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Guillemin, Victor W.

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Author ID: guillemin.victor-w Recent zbMATH articles by "Guillemin, Victor W."
Published as: Guillemin, Victor; Guillemin, V.; Guillemin, Victor W.; Guillemin, V. W.; Guillemin, Victor L.
Homepage: https://math.mit.edu/~vwg/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 224 Publications since 1963, including 26 Books
10 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 77 Co-Authors with 183 Joint Publications
1,860 Co-Co-Authors
all top 5

Co-Authors

51 single-authored
54 Sternberg, Shlomo
23 Uribe, Alejandro
13 Wang, Zuoqin
12 Zara, Catalin
9 Miranda, Eva
8 Weitsman, Jonathan
6 Burns, Daniel M. jun.
6 Lerman, Eugene M.
5 Pires, Ana Rita
5 Sena-Dias, Rosa
4 Cannas da Silva, Ana
4 Dryden, Emily B.
4 Ginzburg, Viktor L’vovich
4 Golubitsky, Martin A.
4 Karshon, Yael
4 Kostant, Bertram
4 Sabatini, Silvia
4 Sjamaar, Reyer
3 Duistermaat, Johannes Jisse
3 Gel’fand, Israil’ Moiseevich
3 Gindikin, Simon Grigorevich
3 Holm, Tara S.
3 Kazhdan, David A.
3 Kirillov, Alexandre Aleksandrovich
3 Melrose, Richard Burt
3 Okikiolu, Kate
3 Pollack, Alan S.
3 Quillen, Daniel Gray
3 Schaeffer, David G.
3 Weinstein, Alan David
2 Adams, Malcolm R.
2 Boutet de Monvel, Louis
2 Colin de Verdière, Yves
2 Paul, Thierry
2 Prato, Elisa
2 Rassart, Etienne
2 Scott, Geoffrey
2 Sjöstrand, Johannes
2 Stenzel, Matthew B.
1 Atiyah, Michael Francis
1 Bernhard, James A.
1 Billey, Sara C.
1 Biss, Daniel K.
1 Brüning, Jochen
1 Bryant, Robert L.
1 Brylinski, Jean-Luc
1 Brylinski, Ranee Kathryn
1 Chuah, Meng-Kiat
1 Cushman, Richard H.
1 Ehrenpreis, Leon
1 Françoise, Jean-Pierre
1 Friedlander, Leonid
1 Haine, Peter
1 Heckman, Gert
1 Helgason, Sigurdur
1 Hezari, Hamid
1 Hingston, Nancy
1 Jeffrey, Lisa Claire
1 Jerison, David S.
1 Kac, Victor G.
1 Kalkman, Jaap
1 Kashiwara, Masaki
1 Kawai, Takahiro
1 Kogan, Mikhail N.
1 Kolk, Johan A. C.
1 Kuranishi, Masatake
1 Legendre, Eveline
1 Meinrenken, Eckhard
1 Nirenberg, Louis
1 Pelayo, Alvaro
1 Puppe, Volker
1 Shnider, Steven
1 Singer, Isadore Manuel
1 Souza, Regina
1 Stasheff, James D.
1 Stroock, Daniel W.
1 Tolman, Susan
1 Uhlmann, Gunther Alberto
1 Van den Ban, Erik Peter
1 Vergne, Michèle
1 Vũ Ngọc, San
1 Wells, Raymond O. jun.
1 Woodward, Christopher T.
1 Wu, Siye
all top 5

Serials

21 Advances in Mathematics
17 Journal of Differential Geometry
9 IMRN. International Mathematics Research Notices
7 Journal of Functional Analysis
7 Proceedings of the National Academy of Sciences of the United States of America
7 Mathematical Research Letters
6 Duke Mathematical Journal
6 Inventiones Mathematicae
6 Bulletin of the American Mathematical Society
5 Letters in Mathematical Physics
5 Transactions of the American Mathematical Society
4 Annals of Global Analysis and Geometry
3 American Journal of Mathematics
3 Annals of Mathematics Studies
2 Communications in Mathematical Physics
2 Inverse Problems
2 Journal d’Analyse Mathématique
2 Annales de l’Institut Fourier
2 Topology
2 Asymptotic Analysis
2 Annals of Physics
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Journal of Algebraic Combinatorics
2 Transformation Groups
2 Pure and Applied Mathematics Quarterly
2 Graduate Texts in Mathematics
2 Progress in Mathematics
1 Communications on Pure and Applied Mathematics
1 Hadronic Journal
1 Journal of Geometry and Physics
1 Integral Equations and Operator Theory
1 Journal of Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Ergodic Theory and Dynamical Systems
1 Journal of the American Mathematical Society
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Notices of the American Mathematical Society
1 Communications in Analysis and Geometry
1 The New York Journal of Mathematics
1 The Asian Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Bulletin of the Brazilian Mathematical Society. New Series
1 The Journal of Symplectic Geometry
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Colloquium Publications. American Mathematical Society
1 Contemporary Mathematics
1 CRM Monograph Series
1 Mathematical Surveys and Monographs
1 Aportaciones Matematicas. Textos
1 Journal of Spectral Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Mathematical Surveys
1 Contemporary Mathematicians
1 Springer Collected Works in Mathematics
1 Advances in Mathematics. Supplementary Studies

Publications by Year

Citations contained in zbMATH Open

200 Publications have been cited 5,484 times in 4,014 Documents Cited by Year
Stable mappings and their singularities. Zbl 0294.58004
Golubitsky, M.; Guillemin, V.
616
1973
Differential topology. Zbl 0361.57001
Guillemin, Victor; Pollack, Alan
380
1974
The spectrum of positive elliptic operators and periodic bicharacteristics. Zbl 0307.35071
Duistermaat, J. J.; Guillemin, V. W.
325
1975
Symplectic techniques in physics. Zbl 0576.58012
Guillemin, Victor; Sternberg, Shlomo
304
1984
Convexity properties of the moment mapping. Zbl 0503.58017
Guillemin, V.; Sternberg, S.
245
1982
Geometric asymptotics. Zbl 0364.53011
Guillemin, Victor; Sternberg, Shlomo
218
1977
Geometric quantization and multiplicities of group representations. Zbl 0503.58018
Guillemin, V.; Sternberg, S.
215
1982
The spectral theory of Toeplitz operators. Zbl 0469.47021
Boutet de Monvel, L.; Guillemin, V.
159
1981
Moment maps, cobordisms, and Hamiltonian group actions. Zbl 1197.53002
Guillemin, Victor; Ginzburg, Viktor; Karshon, Yael
116
2002
An algebraic model of transitive differential geometry. Zbl 0121.38801
Guillemin, Victor W.; Sternberg, Shlomo
116
1964
A new proof of Weyl’s formula on the asymptotic distribution of eigenvalues. Zbl 0559.58025
Guillemin, Victor
110
1985
Supersymmetry and equivariant de Rham theory. With reprint of two seminal notes by Henri Cartan. Zbl 0934.55007
Guillemin, Victor W.; Sternberg, Shlomo
109
1999
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
99
1994
Symplectic techniques in physics. Reprinted with corrections. Zbl 0734.58005
Guillemin, Victor; Sternberg, Shlomo
92
1990
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. Zbl 0828.58001
Guillemin, Victor
86
1994
Some inverse spectral results for negatively curved 2-manifolds. Zbl 0465.58027
Guillemin, Victor; Kazhdan, David
81
1980
Symplectic fibrations and multiplicity diagrams. Zbl 0870.58023
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
67
1996
The Gelfand-Cetlin system and quantization of the complex flag manifolds. Zbl 0522.58021
Guillemin, V.; Sternberg, S.
62
1983
Grauert tubes and the homogeneous Monge-Ampère equation. Zbl 0746.32005
Guillemin, Victor; Stenzel, Matthew
56
1991
Some problems in integral geometry and some related problems in micro- local analysis. Zbl 0446.58019
Guillemin, Victor; Sternberg, Shlomo
54
1979
Oscillatory integrals with singular symbols. Zbl 0462.58030
Guillemin, V.; Uhlmann, G.
54
1981
The moment map and collective motion. Zbl 0453.58015
Guillemin, Victor; Sternberg, Shlomo
52
1980
Differential topology. Reprint of the 1974 original. Zbl 1420.57001
Guillemin, Victor; Pollack, Alan
47
2010
Birational equivalence in the symplectic category. Zbl 0683.53033
Guillemin, V.; Sternberg, S.
46
1989
Symplectic and Poisson geometry on \( b\)-manifolds. Zbl 1296.53159
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
45
2014
The Radon transform on Zoll surfaces. Zbl 0353.53027
Guillemin, Victor
44
1976
Convexity properties of the moment mapping. II. Zbl 0561.58015
Guillemin, V.; Sternberg, S.
43
1984
Homogeneous quantization and multiplicities of group representations. Zbl 0733.58021
Guillemin, V.; Sternberg, S.
39
1982
Toeplitz operators in \(n\)-dimensions. Zbl 0561.47025
Guillemin, Victor
38
1984
The Poisson summation formula for manifolds with boundary. Zbl 0421.35082
Guillemin, Victor; Melrose, Richard
37
1979
The integrability problem for G-structures. Zbl 0178.55702
Guillemin, Victor W.
37
1965
Semi-classical analysis. Zbl 1298.58001
Guillemin, Victor; Sternberg, Shlomo
34
2013
Sojourn times and asymptotic properties of the scattering matrix. Zbl 0381.35064
Guillemin, V.
32
1977
Some spectral results for the Laplace operator with potential on the n- sphere. Zbl 0433.35052
Guillemin, Victor
31
1978
Multiplicity-free spaces. Zbl 0548.58017
Guillemin, Victor; Sternberg, Shlomo
31
1984
Remarks on a paper of Hermann. Zbl 0155.05701
Guillemin, Victor W.; Sternberg, Shlomo
30
1968
A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras. Zbl 0183.26102
Guillemin, Victor W.
30
1968
Deformation theory of pseudogroup structures. Zbl 0169.53001
Guillemin, Victor W.; Sternberg, Shlomo
29
1966
Infinite dimensional primitive Lie algebras. Zbl 0223.17007
Guillemin, Victor
28
1970
Lectures on spectral theory of elliptic operators. Zbl 0463.58024
Guillemin, Victor
27
1977
Codimension one symplectic foliations and regular Poisson structures. Zbl 1244.53093
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
27
2011
Star products on compact pre-quantizable symplectic manifolds. Zbl 0842.58041
Guillemin, Victor
26
1995
Band asymptotics in two dimensions. Zbl 0478.58029
Guillemin, Victor
26
1981
The Laplace operator on the \(n\)th tensor power of a line bundle: Eigenvalues which are uniformly bounded in n. Zbl 0649.53026
Guillemin, V.; Uribe, A.
26
1988
Some spectral results on rank one symmetric spaces. Zbl 0441.58012
Guillemin, V.
25
1978
Circular symmetry and the trace formula. Zbl 0686.58040
Guillemin, V.; Uribe, A.
25
1989
Wave-trace invariants. Zbl 0858.58051
Guillemin, Victor
24
1996
Toric actions on \(b\)-symplectic manifolds. Zbl 1333.53115
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
24
2015
Grauert tubes and the homogeneous Monge-Ampère equation. II. Zbl 0789.32010
Guillemin, Victor; Stenzel, Matthew
23
1992
1-skeleta, Betti numbers, and equivariant cohomology. Zbl 1020.57013
Guillemin, V.; Zara, C.
23
2001
Cosmology in \((2+1)\)-dimensions, cyclic models, and deformations of \(M_{2,1}\). Zbl 0697.53003
Guillemin, Victor
23
1989
A GKM description of the equivariant cohomology ring of a homogeneous space. Zbl 1096.53050
Guillemin, V.; Holm, T.; Zara, C.
23
2006
On collective complete integrability according to the method of Thimm. Zbl 0511.58024
Guillemin, Victor; Sternberg, Shlomo
23
1984
Residue traces for certain algebras of Fourier integral operators. Zbl 0791.35162
Guillemin, V.
22
1993
Equivariant de Rham theory and graphs. Zbl 0971.58001
Guillemin, V.; Zara, C.
21
1999
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
19
1970
Variations on a theme by Kepler. Zbl 0724.70006
Guillemin, Victor; Sternberg, Shlomo
17
1990
Gauged Lagrangian distributions. Zbl 0803.58052
Guillemin, Victor
17
1993
A normal form for the moment map. Zbl 0548.58011
Guillemin, Victor; Sternberg, Shlomo
17
1984
Contact equivalence for Lagrangian manifolds. Zbl 0295.57018
Golubitsky, M.; Guillemin, V.
16
1975
On the Kostant multiplicity formula. Zbl 0713.58013
Guillemin, V.; Lerman, E.; Sternberg, S.
15
1988
Reduction and the trace formula. Zbl 0721.58050
Guillemin, Victor; Uribe, Alejandro
15
1990
Convexity properties of Hamiltonian group actions. Zbl 1084.53069
Guillemin, Victor; Sjamaar, Reyer
14
2005
Symplectic implosion. Zbl 1015.53054
Guillemin, Victor; Jeffrey, Lisa; Sjamaar, Reyer
14
2002
The metaplectic representation, Weyl operators and spectral theory. Zbl 0469.58017
Guillemin, V.; Sternberg, S.
14
1981
On a certain class of Fuchsian partial differential equations. Zbl 0356.35080
Guillemin, Victor; Schaeffer, David
14
1977
On the cohomology of certain dynamical systems. Zbl 0498.58018
Guillemin, Victor; Kazhdan, David
14
1980
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. Zbl 0837.57028
Guillemin, Victor; Kalkman, Jaap
13
1996
Riemann-Roch for toric orbifolds. Zbl 0932.37039
Guillemin, Victor
13
1997
Some algebraic results concerning the characteristics of overdetermined partial differential equations. Zbl 0162.40601
Guillemin, Victor W.
13
1968
The mod 2 cohomology of fixed point sets of anti-symplectic involutions. Zbl 1069.53058
Biss, Daniel; Guillemin, Victor W.; Holm, Tara S.
12
2004
Lectures on spectral theory of elliptic operators. Zbl 0447.58033
Guillemin, Victor
12
1977
Some inverse spectral results for negatively curved n-manifolds. Zbl 0456.58031
Guillemin, Victor; Kazhdan, David
12
1980
Riemann sums over polytopes. Zbl 1143.52011
Guillemin, Victor; Sternberg, Shlomo
12
2007
Clustering theorems with twisted spectra. Zbl 0591.58031
Guillemin, Victor; Uribe, Alejandro
12
1986
Heckman, Kostant, and Steinberg formulas for symplectic manifolds. Zbl 0718.58027
Guillemin, Victor; Prato, Elisa
12
1990
Hardy functions and the inverse spectral method. Zbl 0567.35073
Guillemin, V.; Uribe, A.
12
1983
Reduced phase spaces and Riemann-Roch. Zbl 0869.58017
Guillemin, Victor
11
1994
A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\). Zbl 1116.17005
Billey, Sara; Guillemin, Victor; Rassart, Etienne
11
2004
The spectrum of positive elliptic operators and periodic geodesics. Zbl 0322.35071
Duistermaat, J. J.; Guillemin, V. W.
11
1975
On some results of Gelfand in integral geometry. Zbl 0576.58028
Guillemin, Victor
11
1985
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
Stable mappings and their singularities. (Ustojchivye otobrazheniya i ikh osobennosti.) Transl. from the English by A. G. Kushnirenko. Ed. by V. I. Arnol’d. Zbl 0429.58004
Golubitsky, M.; Guillemin, V.
10
1977
On the equations of motion of a classical particle in a Yang-Mills field and the principle of general covariance. Zbl 0449.53051
Guillemin, Victor; Sternberg, Shlomo
10
1978
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1966
On the unfolding of folded symplectic structures. Zbl 0984.53036
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher
9
2000
GKM theory for torus actions with nonisolated fixed points. Zbl 1138.53315
Guillemin, Victor; Holm, Tara S.
9
2004
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
Stable mappings and their singularities. 2nd corr. printing. Zbl 0434.58001
Golubitsky, M.; Guillemin, V.
9
1980
Some classical theorems in spectral theory revisited. Zbl 0452.35093
Guillemin, Victor
9
1979
A cohomological invariant of discrete dynamical systems. Zbl 0482.58032
Guillemin, Victor; Melrose, Richard
9
1981
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
9
1967
The Lewy counterexample and the local equivalence problem for G- structures. Zbl 0159.23401
Guillemin, Victor W.; Sternberg, Shlomo
9
1967
Remarks on a paper of D. Ludwig. Zbl 0256.35008
Guillemin, V.; Schaeffer, D.
9
1973
A semi-classical inverse problem. I: Taylor expansions. Zbl 1258.34036
Colin de Verdière, Yves; Guillemin, Victor
9
2011
Monodromy in the quantum spherical pendulum. Zbl 0689.58019
Guillemin, V.; Uribe, A.
9
1989
On the method of Symes for integrating systems of the Toda type. Zbl 0521.58033
Guillemin, V.; Sternberg, S.
9
1983
Potential functions and actions of tori on Kähler manifolds. Zbl 1073.53113
Burns, D.; Guillemin, V.
8
2004
Some inverse spectral results for semi-classical Schrödinger operators. Zbl 1138.35006
Guillemin, Victor; Uribe, Alejandro
8
2007
Kähler metrics on singular toric varieties. Zbl 1157.32019
Burns, Dan; Guillemin, Victor; Lerman, Eugene
8
2008
On geometric quantization of \(b^m\)-symplectic manifolds. Zbl 1465.81057
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
1
2021
Desingularizing \(b^m\)-symplectic structures. Zbl 1430.53089
Guillemin, Victor; Miranda, Eva; Weitsman, Jonathan
7
2019
Differential forms. Zbl 1418.58001
Guillemin, Victor; Haine, Peter
2
2019
On geometric quantization of \(b\)-symplectic manifolds. Zbl 1393.53089
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
4
2018
Convexity of the moment map image for torus actions on \(b^m\)-symplectic manifolds. Zbl 1407.53091
Guillemin, Victor W.; Miranda, Eva; Weitsman, Jonathan
1
2018
Convexity for Hamiltonian torus actions on \(b\)-symplectic manifolds. Zbl 1390.53094
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
7
2017
Singularities of the wave trace for the Friedlander model. Zbl 1388.35035
Colin de Verdière, Yves; Guillemin, Victor; Jerison, David
2
2017
Semiclassical states associated with isotropic submanifolds of phase space. Zbl 1362.58014
Guillemin, V.; Uribe, A.; Wang, Z.
6
2016
Semi-classical weights and equivariant spectral theory. Zbl 1347.58006
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
3
2016
The generalized Legendre transform and its applications to inverse spectral problems. Zbl 1337.35102
Guillemin, Victor; Wang, Zuoqin
2
2016
Toric actions on \(b\)-symplectic manifolds. Zbl 1333.53115
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
24
2015
Canonical forms for perturbations of the harmonic oscillator. Zbl 1315.37037
Guillemin, V.; Uribe, A.; Wang, Z.
1
2015
Symplectic and Poisson geometry on \( b\)-manifolds. Zbl 1296.53159
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
45
2014
Simple spectrum and Rayleigh quotients. Zbl 1351.58012
Guillemin, Victor; Legendre, Eveline; Sena-Dias, Rosa
4
2014
Polynomial assignments. Zbl 1307.53069
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
1
2014
Semi-classical analysis. Zbl 1298.58001
Guillemin, Victor; Sternberg, Shlomo
34
2013
Balanced fiber bundles and GKM theory. Zbl 1329.55005
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
3
2013
Equivariant \(K\)-theory of GKM bundles. Zbl 1262.55007
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
1
2013
Semiclassical spectral invariants for Schrödinger operators. Zbl 1273.35198
Guillemin, Victor; Wang, Zuoqin
4
2012
Cohomology of GKM fiber bundles. Zbl 1233.57021
Guillemin, Victor; Sabatini, Silvia; Zara, Catalin
4
2012
Hearing Delzant polytopes from the equivariant spectrum. Zbl 1244.58011
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
4
2012
Band invariants for perturbations of the harmonic oscillator. Zbl 1248.35134
Guillemin, V.; Uribe, A.; Wang, Z.
3
2012
Equivariant inverse spectral theory and toric orbifolds. Zbl 1253.58014
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
3
2012
Equivariant inverse spectral problems. Zbl 1327.58030
Dryden, Emily B.; Guillemin, Victor; Sena-Dias, Rosa
1
2012
A semiclassical heat trace expansion for the perturbed harmonic oscillator. Zbl 1317.35159
Guillemin, V.; Uribe, A.; Wang, Zuo-qin
1
2012
Codimension one symplectic foliations and regular Poisson structures. Zbl 1244.53093
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita
27
2011
A semi-classical inverse problem. I: Taylor expansions. Zbl 1258.34036
Colin de Verdière, Yves; Guillemin, Victor
9
2011
Symplectic origami. Zbl 1236.53062
Cannas da Silva, A.; Guillemin, V.; Pires, A. R.
7
2011
The Tian-Yau-Zelditch theorem and Toeplitz operators. Zbl 1226.32009
Burns, Daniel; Guillemin, Victor
1
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
1
2011
Differential topology. Reprint of the 1974 original. Zbl 1420.57001
Guillemin, Victor; Pollack, Alan
47
2010
Stability functions. Zbl 1186.53101
Burns, Daniel; Guillemin, Victor; Wang, Zuoqin
7
2010
Some remarks about semiclassical trace invariants and quantum normal forms. Zbl 1213.58021
Guillemin, Victor; Paul, Thierry
6
2010
The spectral density function of a toric variety. Zbl 1228.58016
Burns, D.; Guillemin, V.; Uribe, A.
3
2010
Geodesics on weighted projective spaces. Zbl 1176.58014
Guillemin, V.; Uribe, A.; Wang, Z.
6
2009
Symplectic fibrations and multiplicity diagrams. Reprint of the hardback edition 1996. Zbl 1166.37024
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
3
2009
Kähler metrics on singular toric varieties. Zbl 1157.32019
Burns, Dan; Guillemin, Victor; Lerman, Eugene
8
2008
Determinants of zeroth order operators. Zbl 1140.58017
Friedlander, Leonid; Guillemin, Victor
3
2008
The Mellin transform and spectral properties of toric varieties. Zbl 1166.14302
Guillemin, Victor; Wang, Zuoqin
2
2008
Some Riemann sums are better than others. Zbl 1173.26307
Guillemin, Victor W.; Stroock, Daniel W.
1
2008
Riemann sums over polytopes. Zbl 1143.52011
Guillemin, Victor; Sternberg, Shlomo
12
2007
Some inverse spectral results for semi-classical Schrödinger operators. Zbl 1138.35006
Guillemin, Victor; Uribe, Alejandro
8
2007
“Bottom of the well” semi-classical trace invariants. Zbl 1140.58007
Guillemin, V.; Paul, T.; Uribe, A.
7
2007
A GKM description of the equivariant cohomology ring of a homogeneous space. Zbl 1096.53050
Guillemin, V.; Holm, T.; Zara, C.
23
2006
Convexity theorems for varieties invariant under a Borel subgroup. Zbl 1107.53055
Guillemin, Victor; Sjamaar, Reyer
4
2006
The Ehrhart function for symbols. Zbl 1132.52019
Guillemin, Victor W.; Sternberg, Shlomo; Weitsman, Jonathan
3
2006
Convexity properties of Hamiltonian group actions. Zbl 1084.53069
Guillemin, Victor; Sjamaar, Reyer
14
2005
The moment map revisited. Zbl 1091.53054
Guillemin, Victor; Sternberg, Shlomo
7
2005
Toric symplectic singular spaces. I: Isolated singularities. Zbl 1120.53051
Burns, Daniel M.; Guillemin, Victor W.; Lerman, Eugene M.
1
2005
The mod 2 cohomology of fixed point sets of anti-symplectic involutions. Zbl 1069.53058
Biss, Daniel; Guillemin, Victor W.; Holm, Tara S.
12
2004
A vector partition function for the multiplicities of \(\mathfrak{sl}_k\mathbb C\). Zbl 1116.17005
Billey, Sara; Guillemin, Victor; Rassart, Etienne
11
2004
GKM theory for torus actions with nonisolated fixed points. Zbl 1138.53315
Guillemin, Victor; Holm, Tara S.
9
2004
Potential functions and actions of tori on Kähler manifolds. Zbl 1073.53113
Burns, D.; Guillemin, V.
8
2004
Signature quantization. Zbl 1066.53139
Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan
2
2004
Morse theory on Hamiltonian \(G\)-spaces and equivariant \(K\)-theory. Zbl 1071.53048
Guillemin, Victor; Kogan, Mikhail
2
2004
Signature quantization and representations of compact Lie groups. Zbl 1063.53094
Guillemin, Victor; Rassart, Etienne
2
2004
The existence of generating families for the cohomology ring of a graph. Zbl 1020.57014
Guillemin, Victor; Zara, Catalin
4
2003
Signature quantization. Zbl 1063.53095
Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan
1
2003
Moment maps, cobordisms, and Hamiltonian group actions. Zbl 1197.53002
Guillemin, Victor; Ginzburg, Viktor; Karshon, Yael
116
2002
Symplectic implosion. Zbl 1015.53054
Guillemin, Victor; Jeffrey, Lisa; Sjamaar, Reyer
14
2002
Combinatorial formulas for products of Thom classes. Zbl 1009.57034
Guillemin, Victor; Zara, Catalin
4
2002
Melrose-Uhlmann projectors, the metaplectic representation and symplectic cuts. Zbl 1071.53540
Guillemin, V.; Lerman, E.
1
2002
1-skeleta, Betti numbers, and equivariant cohomology. Zbl 1020.57013
Guillemin, V.; Zara, C.
23
2001
\(G\)-actions on graphs. Zbl 1003.53058
Guillemin, V.; Zara, C.
5
2001
On the unfolding of folded symplectic structures. Zbl 0984.53036
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher
9
2000
Equivariant de Rham theory and graphs. Zbl 1072.55002
Guillemin, V.; Zara, C.
1
2000
Supersymmetry and equivariant de Rham theory. With reprint of two seminal notes by Henri Cartan. Zbl 0934.55007
Guillemin, Victor W.; Sternberg, Shlomo
109
1999
Equivariant de Rham theory and graphs. Zbl 0971.58001
Guillemin, V.; Zara, C.
21
1999
Assignments and abstract moment maps. Zbl 0977.53078
Ginzburg, Viktor L.; Guillemin, Victor; Karshon, Yael
4
1999
Quantization of symplectic orbifolds and group actions. Zbl 0978.53138
Canas da Silva, Ana; Guillemin, Victor
1
1999
Riemann-Roch for toric orbifolds. Zbl 0932.37039
Guillemin, Victor
13
1997
Spectral asymptotics of Toeplitz operators on Zoll manifolds. Zbl 0909.47018
Guillemin, V.; Okikiolu, K.
3
1997
Subprincipal terms in Szegö estimates. Zbl 0881.58064
Guillemin, V.; Okikiolu, K.
3
1997
Symplectic fibrations and multiplicity diagrams. Zbl 0870.58023
Guillemin, Victor; Lerman, Eugene; Sternberg, Shlomo
67
1996
Wave-trace invariants. Zbl 0858.58051
Guillemin, Victor
24
1996
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology. Zbl 0837.57028
Guillemin, Victor; Kalkman, Jaap
13
1996
Cobordism theory and localization formulas for Hamiltonian group actions. Zbl 0863.57027
Ginzburg, Viktor; Guillemin, Victor; Karshon, Yael
6
1996
Measure theory and probability. Repr. with corr. from the Wadsworth ed. Zbl 0851.28001
Adams, Malcolm; Guillemin, Victor
4
1996
Szegö theorems for Zoll operators. Zbl 0899.47038
Guillemin, V.; Okikiolu, K.
3
1996
On the Kostant multiplicity formula for group actions with nonisolated fixed points. Zbl 0862.58048
Canas da Silva, A.; Guillemin, V.
1
1996
Star products on compact pre-quantizable symplectic manifolds. Zbl 0842.58041
Guillemin, Victor
26
1995
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
The coefficients of the Duistermaat-Heckman polynomial and the cohomology ring of reduced spaces. Zbl 0869.57029
Guillemin, Victor; Sternberg, Shlomo
4
1995
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
99
1994
Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces. Zbl 0828.58001
Guillemin, Victor
86
1994
Reduced phase spaces and Riemann-Roch. Zbl 0869.58017
Guillemin, Victor
11
1994
Mathematics past and present. Fourier integral operators. Selected classical articles by J. J. Duistermaat, V. W. Guillemin and L. Hörmander. Zbl 0791.47043
1
1994
Residue traces for certain algebras of Fourier integral operators. Zbl 0791.35162
Guillemin, V.
22
1993
Gauged Lagrangian distributions. Zbl 0803.58052
Guillemin, Victor
17
1993
Kaehler structures on \(K_ \mathbb{C}/N\). Zbl 0809.53060
Chuah, Meng-Kiat; Guillemin, Victor
4
1993
Wave-trace invariants and a theorem of Zelditch. Zbl 0798.58073
Guillemin, Victor
4
1993
On the de Haas-van Alphen effect. Zbl 0774.35063
Guillemin, V.; Uribe, A.
2
1993
Grauert tubes and the homogeneous Monge-Ampère equation. II. Zbl 0789.32010
Guillemin, Victor; Stenzel, Matthew
23
1992
The homogeneous Monge-Ampère equation on a pseudoconvex domain. Zbl 0804.35002
Guillemin, Victor
1
1992
Grauert tubes and the homogeneous Monge-Ampère equation. Zbl 0746.32005
Guillemin, Victor; Stenzel, Matthew
56
1991
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
Symplectic techniques in physics. Reprinted with corrections. Zbl 0734.58005
Guillemin, Victor; Sternberg, Shlomo
92
1990
Variations on a theme by Kepler. Zbl 0724.70006
Guillemin, Victor; Sternberg, Shlomo
17
1990
Reduction and the trace formula. Zbl 0721.58050
Guillemin, Victor; Uribe, Alejandro
15
1990
Heckman, Kostant, and Steinberg formulas for symplectic manifolds. Zbl 0718.58027
Guillemin, Victor; Prato, Elisa
12
1990
...and 100 more Documents
all top 5

Cited by 3,854 Authors

70 Guillemin, Victor W.
47 Zelditch, Steve
30 Uhlmann, Gunther Alberto
30 Uribe, Alejandro
29 Miranda, Eva
28 Ratiu, Tudor Stefan
26 Pelayo, Alvaro
23 Sternberg, Shlomo
22 Paoletti, Roberto
22 Weinstein, Alan David
21 Paternain, Gabriel Pedro
20 Quinto, Eric Todd
17 Kruglikov, Boris S.
17 Wang, Yong
16 Goertsches, Oliver
16 Marsden, Jerrold Eldon
15 Kordyukov, Yuri A.
15 Vergne, Michèle
14 Colin de Verdière, Yves
14 Vũ Ngọc, San
13 Greenleaf, Allan
13 Kirwan, Frances Clare
13 Romero-Fuster, María Carmen
13 Saeki, Osamu
12 Ponge, Raphaël S.
12 Zworski, Maciej
11 Izumiya, Shyuichi
11 Jeffrey, Lisa Claire
11 Karshon, Yael
11 Ma, Xiaonan
11 Paradan, Paul-Emile
11 Petkov, Vesselin M.
11 Śniatycki, Jędrzej
11 Wang, Jian
11 Wang, Zuoqin
10 Alekseev, Anton Yu.
10 Biliotti, Leonardo
10 Chen, Bohui
10 Cho, Yunhyung
10 de Gosson, Maurice Alexis
10 Duistermaat, Johannes Jisse
10 Engliš, Miroslav
10 Hall, Brian C.
10 Holm, Tara S.
10 Kirwin, William D.
10 Lychagin, Valentin V.
10 Melrose, Richard Burt
10 Paul, Thierry
10 Polterovich, Leonid Viktorovich
10 Popov, Georgi St.
10 Schrohe, Elmar
10 Sjöstrand, Johannes
10 Stoyanov, Luchezar N.
10 Tolman, Susan
10 Toth, John Andrew
10 Winternitz, Pavel
10 Wunsch, Jared
9 Bloch, Anthony Michael
9 Charles, Laurent
9 Chuah, Meng-Kiat
9 Dancer, Andrew S.
9 Ginzburg, Viktor L’vovich
9 Gotay, Mark J.
9 Kac, Victor G.
9 Kappeler, Thomas
9 Krishnan, Venkateswaran P.
9 Legendre, Eveline
9 Meinrenken, Eckhard
9 Oh, Yong-Geun
9 Ortega, Juan-Pablo
9 Prástaro, Agostino
9 Prato, Elisa
9 Sabatini, Silvia
9 Sjamaar, Reyer
9 Spera, Mauro
9 Taylor, Michael Eugene
9 Tchoń, Krzysztof
9 Weitsman, Jonathan
8 Adams, Malcolm R.
8 de la Llave, Rafael
8 Dyatlov, Semyon
8 Felea, Raluca
8 Françoise, Jean-Pierre
8 Futorny, Vyacheslav M.
8 Golubitsky, Martin A.
8 Guillarmou, Colin
8 Hassell, Andrew
8 Mare, Augustin-Liviu
8 Masuda, Mikiya
8 Monard, François
8 Rivière, Gabriel
8 Robert, Didier
8 Stefanov, Plamen D.
8 Strohmaier, Alexander
8 Szoke, Róbert
8 Viña, Andrés
8 Woodward, Christopher T.
7 Apostolov, Vestislav
7 Barron, Tatyana
7 Battaglia, Fiammetta
...and 3,754 more Authors
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Cited in 474 Serials

183 Communications in Mathematical Physics
166 Journal of Geometry and Physics
161 Transactions of the American Mathematical Society
150 Advances in Mathematics
109 Journal of Functional Analysis
88 Journal of Mathematical Physics
76 Annales de l’Institut Fourier
76 Inventiones Mathematicae
75 Mathematische Zeitschrift
74 Duke Mathematical Journal
66 Mathematische Annalen
66 Proceedings of the American Mathematical Society
62 Letters in Mathematical Physics
58 Communications in Partial Differential Equations
57 Journal of Differential Equations
56 The Journal of Geometric Analysis
55 Journal of Mathematical Economics
50 Differential Geometry and its Applications
49 Annals of Global Analysis and Geometry
41 Journal of Mathematical Analysis and Applications
41 Topology and its Applications
36 Functional Analysis and its Applications
29 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
29 Journal of Economic Theory
29 Bulletin of the American Mathematical Society. New Series
28 Journal of Soviet Mathematics
28 International Journal of Mathematics
26 Journal of Algebra
26 Journal of the American Mathematical Society
24 Journal of Mathematical Sciences (New York)
23 Journal d’Analyse Mathématique
23 Reports on Mathematical Physics
23 Geometriae Dedicata
23 Physica D
21 International Journal of Theoretical Physics
21 Acta Applicandae Mathematicae
20 Archive for Rational Mechanics and Analysis
20 Reviews in Mathematical Physics
20 Systems & Control Letters
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Compositio Mathematica
19 Manuscripta Mathematica
19 Ergodic Theory and Dynamical Systems
19 Linear Algebra and its Applications
19 Annales de l’Institut Henri Poincaré. Physique Théorique
19 Transformation Groups
19 Geometry & Topology
19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
18 Journal für die Reine und Angewandte Mathematik
18 Indagationes Mathematicae. New Series
18 Selecta Mathematica. New Series
18 International Journal of Geometric Methods in Modern Physics
17 Annales Henri Poincaré
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Tohoku Mathematical Journal. Second Series
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Journal of High Energy Physics
15 Journal of Pseudo-Differential Operators and Applications
14 Journal of Pure and Applied Algebra
14 Memoirs of the American Mathematical Society
14 Journal of Nonlinear Science
14 The Journal of Fourier Analysis and Applications
14 Regular and Chaotic Dynamics
14 Bulletin of the American Mathematical Society
13 Acta Mathematica
13 Automatica
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Geometric and Functional Analysis. GAFA
13 Algebraic & Geometric Topology
12 Israel Journal of Mathematics
12 Mathematical Notes
12 Nuclear Physics. B
12 Integral Equations and Operator Theory
12 Journal of the Mathematical Society of Japan
12 Advances in Applied Mathematics
12 Economic Theory
12 Journal of Geometric Mechanics
11 Bulletin de la Société Mathématique de France
11 Proceedings of the Japan Academy. Series A
11 Annals of Physics
11 Annals of Mathematics. Second Series
11 Journal of Spectral Theory
10 Cahiers de Topologie et Géométrie Différentielle Catégoriques
10 Publications Mathématiques
10 Journal of Optimization Theory and Applications
10 Nonlinear Analysis. Theory, Methods & Applications
9 Communications in Algebra
9 Monatshefte für Mathematik
9 Journal of Dynamics and Differential Equations
9 Discrete and Continuous Dynamical Systems
9 Acta Mathematica Sinica. English Series
9 Bulletin of the Brazilian Mathematical Society. New Series
9 Journal of Fixed Point Theory and Applications
8 Communications on Pure and Applied Mathematics
8 Rocky Mountain Journal of Mathematics
8 Archiv der Mathematik
8 Czechoslovak Mathematical Journal
8 Journal of Computational and Applied Mathematics
...and 374 more Serials
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Cited in 63 Fields

1,443 Differential geometry (53-XX)
1,012 Global analysis, analysis on manifolds (58-XX)
707 Partial differential equations (35-XX)
630 Dynamical systems and ergodic theory (37-XX)
498 Quantum theory (81-XX)
454 Manifolds and cell complexes (57-XX)
344 Several complex variables and analytic spaces (32-XX)
333 Algebraic geometry (14-XX)
263 Topological groups, Lie groups (22-XX)
247 Operator theory (47-XX)
228 Mechanics of particles and systems (70-XX)
221 Nonassociative rings and algebras (17-XX)
157 Ordinary differential equations (34-XX)
154 Algebraic topology (55-XX)
135 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
126 Functional analysis (46-XX)
97 Systems theory; control (93-XX)
87 Convex and discrete geometry (52-XX)
86 Relativity and gravitational theory (83-XX)
80 Integral transforms, operational calculus (44-XX)
78 Numerical analysis (65-XX)
69 Group theory and generalizations (20-XX)
59 Number theory (11-XX)
58 Probability theory and stochastic processes (60-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
55 Combinatorics (05-XX)
53 Linear and multilinear algebra; matrix theory (15-XX)
50 Fluid mechanics (76-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
46 Abstract harmonic analysis (43-XX)
46 Statistical mechanics, structure of matter (82-XX)
43 Associative rings and algebras (16-XX)
41 Computer science (68-XX)
40 \(K\)-theory (19-XX)
40 Functions of a complex variable (30-XX)
38 Optics, electromagnetic theory (78-XX)
37 Biology and other natural sciences (92-XX)
36 Commutative algebra (13-XX)
35 Mechanics of deformable solids (74-XX)
35 Operations research, mathematical programming (90-XX)
27 Category theory; homological algebra (18-XX)
27 Information and communication theory, circuits (94-XX)
26 General topology (54-XX)
26 Statistics (62-XX)
25 Measure and integration (28-XX)
23 Real functions (26-XX)
22 Geometry (51-XX)
17 Special functions (33-XX)
17 Approximations and expansions (41-XX)
15 Field theory and polynomials (12-XX)
13 General and overarching topics; collections (00-XX)
13 Geophysics (86-XX)
11 Difference and functional equations (39-XX)
9 Potential theory (31-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 History and biography (01-XX)
7 Mathematical logic and foundations (03-XX)
7 Integral equations (45-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Sequences, series, summability (40-XX)
5 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)
1 Mathematics education (97-XX)

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