbl 0592.58044
Berline, Nicole; Vergne, Michèle
22
1985
The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037
Berline, Nicole; Vergne, Michèle
21
1996
Vector partition functions and generalized Dahmen and Micchelli spaces. Zbl 1223.58015
De Concini, C.; Procesi, C.; Vergne, M.
18
2010
Vector partition functions and index of transversally elliptic operators. Zbl 1223.58014
De Concini, C.; Procesi, C.; Vergne, M.
18
2010
Counting integer flows in networks. Zbl 1083.68640
Baldoni-Silva, W.; de Loera, J. A.; Vergne, M.
18
2004
Equivariant index formulas for orbifolds. Zbl 0874.57029
Vergne, Michele
17
1996
Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006
Kashiwara, M.; Vergne, M.
17
1979
Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001
Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele
16
2006
Multiplicities formula for geometric quantization. I. Zbl 0855.58033
Vergne, Michele
15
1996
Applications of equivariant cohomology. Zbl 1123.19004
Vergne, Michèle
14
2007
On Rossmann’s character formula for discrete series. Zbl 0428.22010
Vergne, M.
14
1979
Construction de sous-algèbres subordonnées a un élément du dual d’une algèbre de Lie résoluble. Zbl 0209.06702
Vergne, M.
14
1970
Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035
Paradan, Paul-Emile; Vergne, Michèle
13
2017
Instantons and Kostant-Sekiguchi correspondence. Zbl 0833.22010
Vergne, Michèle
13
1995
Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010
Berline, Nicole; Vergne, Michele
12
1983
Equations de Hua et noyau de Poisson. Zbl 0521.32024
Berline, Nicole; Vergne, Michele
12
1981
Equations de Cauchy-Riemann tangentielles associees à un domaine de Siegel. Zbl 0398.32018
Rossi, H.; Vergne, M.
12
1976
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.
11
2012
Equivariante cohomology and descent. II. Zbl 0805.57022
Duflo, Michel; Vergne, Michèle
11
1993
The Plancherel formula for real semisimple Lie groups. Zbl 0759.22017
Duflo, 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 0221.22014
Vergne, Michèle
11
1970
Construction de sous-algèbres subordonnées à un élément du dual d’une algèbre de résoluble. Zbl 0209.06701
Vergne, M.
10
1970
Box splines and the equivariant index theorem. Zbl 1273.65017
De Concini, C.; Procesi, C.; Vergne, M.
9
2013
Index of transversally elliptic operators. Zbl 1209.19003
Paradan, Paul-Émile; Vergne, Michèle
9
2009
Multiplicities formula for geometric quantization. II. Zbl 0855.58034
Vergne, Michele
9
1996
Geometric quantization and equivariant cohomology. Zbl 0827.58020
Vergne, Michèle
9
1994
The infinitesimal index. Zbl 1344.19004
De Concini, C.; Procesi, C.; Vergne, M.
8
2013
Infinitesimal index: cohomology computations. Zbl 1248.58014
De Concini, C.; Procesi, C.; Vergne, M.
8
2011
The center of the enveloping algebra and the Campbell-Hausdorff formula. Zbl 0989.17007
Vergne, Michèle
8
1999
A note on the Jeffrey-Kirwan-Witten localisation formula. Zbl 0862.57019
Vergne, Michèle
8
1996
Joseph polynomials and Springer representation. Zbl 0718.22009
Vergne, Michèle
8
1990
A proof of Bismut local index theorem for a family of Dirac operators. Zbl 0636.58030
Berline, Nicole; Vergne, Michèle
8
1987
A Poisson-Plancherel formula for semi-simple Lie groups. Zbl 0501.43006
Vergne, Michele
8
1982
The multiplicities of the equivariant index of twisted Dirac operators. Zbl 1319.53045
Paradan, Paul-Émile; Vergne, Michèle
7
2014
Orbites coadjointes et cohomologie équivariante. (Coadjoint orbits and equivariant cohomology). Zbl 0741.22008
Duflo, Michel; Vergne, Michèle
7
1990
Harmonically induced representations of solvable Lie groups. Zbl 0602.22008
Rosenberg, Jonathan; Vergne, Michèle
7
1985
Groupe symplectique et seconde quantification. Zbl 0386.22014
Vergne, Michele
7
1977
Idéaux primitifs des algèbres enveloppantes des algèbres de Lie résolubles. Zbl 0211.35801
Conze, N.; Vergne, M.
7
1971
Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006
Baldoni, 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 1122.11065
Vergne, Michèle
6
2003
Quantification géométrique et réduction symplectique. (Geometric quantization and symplectic reduction). Zbl 1037.53062
Vergne, Michèle
6
2002
Convex polytopes and quantization of symplectic manifolds. Zbl 0864.58022
Vergne, Michèle
6
1996
Geometric quantization and multiplicities. Zbl 0814.58020
Vergne, Michèle
6
1994
Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes. Zbl 0244.17010
Vergne, Michele
6
1968
Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015
Paradan, Paul-Emile; Vergne, Michèle
5
2019
Inequalities for moment cones of finite-dimensional representations. Zbl 1390.53095
Vergne, Michèle; Walter, Michael
5
2017
Arrangement of hyperplanes. II: The Szenes formula and Eisenstein series. Zbl 0968.32016
Brion, Michel; Vergne, Michèle
5
2000
Sur le foncteur de Zuckerman. (On Zuckerman’s functor). Zbl 0617.17007
Duflo, 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 0354.22018
Rossi, H.; Vergne, M.
5
1976
Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013
Paradan, P.-E.; Vergne, M.
4
2018
\([Q,R]=0\) and Kostant partition functions. Zbl 1409.81068
Szenes, András; Vergne, Michèle
4
2017
A homotopy for a complex of free Lie algebras. Zbl 1318.17011
Vergne, Michèle
4
2012
Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator. Zbl 1186.52006
Boysal, Arzu; Vergne, Michèle
4
2009
La structure de Poisson sur l’algèbre symétrique d’une algèbre de Lie nilpotente. Zbl 0204.35902
Vergne, Michèle
4
1969
Computation of dilated Kronecker coefficients. Zbl 1388.13016
Baldoni, V.; Vergne, M.; Walter, M.
3
2018
Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron. Zbl 1387.52026
Berline, Nicole; Vergne, Michèle
3
2016
Formal equivariant \( \hat A\) class, splines and multiplicities of the index of transversally elliptic operators. Zbl 1362.19005
Vergne, M.
3
2016
Kirillov’s formula and Guillemin-Sternberg conjecture. Zbl 1230.22005
Duflo, Michel; Vergne, Michèle
3
2011
The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058
Berline, Nicole; Vergne, Michèle
3
2007
Morris identities and the total residue for a system of type \(A_r\). Zbl 1097.33011
Baldoni-Silva, Velleda; Vergne, Michèle
3
2004
The equivariant Chern character and index of \(G\)-invariant operators. Zbl 0793.58032
Berline, Nicole; Vergne, Michèle
3
1993
Equivariant cohomology and descent. I. Zbl 0795.57014
Duflo, Michel; Vergne, Michèle
3
1993
Sur l’indice des opérateurs transversalement elliptiques. (On the index of transversally elliptic operators). Zbl 0693.58022
Vergne, Michèle
3
1990
Representations of Lie groups and the orbit method. Zbl 0525.22011
Vergne, Michele
3
1983
Existence de polarisations positives dans les algèbres de Lie. Zbl 0249.17016
Vergne, Michele; Wolf, Joseph
3
1972
Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032
Paradan, Paul-Émile; Vergne, Michèle
2
2018
Intermediate sums on polyhedra. II: Bidegree and Poisson formula. Zbl 1347.05005
Baldoni, 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 1323.11014
Baldoni, Velleda; Boysal, Arzu; Vergne, Michèle
2
2015
Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003
Berline, Nicole; Vergne, Michèle
2
2012
Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings. Zbl 1251.14023
Boysal, Arzu; Vergne, Michèle
2
2012
Witten non abelian localization for equivariant \(K\)-theory, and the \([Q,R]=0\) theorem. Zbl 1439.58015
Paradan, Paul-Emile; Vergne, Michèle
5
2019
Admissible coadjoint orbits for compact Lie groups. Zbl 1404.22013
Paradan, P.-E.; Vergne, M.
4
2018
Computation of dilated Kronecker coefficients. Zbl 1388.13016
Baldoni, V.; Vergne, M.; Walter, M.
3
2018
Equivariant index of twisted Dirac operators and semi-classical limits. Zbl 1429.58032
Paradan, Paul-Émile; Vergne, Michèle
2
2018
Equivariant Dirac operators and differentiable geometric invariant theory. Zbl 1385.53035
Paradan, Paul-Emile; Vergne, Michèle
13
2017
Inequalities for moment cones of finite-dimensional representations. Zbl 1390.53095
Vergne, Michèle; Walter, Michael
5
2017
\([Q,R]=0\) and Kostant partition functions. Zbl 1409.81068
Szenes, András; Vergne, Michèle
4
2017
The Horn inequalities from a geometric point of view. Zbl 1405.22017
Berline, Nicole; Vergne, Michèle; Walter, Michael
1
2017
The equivariant Riemann-Roch theorem and the graded Todd class. 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
3
2016
Formal equivariant \( \hat A\) class, splines and multiplicities of the index of transversally elliptic operators. Zbl 1362.19005
Vergne, M.
3
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
2
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. Zbl 1319.53045
Paradan, Paul-Émile; Vergne, Michèle
7
2014
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.
8
2013
Intermediate sums on polyhedra: computation and real Ehrhart theory. Zbl 1260.05006
Baldoni, V.; Berline, N.; Köppe, M.; Vergne, M.
6
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.
11
2012
A homotopy for a complex of free Lie algebras. Zbl 1318.17011
Vergne, Michèle
4
2012
Analytic continuation of a parametric polytope and wall-crossing. Zbl 1303.52003
Berline, Nicole; Vergne, Michèle
2
2012
Multiple Bernoulli series, an Euler-MacLaurin formula, and wall crossings. Zbl 1251.14023
Boysal, 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 1251.52007
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
23
2011
Infinitesimal index: cohomology computations. Zbl 1248.58014
De Concini, C.; Procesi, C.; Vergne, M.
8
2011
Kirillov’s formula and Guillemin-Sternberg conjecture. Zbl 1230.22005
Duflo, Michel; Vergne, Michèle
3
2011
A remark on the convolution with the box spline. Zbl 1248.41024
Vergne, Michèle
1
2011
Vector partition functions and generalized Dahmen and Micchelli spaces. Zbl 1223.58015
De Concini, C.; Procesi, C.; Vergne, M.
18
2010
Vector partition functions and index of transversally elliptic operators. Zbl 1223.58014
De Concini, C.; Procesi, C.; Vergne, M.
18
2010
Index of transversally elliptic operators. Zbl 1209.19003
Paradan, Paul-Émile; Vergne, Michèle
9
2009
Paradan’s wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator. Zbl 1186.52006
Boysal, Arzu; Vergne, Michèle
4
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
22
2008
Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Zbl 1162.52008
Baldoni, Velleda; Berline, Nicole; Vergne, Michèle
2
2008
Local Euler-Maclaurin formula for polytopes. Zbl 1146.52006
Berline, Nicole; Vergne, Michèle
22
2007
Applications of equivariant cohomology. Zbl 1123.19004
Vergne, Michèle
14
2007
The equivariant Todd genus of a complete toric variety, with Danilov condition. Zbl 1126.14058
Berline, Nicole; Vergne, Michèle
3
2007
Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001
Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele
16
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
197
2004
Toric reduction and a conjecture of Batyrev and Materov. Zbl 1067.14036
Szenes, András; Vergne, Michèle
32
2004
Counting integer flows in networks. Zbl 1083.68640
Baldoni-Silva, W.; de Loera, J. A.; Vergne, M.
18
2004
Morris identities and the total residue for a system of type \(A_r\). Zbl 1097.33011
Baldoni-Silva, Velleda; Vergne, Michèle
3
2004
Residue formulae for vector partitions and Euler–MacLaurin sums. Zbl 1067.52014
Szenes, András; Vergne, Michèle
26
2003
Residue formulae for Verlinde sums, and for number of integral points in convex rational polytopes. Zbl 1122.11065
Vergne, Michèle
6
2003
Quantification géométrique et réduction symplectique. (Geometric quantization and symplectic reduction). Zbl 1037.53062
Vergne, Michèle
6
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
48
1999
The center of the enveloping algebra and the Campbell-Hausdorff formula. 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
45
1997
Lattice points in simple polytopes. Zbl 0871.52009
Brion, Michel; Vergne, Michèle
41
1997
An equivariant Riemann-Roch theorem for complete, simplicial toric varieties. Zbl 0862.14006
Brion, Michel; Vergne, Michèle
28
1997
The equivariant index of transversally elliptic operators. Zbl 0883.58037
Berline, Nicole; Vergne, Michèle
22
1996
The Chern character of a transversally elliptic symbol and the equivariant index. Zbl 0847.46037
Berline, Nicole; Vergne, Michèle
21
1996
Equivariant index formulas for orbifolds. Zbl 0874.57029
Vergne, Michele
17
1996
Multiplicities formula for geometric quantization. I. Zbl 0855.58033
Vergne, Michele
15
1996
Multiplicities formula for geometric quantization. II. Zbl 0855.58034
Vergne, Michele
9
1996
A note on the Jeffrey-Kirwan-Witten localisation formula. Zbl 0862.57019
Vergne, Michèle
8
1996
Convex polytopes and quantization of symplectic manifolds. Zbl 0864.58022
Vergne, Michèle
6
1996
An Euler-Maclaurin formula for partition functions. Zbl 0869.65004
Brion, Michel; Vergne, Michèle
1
1996
An Euler-MacLaurin formula for rational convex polytopes. Zbl 0870.52004
Brion, Michel; Vergne, Michèle
1
1996
Instantons and Kostant-Sekiguchi correspondence. Zbl 0833.22010
Vergne, Michèle
13
1995
Geometric quantization and equivariant cohomology. Zbl 0827.58020
Vergne, Michèle
9
1994
Geometric quantization and multiplicities. Zbl 0814.58020
Vergne, Michèle
6
1994
Equivariante cohomology and descent. II. Zbl 0805.57022
Duflo, Michel; Vergne, Michèle
11
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. Zbl 0795.57014
Duflo, Michel; Vergne, Michèle
3
1993
Equivariant index and character of an induced representation. Zbl 0793.58033
Berline, 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 0830.57001
Duflo, Michel; Kumar, Shrawan; Vergne, Michèle
1
1993
Heat kernels and Dirac operators. Zbl 0744.58001
Berline, Nicole; Getzler, Ezra; Vergne, Michèle
374
1992
Joseph polynomials and Springer representation. Zbl 0718.22009
Vergne, Michèle
8
1990
Orbites coadjointes et cohomologie équivariante. (Coadjoint orbits and equivariant cohomology). Zbl 0741.22008
Duflo, Michel; Vergne, Michèle
7
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. 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
8
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
28
1985
A computation of the equivariant index of the Dirac operator. Zbl 0592.58044
Berline, Nicole; Vergne, Michèle
22
1985
Harmonically induced representations of solvable Lie groups. Zbl 0602.22008
Rosenberg, Jonathan; Vergne, Michèle
7
1985
Projection d’orbites, formule de Kirillov et formule de Blattner. (Projection of orbits, Kirillov formula, and Blattner formula). Zbl 0575.22014
Duflo, 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 0597.58033
Vergne, Michèle
1
1984
Zeros d’un champ de vecteurs et classes characteristiques équivariantes. Zbl 0515.58007
Berline, Nicole; Vergne, Michele
58
1983
Fourier transforms of orbits of the coadjoint representation. Zbl 0527.22010
Berline, Nicole; Vergne, Michele
12
1983
Representations of Lie groups and the orbit method. Zbl 0525.22011
Vergne, Michele
3
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
Non commutative harmonic analysis and Lie groups. Proceedings of the International Conference, held in Marseille Luminy, 21-26 June, 1982. Zbl 0511.00012
Carmona, J. (ed.); Vergne, M. (ed.)
1
1983
Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante. Zbl 0521.57020
Berline, Nicole; Vergne, Michele
72
1982
A Poisson-Plancherel formula for semi-simple Lie groups. Zbl 0501.43006
Vergne, Michele
8
1982
Equations de Hua et noyau de Poisson. Zbl 0521.32024
Berline, Nicole; Vergne, Michele
12
1981
The Weil representation, Maslov index and theta series. Zbl 0444.22005
Lion, Gérard; Vergne, Michèle
122
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
48
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.
14
1979
On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009
Kashiwara, M.; Vergne, M.
169
1978
The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012
Kashiwara, Masaki; Vergne, Michele
35
1978
Wave and Dirac operators, and representations of the conformal group. Zbl 0361.22012
Jakobsen, Hans Plesner; Vergne, Michele
55
1977
Groupe symplectique et seconde quantification. Zbl 0386.22014
Vergne, Michele
7
1977
...and 20 more Documents
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. Quatrième Série
31 Compositio Mathematica
30 Inventiones Mathematicae
28 Letters in Mathematical Physics
28 Differential Geometry and its Applications
27 Mathematische Zeitschrift
27 Transformation Groups
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Functional Analysis and its Applications
20 Proceedings of the American Mathematical Society
19 Nuclear Physics. B
18 International Journal of Mathematics
17 Representation Theory
16 Bulletin de la Société Mathématique de France
16 Journal of Noncommutative Geometry
15 Proceedings of the Japan Academy. Series A
15 The Journal of Geometric Analysis
14 Journal of Number Theory
14 Journal of the American Mathematical Society
13 Manuscripta Mathematica
12 Israel Journal of Mathematics
12 Linear Algebra and its Applications
11 Journal of Soviet Mathematics
11 Annals of Global Analysis and Geometry
11 Bulletin des Sciences Mathématiques
9 Reviews in Mathematical Physics
9 Acta Mathematica
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Journal of Algebraic Combinatorics
9 Selecta Mathematica. New Series
9 Geometry & Topology
8 Journal of Pure and Applied Algebra
8 Journal of Symbolic Computation
8 Discrete & Computational Geometry
8 Geometric and Functional Analysis. GAFA
7 Communications in Algebra
7 Journal of Mathematical Analysis and Applications
7 Theoretical and Mathematical Physics
7 Journal of the Mathematical Society of Japan
7 Advances in Applied Mathematics
7 Bulletin of the American Mathematical Society. New Series
7 Journal of Mathematical Sciences (New York)
7 International Journal of Geometric Methods in Modern Physics
6 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Journal of Lie Theory
6 Annals of Mathematics. Second Series
6 Journal of the European Mathematical Society (JEMS)
6 Central European Journal of Mathematics
6 Journal of the Institute of Mathematics of Jussieu
6 Journal of Physics A: Mathematical and Theoretical
6 Science China. Mathematics
5 Physics Letters. B
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Computation
5 Geometriae Dedicata
5 Journal of Differential Equations
5 Journal für die Reine und Angewandte Mathematik
5 Mathematische Nachrichten
5 Siberian Mathematical Journal
5 Acta Applicandae Mathematicae
5 \(K\)-Theory
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Indagationes Mathematicae. New Series
5 The Electronic Journal of Combinatorics
5 Acta Mathematica Sinica. English Series
5 Communications in Contemporary Mathematics
5 Proceedings of the Steklov Institute of Mathematics
5 Japanese Journal of Mathematics. 3rd Series
5 Journal of Siberian Federal University. Mathematics & Physics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Publications Mathématiques
4 Journal of Combinatorial Theory. Series A
4 Monatshefte für Mathematik
4 Results in Mathematics
4 Tohoku Mathematical Journal. Second Series
4 Topology and its Applications
4 European Journal of Combinatorics
4 Séminaire Lotharingien de Combinatoire
4 Algebras and Representation Theory
4 Algebraic & Geometric Topology
4 SIGMA. 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)

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