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Weinstein, Alan David

Author ID: weinstein.alan-d Recent zbMATH articles by "Weinstein, Alan David"
Published as: Weinstein, Alan; Weinstein, A.; Weinstein, A. D.
Homepage: https://math.berkeley.edu/~alanw/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

95 single-authored
18 Marsden, Jerrold Eldon
8 Ratiu, Tudor Stefan
7 Dherin, Benoit
7 Lu, Jiang-Hua
6 Blohmann, Christian
6 Cattaneo, Alberto Sergio
6 Xu, Ping
5 Bursztyn, Henrique
5 Tang, Xiang
4 Lorand, Jonathan
4 Maeda, Yoshiaki
3 Dazord, Pierre
3 Guillemin, Victor W.
2 Androulidakis, Iakovos
2 Atiyah, Michael Francis
2 Dito, Giuseppe
2 Emmrich, Claudio
2 Gotay, Mark J.
2 Hofer, Helmut H. W.
2 Holm, Darryl Dallas
2 Kosmann-Schwarzbach, Yvette
2 Leichtnam, Eric
2 Liu, Zhangju
2 Marrero, Juan Carlos
2 Mikami, Kentaro
2 Roytenberg, Dmitry
2 Singer, Isadore Manuel
2 Śniatycki, Jędrzej
2 Wolf, Joseph Albert
2 Zehnder, Eduard J.
2 Zhu, Chenchang
1 Barbosa Fernandes, Marco Cezar
1 Bates, Sean M.
1 Birnir, Bjorn
1 Bloch, Anthony Michael
1 Boutet de Monvel, Louis
1 Burzstyn, Henrique
1 Caines, Peter Edwin
1 Cannas da Silva, Ana
1 Cendra, Hernán
1 Chorin, Alexandre Joel
1 Courant, Theodore James
1 Crainic, Marius
1 Croke, Christopher B.
1 Cushman, Richard H.
1 Dellnitz, Michael
1 Desbrun, Mathieu
1 do Carmo, Manfredo Perdigão
1 Eliashberg, Yakov Matveevich
1 Evens, Sam
1 Fernandes, Rui Loja
1 Floer, Andreas
1 Foecke, Harold
1 Fortune, Barry
1 Ginzburg, Viktor L’vovich
1 Golubitsky, Martin A.
1 Greene, Robert Everist
1 Griffiths, Phillip Augustus
1 Guruprasad, Krishnamurthi
1 Heckman, Gert
1 Hermann, Gabrielle
1 Herrmann, Christian
1 Hirsch, Morris W.
1 Hirzebruch, Friedrich
1 Holmes, Philip J.
1 Hsiang, Wu-Yi
1 Huang, Wenling
1 Huebschmann, Johannes
1 Isenberg, Jim
1 Jeffrey, Lisa Claire
1 Ji, Lizhen
1 Keyfitz, Barbara Lee
1 Kinyon, Michael K.
1 Kobayashi, Shoshichi
1 Kolk, Johan A. C.
1 Kotiuga, Peter Robert
1 Krener, Arthur James
1 Krishnaprasad, P.s.
1 Kuh, Ernest Shiu-jen
1 Laínz, Manuel
1 Lashof, Richard K.
1 Laurent-Gengoux, Camille
1 Leok, Melvin
1 Li-Bland, David
1 Li, Jun
1 Mabuchi, Toshiki
1 McKean, Henry P. jun.
1 Montgomery, Richard
1 Morrison, Philip J.
1 Newton, Paul K.
1 Nguyen Tien Zung
1 Nirenberg, Louis
1 Nistor, Victor
1 Noguchi, Junjiro
1 Ochiai, Takushiro
1 Omori, Hideki
1 Ortiz, Michael
1 Osserman, Robert
1 Pelayo, Alvaro
1 Previato, Emma
...and 30 more Co-Authors
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Serials

9 Journal of Differential Geometry
8 Letters in Mathematical Physics
7 Notices of the American Mathematical Society
5 Communications in Mathematical Physics
5 Bulletin of the American Mathematical Society
4 Duke Mathematical Journal
4 Proceedings of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
3 Communications on Pure and Applied Mathematics
3 Advances in Mathematics
3 Inventiones Mathematicae
3 Pacific Journal of Mathematics
3 Annals of Mathematics. Second Series
3 The Journal of Symplectic Geometry
3 Journal of Geometric Mechanics
2 American Journal of Mathematics
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the American Mathematical Society
2 Comptes Rendus de l’Académie des Sciences. Série I
2 RIMS Kokyuroku
2 Journal of the European Mathematical Society (JEMS)
2 Portugaliae Mathematica. Nova Série
2 Bulletin of the Brazilian Mathematical Society. New Series
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Contemporary Mathematics
2 Progress in Mathematics
2 Berkeley Mathematics Lecture Notes
2 Undergraduate Texts in Mathematics
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics of Fluids
1 Physics Reports
1 Reports on Mathematical Physics
1 Transport Theory and Statistical Physics
1 Journal of Geometry and Physics
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Commentarii Mathematici Helvetici
1 Hokkaido Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Journal of the Faculty of Science. Section I A
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ergodic Theory and Dynamical Systems
1 Physica D
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Transformation Groups
1 Communications in Contemporary Mathematics
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Mathematics and Mechanics
1 Pure and Applied Mathematics Quarterly
1 Mathematical Sciences Research Institute Publications
1 Proceedings of Symposia in Pure Mathematics
1 Regional Conference Series in Mathematics
1 Travaux Mathématiques
1 Geometry and Topology Monographs
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

168 Publications have been cited 6,694 times in 4,654 Documents Cited by Year
Reduction of symplectic manifolds with symmetry. Zbl 0327.58005
Marsden, Jerrold; Weinstein, Alan
536
1974
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. Zbl 0613.35076
Floer, Andreas; Weinstein, Alan
534
1986
The local structure of Poisson manifolds. Zbl 0524.58011
Weinstein, Alan
385
1983
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
276
1985
Manin triples for Lie bialgebroids. Zbl 0885.58030
Liu, Zhangju; Weinstein, Alan; Xu, Ping
244
1997
Symplectic manifolds and their Lagrangian submanifolds. Zbl 0213.48203
Weinstein, A.
223
1971
Lectures on symplectic manifolds. Zbl 0406.53031
Weinstein, Alan
212
1977
Geometric models for noncommutative algebras. Zbl 1135.58300
Cannas da Silva, Ana; Weinstein, Alan
194
1999
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
189
1990
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008
Marsden, Jerrold; Weinstein, Alan
143
1983
Normal modes for nonlinear Hamiltonian systems. Zbl 0264.70020
Weinstein, Alan
142
1973
Poisson geometry with a 3-form background. Zbl 1029.53090
Ševera, Pavol; Weinstein, Alan
134
2001
Symplectic groupoids and Poisson manifolds. Zbl 0618.58020
Weinstein, Alan
128
1987
Symplectic groupoids. (Groupoïdes symplectiques.) Zbl 0668.58017
Coste, A.; Dazord, P.; Weinstein, A.
117
1987
Semidirect products and reduction in mechanics. Zbl 0529.58011
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
116
1984
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
112
1982
Periodic orbits for convex hamiltonian systems. Zbl 0403.58001
Weinstein, Alan
110
1978
Asymptotics of eigenvalue clusters for the Laplacian plus a potential. Zbl 0385.58013
Weinstein, Alan
107
1977
Contact surgery and symplectic handlebodies. Zbl 0737.57012
Weinstein, Alan
100
1991
The modular automorphism group of a Poisson manifold. Zbl 0902.58013
Weinstein, Alan
93
1997
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
92
1999
Coisotropic calculus and Poisson groupoids. Zbl 0642.58025
Weinstein, Alan
88
1988
Pseudodifferential operators on differential groupoids. Zbl 0940.58014
Nistor, Victor; Weinstein, Alan; Xu, Ping
85
1999
A universal phase space for particles in Yang-Mills fields. Zbl 0388.58010
Weinstein, Alan
77
1978
Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001
Kinyon, Michael K.; Weinstein, Alan
73
2001
Lectures on the geometry of quantization. Zbl 1049.53061
Bates, Sean; Weinstein, Alan
73
1997
Lagrangian mechanics and groupoids. Zbl 0844.22007
Weinstein, Alan
72
1996
On the hypotheses of Rabinowitz’ periodic orbit theorems. Zbl 0388.58020
Weinstein, Alan
69
1979
Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006
Roytenberg, Dmitry; Weinstein, Alan
68
1998
Integration of twisted Dirac brackets. Zbl 1067.58016
Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang
63
2004
Lagrangian submanifolds and Hamiltonian systems. Zbl 0271.58008
Weinstein, Alan
62
1973
Fat bundles and symplectic manifolds. Zbl 0449.53035
Weinstein, Alan
57
1980
Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015
Weinstein, Alan; Xu, Ping
56
1992
Beyond Poisson structures. Zbl 0698.58020
Courant, Ted; Weinstein, Alan
56
1988
Symplectic geometry. Zbl 0465.58013
Weinstein, Alan
53
1981
Extensions of symplectic groupoids and quantization. Zbl 0722.58021
Weinstein, Alan; Xu, Ping
52
1991
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507
Weinstein, Alan
50
1996
Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018
Ginzburg, Viktor L.; Weinstein, Alan
47
1992
Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042
Sheu, Albert Jeu-Liang
44
1991
Moments and reduction for symplectic groupoids. Zbl 0659.58016
Mikami, Kentaro; Weinstein, Alan
40
1988
Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011
Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A.
34
1997
Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. Zbl 0546.58025
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
34
1984
Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015
Weinstein, Alan
34
1990
Poisson geometry. Zbl 0930.37032
Weinstein, Alan
33
1998
Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074
Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping
33
1998
The cut locus and conjugate locus of a riemannian manifold. Zbl 0159.23902
Weinstein, A. D.
33
1968
Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. Zbl 0577.58013
Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G.
33
1983
Linearization of regular proper groupoids. Zbl 1043.58009
Weinstein, Alan
32
2002
On the volume of manifolds all of whose geodesics are closed. Zbl 0289.53032
Weinstein, Alan
30
1974
Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039
Emmrich, C.; Weinstein, A.
28
1996
Symplectic V-manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds. Zbl 0339.58007
Weinstein, Alan
26
1977
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
25
1989
Closed forms on symplectic fibre bundles. Zbl 0536.53040
Gotay, Mark J.; Lashof, Richard; Śniatycki, Jedrzej; Weinstein, Alan
24
1983
Reduction and quantization for singular momentum mappings. Zbl 0518.58020
Sniatycki, Jedrzej; Weinstein, Alan
23
1983
A symbol class for some Schrödinger equations on \({\mathbb{R}}^ n\). Zbl 0574.35023
Weinstein, Alan
21
1985
Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie. Zbl 0172.46701
Simon, U.; Weinstein, A.
21
1969
Fourier integral operators, quantization, and the spectra of Riemannian manifolds. Zbl 0327.58013
Weinstein, Alan
21
1975
Cohomology of symplectomorphism groups and critical values of Hamiltonians. Zbl 0644.57024
Weinstein, Alan
20
1989
Poisson geometry of the principal series and nonlinearizable structures. Zbl 0592.58024
Weinstein, Alan
19
1987
A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013
Fortune, Barry; Weinstein, Alan
18
1985
Bifurcations and Hamilton’s principle. Zbl 0366.58003
Weinstein, Alan
18
1978
Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060
Weinstein, Alan
17
2001
The rigidity of sine-Gordon breathers. Zbl 0814.35112
Birnir, Björn; McKean, Henry P.; Weinstein, Alan
17
1994
The symplectic ”category”. Zbl 0486.58017
Weinstein, Alan
17
1982
Hamiltonian structure for drift waves and geostrophic flow. Zbl 0516.76125
Weinstein, Alan
17
1983
Symplectic categories. Zbl 1193.53173
Weinstein, Alan
17
2010
Groupoid symmetry and constraints in general relativity. Zbl 1261.83006
Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan
17
2013
The symplectic structure on moduli space. Zbl 0834.58011
Weinstein, A.
16
1995
Omni-Lie algebras. Zbl 1058.58503
Weinstein, Alan
15
2000
Poisson geometry and Morita equivalence. Zbl 1075.53082
Bursztyn, Henrique; Weinstein, Alan
15
2005
The Hamiltonian structure of the BBGKY hierarchy equations. Zbl 0553.58014
Marsden, Jerrold E.; Morrison, Philip J.; Weinstein, Alan
15
1984
Modular classes of Lie algebroid morphisms. Zbl 1167.53068
Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A.
15
2008
Relative modular classes of Lie algebroids. Zbl 1080.22001
Kosmann-Schwarzbach, Yvette; Weinstein, Alan
15
2005
Deformation quantization. Zbl 0854.58026
Weinstein, Alan
14
1995
The differential geometry of Fedosov’s quantization. Zbl 0846.58031
Emmrich, Claudio; Weinstein, Alan
14
1994
Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086
Marsden, Jerrold E.; Weinstein, Alan
14
2001
Positively curved n-manifolds in \(R^{n+2}\). Zbl 0194.52903
Weinstein, A.
14
1970
Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055
Weinstein, Alan; Xu, Ping
14
1998
Picard groups in Poisson geometry. Zbl 1068.53055
Bursztyn, Henrique; Weinstein, Alan
14
2004
Perturbation of periodic manifolds of Hamiltonian systems. Zbl 0218.58006
Weinstein, A.
13
1971
Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004
Weinstein, Alan
12
2000
Affine Poisson structures. Zbl 0725.58014
Weinstein, Alan
12
1990
Symplectic microgeometry. III: Monoids. Zbl 1281.53079
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
12
2013
Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
12
2010
Symplectic groupoids, geometric quantization, and irrational rotation algebras. Zbl 0731.58031
Weinstein, Alan
11
1991
On the homotopy type of positively-pinched manifolds. Zbl 0166.17601
Weinstein, A.
11
1967
Finite dimensional Lie-Poisson approximations to Vlasov-Poisson equations. Zbl 0810.35093
Scovel, Clint; Weinstein, Alan
11
1994
The volume of a differentiable stack. Zbl 1185.58007
Weinstein, Alan
11
2009
Closed curves on convex hypersurfaces and periods of nonlinear oscillations. Zbl 0471.70020
Croke, Christopher B.; Weinstein, Alan
11
1981
Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025
Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan
11
1984
Symplectic structures on Banach manifolds. Zbl 0179.50104
Weinstein, A.
11
1969
Periodic nonlinear waves on a half-line. Zbl 0585.35003
Weinstein, Alan
11
1985
Errata and addenda. Zbl 0596.58018
Weinstein, Alan
11
1985
Some remarks on dressing transformations. Zbl 0653.58012
Weinstein, Alan
10
1988
The invariance of Poincaré’s generating function for canonical transformations. Zbl 0235.70008
Weinstein, Alan
10
1972
The integration problem for complex Lie algebroids. Zbl 1165.53376
Weinstein, Alan
10
2007
Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004
Weinstein, Alan
10
1989
Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024
Weinstein, Alan
9
1994
The Floer memorial volume. Zbl 0824.00019
9
1995
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1002.20032
Weinstein, Alan
9
2001
Categories of (co)isotropic linear relations. Zbl 1388.18002
Weinstein, Alan
1
2017
Decomposition of (co)isotropic relations. Zbl 1362.18005
Lorand, Jonathan; Weinstein, Alan
2
2016
(Co)isotropic pairs in Poisson and presymplectic vector spaces. Zbl 1327.15023
Lorand, Jonathan; Weinstein, Alan
3
2015
Selective categories and linear canonical relations. Zbl 1325.53116
Li-Bland, David; Weinstein, Alan
5
2014
Groupoid symmetry and constraints in general relativity. Zbl 1261.83006
Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan
17
2013
Symplectic microgeometry. III: Monoids. Zbl 1281.53079
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
12
2013
Integration of Lie algebroid comorphisms. Zbl 1280.58010
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
6
2013
The Maslov cycle as a Legendre singularity and projection of a wavefront set. Zbl 1298.53080
Weinstein, Alan
3
2013
Symplectic microgeometry II: Generating functions. Zbl 1243.53121
Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan
8
2011
A note on the Wehrheim-Woodward category. Zbl 1257.53111
Weinstein, Alan
4
2011
Asymptotic equivariant index of Toeplitz operators and relative index of CR structures. Zbl 1257.58015
Boutet de Monvel, Louis; Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
4
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
2
2011
Lectures on Poisson geometry. Based on a summer school, Trieste, Italy, July 4–22, 2005. Zbl 1214.53009
1
2011
Symplectic categories. Zbl 1193.53173
Weinstein, Alan
17
2010
Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
12
2010
The volume of a differentiable stack. Zbl 1185.58007
Weinstein, Alan
11
2009
Modular classes of Lie algebroid morphisms. Zbl 1167.53068
Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A.
15
2008
Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002
2
2008
Group like objects in Poisson geometry and algebra. Zbl 1151.53067
Blohmann, Christian; Weinstein, Alan
2
2008
Hopfish structure and modules over irrational rotation algebras. Zbl 1163.16304
Blohmann, Christian; Tang, Xiang; Weinstein, Alan
2
2008
The integration problem for complex Lie algebroids. Zbl 1165.53376
Weinstein, Alan
10
2007
Poisson geometry and deformation quantization near a strictly pseudoconvex boundary. Zbl 1146.53072
Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
8
2007
Hopfish algebras. Zbl 1169.16026
Tang, Xiang; Weinstein, Alan; Zhu, Chenchang
8
2007
Poisson geometry and Morita equivalence. Zbl 1075.53082
Bursztyn, Henrique; Weinstein, Alan
15
2005
Relative modular classes of Lie algebroids. Zbl 1080.22001
Kosmann-Schwarzbach, Yvette; Weinstein, Alan
15
2005
Variations on prequantization. Zbl 1119.53060
Weinstein, Alan; Zambon, Marco
6
2005
Integration of twisted Dirac brackets. Zbl 1067.58016
Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang
63
2004
Picard groups in Poisson geometry. Zbl 1068.53055
Bursztyn, Henrique; Weinstein, Alan
14
2004
Quantization and Morita equivalence for constant Dirac structures on tori. Zbl 1068.46044
Weinstein, Alan; Tang, Xiang
7
2004
The Maslov gerbe. Zbl 1080.53080
Weinstein, Alan
6
2004
Linearization of regular proper groupoids. Zbl 1043.58009
Weinstein, Alan
32
2002
Geometry, mechanics, and dynamics. Volume in honor of the 60th birthday of J. E. Marsden. Zbl 0993.00007
7
2002
Poisson geometry with a 3-form background. Zbl 1029.53090
Ševera, Pavol; Weinstein, Alan
134
2001
Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001
Kinyon, Michael K.; Weinstein, Alan
73
2001
Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060
Weinstein, Alan
17
2001
Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086
Marsden, Jerrold E.; Weinstein, Alan
14
2001
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1002.20032
Weinstein, Alan
9
2001
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010
Hirsch, Morris W.; Weinstein, Alan
7
2001
Omni-Lie algebras. Zbl 1058.58503
Weinstein, Alan
15
2000
Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004
Weinstein, Alan
12
2000
Almost invariant submanifolds for compact group actions. Zbl 0957.53021
Weinstein, Alan
8
2000
Self-similarity of Poisson structures on tori. Zbl 1010.53058
Mikami, Kentaro; Weinstein, Alan
1
2000
Geometric models for noncommutative algebras. Zbl 1135.58300
Cannas da Silva, Ana; Weinstein, Alan
194
1999
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
92
1999
Pseudodifferential operators on differential groupoids. Zbl 0940.58014
Nistor, Victor; Weinstein, Alan; Xu, Ping
85
1999
Northern California symplectic geometry seminar. Zbl 0930.00050
4
1999
Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006
Roytenberg, Dmitry; Weinstein, Alan
68
1998
Poisson geometry. Zbl 0930.37032
Weinstein, Alan
33
1998
Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074
Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping
33
1998
Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055
Weinstein, Alan; Xu, Ping
14
1998
Manin triples for Lie bialgebroids. Zbl 0885.58030
Liu, Zhangju; Weinstein, Alan; Xu, Ping
244
1997
The modular automorphism group of a Poisson manifold. Zbl 0902.58013
Weinstein, Alan
93
1997
Lectures on the geometry of quantization. Zbl 1049.53061
Bates, Sean; Weinstein, Alan
73
1997
Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011
Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A.
34
1997
Courant algebroids and strongly homotopy Lie algebras. Zbl 0970.17012
Roytenberg, Dmitry; Weinstein, Alan
9
1997
Tangential deformation quantization and polarized symplectic groupoids. Zbl 1166.53324
Weinstein, Alan
6
1997
Some questions about the index of quantized contact transformations. Zbl 0943.58019
Weinstein, Alan
5
1997
Lagrangian mechanics and groupoids. Zbl 0844.22007
Weinstein, Alan
72
1996
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507
Weinstein, Alan
50
1996
Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039
Emmrich, C.; Weinstein, A.
28
1996
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
7
1996
The symplectic structure on moduli space. Zbl 0834.58011
Weinstein, A.
16
1995
Deformation quantization. Zbl 0854.58026
Weinstein, Alan
14
1995
The Floer memorial volume. Zbl 0824.00019
9
1995
The rigidity of sine-Gordon breathers. Zbl 0814.35112
Birnir, Björn; McKean, Henry P.; Weinstein, Alan
17
1994
The differential geometry of Fedosov’s quantization. Zbl 0846.58031
Emmrich, Claudio; Weinstein, Alan
14
1994
Finite dimensional Lie-Poisson approximations to Vlasov-Poisson equations. Zbl 0810.35093
Scovel, Clint; Weinstein, Alan
11
1994
Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024
Weinstein, Alan
9
1994
Classical theta functions and quantum tori. Zbl 0799.33013
Weinstein, Alan
2
1994
Basic multivariable calculus. Zbl 0771.26001
Marsden, Jerrold E.; Tromba, Anthony J.; Weinstein, Alan
1
1993
Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015
Weinstein, Alan; Xu, Ping
56
1992
Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018
Ginzburg, Viktor L.; Weinstein, Alan
47
1992
Contact surgery and symplectic handlebodies. Zbl 0737.57012
Weinstein, Alan
100
1991
Extensions of symplectic groupoids and quantization. Zbl 0722.58021
Weinstein, Alan; Xu, Ping
52
1991
Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042
Sheu, Albert Jeu-Liang
44
1991
Symplectic groupoids, geometric quantization, and irrational rotation algebras. Zbl 0731.58031
Weinstein, Alan
11
1991
Noncommutative geometry and geometric quantization. Zbl 0756.58022
Weinstein, Alan
8
1991
Symplectic geometry, groupoids, and integrable systems. Séminaire Sud Rhodanien de géométrie VI à Berkeley, CA (USA), May 22 - June 2, 1989. Zbl 0722.00026
2
1991
Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013
Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan
2
1991
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
189
1990
Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015
Weinstein, Alan
34
1990
Affine Poisson structures. Zbl 0725.58014
Weinstein, Alan
12
1990
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
25
1989
Cohomology of symplectomorphism groups and critical values of Hamiltonians. Zbl 0644.57024
Weinstein, Alan
20
1989
Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004
Weinstein, Alan
10
1989
Coisotropic calculus and Poisson groupoids. Zbl 0642.58025
Weinstein, Alan
88
1988
Beyond Poisson structures. Zbl 0698.58020
Courant, Ted; Weinstein, Alan
56
1988
Moments and reduction for symplectic groupoids. Zbl 0659.58016
Mikami, Kentaro; Weinstein, Alan
40
1988
Some remarks on dressing transformations. Zbl 0653.58012
Weinstein, Alan
10
1988
Symplectic groupoids and Poisson manifolds. Zbl 0618.58020
Weinstein, Alan
128
1987
Symplectic groupoids. (Groupoïdes symplectiques.) Zbl 0668.58017
Coste, A.; Dazord, P.; Weinstein, A.
117
1987
Poisson geometry of the principal series and nonlinearizable structures. Zbl 0592.58024
Weinstein, Alan
19
1987
Some problems in symplectic geometry. Zbl 0624.53023
Weinstein, A.
1
1987
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. Zbl 0613.35076
Floer, Andreas; Weinstein, Alan
534
1986
On extending the Conley-Zehnder fixed point theorem to other manifolds. Zbl 0599.58014
Weinstein, Alan
4
1986
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
276
1985
A symbol class for some Schrödinger equations on \({\mathbb{R}}^ n\). Zbl 0574.35023
Weinstein, Alan
21
1985
A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013
Fortune, Barry; Weinstein, Alan
18
1985
Periodic nonlinear waves on a half-line. Zbl 0585.35003
Weinstein, Alan
11
1985
Errata and addenda. Zbl 0596.58018
Weinstein, Alan
11
1985
...and 68 more Documents
all top 5

Cited by 4,047 Authors

57 Marsden, Jerrold Eldon
51 Ratiu, Tudor Stefan
51 Weinstein, Alan David
47 Holm, Darryl Dallas
35 Alves, Claudianor Oliveira
35 Sheng, Yunhe
34 Xu, Ping
32 de León Rodríguez, Manuel
32 Wei, Juncheng
28 Esen, Oğul
28 Gay-Balmaz, François
27 Guillemin, Victor W.
25 Liu, Zhangju
25 Martín de Diego, David
25 Zambon, Marco
23 Cattaneo, Alberto Sergio
21 Grabowski, Janusz
21 Marrero, Juan Carlos
21 Stiénon, Mathieu
20 Miranda, Eva
20 Wang, Zhi-Qiang
19 Grmela, Miroslav
19 Long, Yiming
19 Strobl, Thomas
19 Yang, Minbo
18 Fernandes, Rui Loja
18 Laurent-Gengoux, Camille
17 Bursztyn, Henrique
17 Liu, Hui
17 Śniatycki, Jędrzej
17 Waldmann, Stefan
16 Bloch, Anthony Michael
16 Ginzburg, Viktor L’vovich
16 Hernández-Bermejo, Benito
16 Oh, Yong-Geun
16 Uribe, Alejandro
16 Vaisman, Izu
15 Ding, Yanheng
15 Figueiredo, Giovany Malcher
15 Ibort, Alberto
15 Ikeda, Noriaki
15 Karasev, Mikhail Vladimirovich
15 Morrison, Philip J.
14 Cabrera, Alejandro
14 Crainic, Marius
14 Janeczko, Stanisław
14 Ohsawa, Tomoki
14 Ortega, Juan-Pablo
14 Palacián, Jesús F.
14 Pavelka, Michal
14 Peng, Shuangjie
14 Tronci, Cesare
14 Vizman, Cornelia
14 Vorob’ev, Yu. M.
14 Zhang, Jianjun
13 Alekseev, Anton Yur’evich
13 Chen, Zhuo
13 Rump, Wolfgang
13 Tang, Zhongwei
13 Zhu, Chenchang
12 Ambrosio, Vincenzo
12 Das, Apurba
12 Del Pino, Manuel A.
12 Hofer, Helmut H. W.
12 Jotz Lean, Madeleine
12 Kosmann-Schwarzbach, Yvette
12 Marmo, Giuseppe
12 Nistor, Victor
12 Puta, Mircea
12 Tanaka, Kazunaga
12 Tang, Xiang
12 Wade, Aïssa
12 Wang, Wei
12 Yanguas, Patricia
12 Yoshimura, Hiroaki
11 Cingolani, Silvia
11 Do Ó, João M. Bezerra
11 Eliashberg, Yakov Matveevich
11 Geiges, Hansjörg
11 Gotay, Mark J.
11 Khesin, Boris A.
11 Krishnaprasad, P.s.
11 Liang, Sihua
11 Meinrenken, Eckhard
11 Meyer, Kenneth R.
11 Sternberg, Shlomo
11 Wallace, Rodrick
11 Wiggins, Stephen R.
10 Bates, Larry M.
10 Birtea, Petre
10 Bonechi, Francesco
10 Chatzistavrakidis, Athanasios
10 Colin de Verdière, Yves
10 Felmer, Patricio L.
10 Gualtieri, Marco
10 Gümral, Hasan
10 Huebschmann, Johannes
10 Jurčo, Branislav
10 Kotov, Alexei
10 Li, Gongbao
...and 3,947 more Authors
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Cited in 480 Serials

302 Journal of Geometry and Physics
210 Journal of Mathematical Physics
195 Communications in Mathematical Physics
130 Letters in Mathematical Physics
123 Advances in Mathematics
112 Journal of Differential Equations
101 Physica D
84 Differential Geometry and its Applications
73 Transactions of the American Mathematical Society
67 Journal of High Energy Physics
63 Reports on Mathematical Physics
63 Calculus of Variations and Partial Differential Equations
62 Journal of Functional Analysis
56 Duke Mathematical Journal
54 Journal of Geometric Mechanics
52 International Journal of Geometric Methods in Modern Physics
48 Inventiones Mathematicae
48 Mathematische Annalen
47 Mathematische Zeitschrift
46 Journal of Mathematical Analysis and Applications
45 Archive for Rational Mechanics and Analysis
42 Annales de l’Institut Fourier
38 Proceedings of the American Mathematical Society
38 Journal of Physics A: Mathematical and Theoretical
37 Physics Letters. A
34 Journal of Nonlinear Science
33 Reviews in Mathematical Physics
33 Annals of Global Analysis and Geometry
33 Regular and Chaotic Dynamics
32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Communications in Contemporary Mathematics
30 Journal of Fluid Mechanics
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
28 Journal of Algebra
27 Geometry & Topology
27 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
26 Nuclear Physics. B
26 The Journal of Geometric Analysis
26 Annals of Physics
25 Journal of Pure and Applied Algebra
24 Discrete and Continuous Dynamical Systems
23 Nonlinearity
23 Indagationes Mathematicae. New Series
23 Journal of Fixed Point Theory and Applications
22 Acta Applicandae Mathematicae
22 International Journal of Mathematics
22 Bulletin of the American Mathematical Society. New Series
21 Communications in Partial Differential Equations
19 Theoretical and Mathematical Physics
19 Geometriae Dedicata
19 Boundary Value Problems
18 Communications in Algebra
18 Israel Journal of Mathematics
18 Journal für die Reine und Angewandte Mathematik
18 Geometric and Functional Analysis. GAFA
18 Transformation Groups
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 Compositio Mathematica
17 Manuscripta Mathematica
17 Annales Henri Poincaré
17 Algebraic & Geometric Topology
16 Mathematical Notes
16 Pacific Journal of Mathematics
16 Journal of Mathematical Sciences (New York)
15 International Journal of Theoretical Physics
15 Annales de l’Institut Henri Poincaré. Physique Théorique
15 Journal of Noncommutative Geometry
13 Journal of Statistical Physics
13 Tôhoku Mathematical Journal. Second Series
13 Topology and its Applications
13 Ergodic Theory and Dynamical Systems
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
13 Advanced Nonlinear Studies
13 Mediterranean Journal of Mathematics
12 Communications on Pure and Applied Mathematics
12 Journal of Computational Physics
12 Fortschritte der Physik
12 Publications of the Research Institute for Mathematical Sciences, Kyoto University
12 Acta Mathematica Sinica. English Series
12 Bulletin of the Brazilian Mathematical Society. New Series
11 Monatshefte für Mathematik
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Celestial Mechanics and Dynamical Astronomy
11 Russian Journal of Mathematical Physics
11 Physics of Fluids
11 Bulletin des Sciences Mathématiques
11 Communications in Nonlinear Science and Numerical Simulation
11 Journal of Nonlinear Mathematical Physics
11 Communications on Pure and Applied Analysis
11 Nonlinear Analysis. Theory, Methods & Applications
10 International Journal of Modern Physics A
10 Computers & Mathematics with Applications
10 Bulletin de la Société Mathématique de France
10 Functional Analysis and its Applications
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Journal of Dynamics and Differential Equations
10 Journal of Lie Theory
...and 380 more Serials
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Cited in 63 Fields

1,912 Differential geometry (53-XX)
1,094 Dynamical systems and ergodic theory (37-XX)
959 Partial differential equations (35-XX)
801 Global analysis, analysis on manifolds (58-XX)
722 Mechanics of particles and systems (70-XX)
703 Quantum theory (81-XX)
528 Nonassociative rings and algebras (17-XX)
347 Manifolds and cell complexes (57-XX)
342 Topological groups, Lie groups (22-XX)
312 Fluid mechanics (76-XX)
181 Ordinary differential equations (34-XX)
178 Algebraic geometry (14-XX)
170 Associative rings and algebras (16-XX)
142 Functional analysis (46-XX)
136 Several complex variables and analytic spaces (32-XX)
127 Statistical mechanics, structure of matter (82-XX)
123 Operator theory (47-XX)
113 Relativity and gravitational theory (83-XX)
106 Category theory; homological algebra (18-XX)
104 Algebraic topology (55-XX)
86 Calculus of variations and optimal control; optimization (49-XX)
80 Group theory and generalizations (20-XX)
71 Numerical analysis (65-XX)
59 Optics, electromagnetic theory (78-XX)
54 \(K\)-theory (19-XX)
51 Systems theory; control (93-XX)
47 Mechanics of deformable solids (74-XX)
29 Geophysics (86-XX)
28 Convex and discrete geometry (52-XX)
28 Biology and other natural sciences (92-XX)
26 Probability theory and stochastic processes (60-XX)
25 Combinatorics (05-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
23 Classical thermodynamics, heat transfer (80-XX)
19 Commutative algebra (13-XX)
17 Special functions (33-XX)
15 Computer science (68-XX)
15 Astronomy and astrophysics (85-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Abstract harmonic analysis (43-XX)
13 General and overarching topics; collections (00-XX)
13 History and biography (01-XX)
13 General topology (54-XX)
12 Measure and integration (28-XX)
12 Potential theory (31-XX)
12 Information and communication theory, circuits (94-XX)
11 Statistics (62-XX)
10 Real functions (26-XX)
9 Integral equations (45-XX)
8 Number theory (11-XX)
8 Functions of a complex variable (30-XX)
8 Geometry (51-XX)
7 Mathematical logic and foundations (03-XX)
6 Difference and functional equations (39-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Approximations and expansions (41-XX)
5 Integral transforms, operational calculus (44-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Operations research, mathematical programming (90-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Mathematics education (97-XX)
1 Sequences, series, summability (40-XX)

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