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## Weinstein, Alan David

Compute Distance To:
 Author ID: weinstein.alan-d Published as: Vainshtein, A.; Weinstein, A.; Weinstein, A. D.; Weinstein, Alan External Links: MGP · Math-Net.Ru · Wikidata · GND
 Documents Indexed: 185 Publications since 1967, including 23 Books Biographic References: 1 Publication
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#### Co-Authors

 92 single-authored 17 Marsden, Jerrold Eldon 8 Ratiu, Tudor Stefan 6 Lu, Jiang-Hua 6 Xu, Ping 5 Tang, Xiang 4 Cattaneo, Alberto Sergio 4 Dherin, Benoit 4 Maeda, Yoshiaki 3 Blohmann, Christian 3 Bursztyn, Henrique 3 Dazord, Pierre 3 Guillemin, Victor W. 2 Atiyah, Michael Francis 2 Dito, Giuseppe 2 Emmrich, Claudio 2 Gotay, Mark J. 2 Hofer, Helmut H. W. 2 Holm, Darryl D. 2 Kosmann-Schwarzbach, Yvette 2 Leichtnam, Eric 2 Liu, Zhangju 2 Mikami, Kentaro 2 Roytenberg, Dmitry 2 Singer, Isadore M. 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 M. 1 Boutet de Monvel, Louis 1 Cannas da Silva, Ana 1 Cendra, Hernán 1 Chorin, Alexandre Joel 1 Coste, Alain 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 M. 1 Evens, Sam 1 Floer, Andreas 1 Fortune, Barry 1 Fuchs, Dirk 1 Ginzburg, Viktor L’vovich 1 Golubitsky, Martin A. 1 Greene, Robert Everist 1 Guruprasad, Krishnamurthi 1 Heckman, Gert 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 C. 1 Ji, Lizhen 1 Keyfitz, Barbara Lee 1 Kinyon, Michael K. 1 Kobayashi, Shoshichi 1 Kolk, Johan A. C. 1 Krishnaprasad, P.s. 1 Kuh, Ernest Shiu-jen 1 Lashof, Richard K. 1 Laurent-Gengoux, Camille 1 Li, Jun 1 Mabuchi, Toshiki 1 Marsden, Alison L. 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 Raugel, Geneviève 1 Reich, Karin 1 Reshetikhin, Nikolai Yu. 1 Roels, Jacques 1 Scheurle, Jürgen 1 Schmid, Rudolf 1 Scovel, Clint 1 Ševera, Pavol 1 Shen, Y. Ron 1 Simon, Udo 1 Sjamaar, Reyer 1 Sjöstrand, Johannes 1 Sondaz, Daniel ...and 12 more Co-Authors
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#### Serials

 9 Journal of Differential Geometry 7 Letters in Mathematical Physics 5 Notices of the American Mathematical Society 5 Bulletin of the American Mathematical Society 4 Communications in Mathematical Physics 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 Annals of Mathematics. Second Series 2 American Journal of Mathematics 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 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 The Journal of Symplectic Geometry 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Contemporary Mathematics 2 Progress in Mathematics 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 The Quarterly Journal of Mathematics. Oxford Second Series 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 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 Journal of Geometric Mechanics 1 Translations. Series 2. American Mathematical Society
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#### Fields

 100 Differential geometry (53-XX) 58 Global analysis, analysis on manifolds (58-XX) 57 Dynamical systems and ergodic theory (37-XX) 20 Mechanics of particles and systems (70-XX) 17 Topological groups, Lie groups (22-XX) 17 Quantum theory (81-XX) 16 Partial differential equations (35-XX) 15 Manifolds and cell complexes (57-XX) 13 Nonassociative rings and algebras (17-XX) 12 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 7 Functional analysis (46-XX) 6 Associative rings and algebras (16-XX) 6 Real functions (26-XX) 6 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 5 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

162 Publications have been cited 5,088 times in 3,598 Documents Cited by Year
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. Zbl 0613.35076
Floer, Andreas; Weinstein, Alan
1986
Reduction of symplectic manifolds with symmetry. Zbl 0327.58005
Marsden, Jerrold; Weinstein, Alan
1974
The local structure of Poisson manifolds. Zbl 0524.58011
Weinstein, Alan
1983
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
1985
Lectures on symplectic manifolds. Zbl 0406.53031
Weinstein, Alan
1977
Symplectic manifolds and their Lagrangian submanifolds. Zbl 0213.48203
Weinstein, A.
1971
Manin triples for Lie bialgebroids. Zbl 0885.58030
Liu, Zhangju; Weinstein, Alan; Xu, Ping
1997
Geometric models for noncommutative algebras. Zbl 1135.58300
Cannas da Silva, Ana; Weinstein, Alan
1999
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
1990
Normal modes for nonlinear Hamiltonian systems. Zbl 0264.70020
Weinstein, Alan
1973
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008
Marsden, Jerrold; Weinstein, Alan
1983
Symplectic groupoids and Poisson manifolds. Zbl 0618.58020
Weinstein, Alan
1987
Periodic orbits for convex hamiltonian systems. Zbl 0403.58001
Weinstein, Alan
1978
Asymptotics of eigenvalue clusters for the Laplacian plus a potential. Zbl 0385.58013
Weinstein, Alan
1977
Poisson geometry with a 3-form background. Zbl 1029.53090
Ševera, Pavol; Weinstein, Alan
2001
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
1999
Semidirect products and reduction in mechanics. Zbl 0529.58011
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
1984
The modular automorphism group of a Poisson manifold. Zbl 0902.58013
Weinstein, Alan
1997
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
1982
Symplectic groupoids. Zbl 0668.58017
Coste, A.; Dazord, P.; Weinstein, A.
1987
Coisotropic calculus and Poisson groupoids. Zbl 0642.58025
Weinstein, Alan
1988
Pseudodifferential operators on differential groupoids. Zbl 0940.58014
Nistor, Victor; Weinstein, Alan; Xu, Ping
1999
Contact surgery and symplectic handlebodies. Zbl 0737.57012
Weinstein, Alan
1991
A universal phase space for particles in Yang-Mills fields. Zbl 0388.58010
Weinstein, Alan
1978
Lagrangian mechanics and groupoids. Zbl 0844.22007
Weinstein, Alan
1996
Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006
Roytenberg, Dmitry; Weinstein, Alan
1998
Lagrangian submanifolds and Hamiltonian systems. Zbl 0271.58008
Weinstein, Alan
1973
On the hypotheses of Rabinowitz’ periodic orbit theorems. Zbl 0388.58020
Weinstein, Alan
1979
Lectures on the geometry of quantization. Zbl 1049.53061
Bates, Sean; Weinstein, Alan
1997
Fat bundles and symplectic manifolds. Zbl 0449.53035
Weinstein, Alan
1980
Integration of twisted Dirac brackets. Zbl 1067.58016
Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang
2004
Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001
Kinyon, Michael K.; Weinstein, Alan
2001
Extensions of symplectic groupoids and quantization. Zbl 0722.58021
Weinstein, Alan; Xu, Ping
1991
Symplectic geometry. Zbl 0465.58013
Weinstein, Alan
1981
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507
Weinstein, Alan
1996
Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015
Weinstein, Alan; Xu, Ping
1992
Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018
Ginzburg, Viktor L.; Weinstein, Alan
1992
Moments and reduction for symplectic groupoids. Zbl 0659.58016
Mikami, Kentaro; Weinstein, Alan
1988
Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015
Weinstein, Alan
1990
The cut locus and conjugate locus of a riemannian manifold. Zbl 0159.23902
Weinstein, A. D.
1968
Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074
Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping
1998
Beyond Poisson structures. Zbl 0698.58020
Courant, Ted; Weinstein, Alan
1988
On the volume of manifolds all of whose geodesics are closed. Zbl 0289.53032
Weinstein, Alan
1974
Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. Zbl 0577.58013
Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G.
1983
Linearization of regular proper groupoids. Zbl 1043.58009
Weinstein, Alan
2002
Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039
Emmrich, C.; Weinstein, A.
1996
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
1989
Closed forms on symplectic fibre bundles. Zbl 0536.53040
Gotay, Mark J.; Lashof, Richard; Śniatycki, Jedrzej; Weinstein, Alan
1983
Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie. Zbl 0172.46701
Simon, U.; Weinstein, A.
1969
Symplectic V-manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds. Zbl 0339.58007
Weinstein, Alan
1977
Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011
Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A.
1997
A symbol class for some Schrödinger equations on $${\mathbb{R}}^ n$$. Zbl 0574.35023
Weinstein, Alan
1985
Bifurcations and Hamilton’s principle. Zbl 0366.58003
Weinstein, Alan
1978
Cohomology of symplectomorphism groups and critical values of Hamiltonians. Zbl 0644.57024
Weinstein, Alan
1989
Poisson geometry of the principal series and nonlinearizable structures. Zbl 0592.58024
Weinstein, Alan
1987
Reduction and quantization for singular momentum mappings. Zbl 0518.58020
Sniatycki, Jedrzej; Weinstein, Alan
1983
Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. Zbl 0546.58025
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
1984
Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055
Weinstein, Alan; Xu, Ping
1998
A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013
Fortune, Barry; Weinstein, Alan
1985
Positively curved n-manifolds in $$R^{n+2}$$. Zbl 0194.52903
Weinstein, A.
1970
Modular classes of Lie algebroid morphisms. Zbl 1167.53068
Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A.
2008
The rigidity of sine-Gordon breathers. Zbl 0814.35112
Birnir, Björn; McKean, Henry P.; Weinstein, Alan
1994
Hamiltonian structure for drift waves and geostrophic flow. Zbl 0516.76125
Weinstein, Alan
1983
Relative modular classes of Lie algebroids. Zbl 1080.22001
Kosmann-Schwarzbach, Yvette; Weinstein, Alan
2005
Picard groups in Poisson geometry. Zbl 1068.53055
Bursztyn, Henrique; Weinstein, Alan
2004
Poisson geometry. Zbl 0930.37032
Weinstein, Alan
1998
The symplectic structure on moduli space. Zbl 0834.58011
Weinstein, A.
1995
Deformation quantization. Zbl 0854.58026
Weinstein, Alan
1995
Poisson geometry and Morita equivalence. Zbl 1075.53082
Bursztyn, Henrique; Weinstein, Alan
2005
Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060
Weinstein, Alan
2001
The differential geometry of Fedosov’s quantization. Zbl 0846.58031
Emmrich, Claudio; Weinstein, Alan
1994
Affine Poisson structures. Zbl 0725.58014
Weinstein, Alan
1990
Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025
Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan
1984
Fourier integral operators, quantization, and the spectra of Riemannian manifolds. Zbl 0327.58013
Weinstein, Alan
1975
Symplectic structures on Banach manifolds. Zbl 0179.50104
Weinstein, A.
1969
On the homotopy type of positively-pinched manifolds. Zbl 0166.17601
Weinstein, A.
1967
Some remarks on dressing transformations. Zbl 0653.58012
Weinstein, Alan
1988
Periodic nonlinear waves on a half-line. Zbl 0585.35003
Weinstein, Alan
1985
Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
2010
Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004
Weinstein, Alan
2000
Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004
Weinstein, Alan
1989
Stability of Poisson-Hamilton equilibria. Zbl 0549.58018
Weinstein, Alan
1984
The invariance of Poincaré’s generating function for canonical transformations. Zbl 0235.70008
Weinstein, Alan
1972
Groupoid symmetry and constraints in general relativity. Zbl 1261.83006
Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan
2013
Symplectic categories. Zbl 1193.53173
Weinstein, Alan
2010
Almost invariant submanifolds for compact group actions. Zbl 0957.53021
Weinstein, Alan
2000
Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024
Weinstein, Alan
1994
Closed curves on convex hypersurfaces and periods of nonlinear oscillations. Zbl 0471.70020
Croke, Christopher B.; Weinstein, Alan
1981
Neighborhood classification of isotropic embeddings. Zbl 0453.53030
Weinstein, Alan
1981
On Maslov’s quantization condition. Zbl 0348.58016
Weinstein, Alan
1975
Symplectic microgeometry. III: Monoids. Zbl 1281.53079
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
2013
Symplectic microgeometry II: Generating functions. Zbl 1243.53121
Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan
2011
The integration problem for complex Lie algebroids. Zbl 1165.53376
Weinstein, Alan
2007
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010
Hirsch, Morris W.; Weinstein, Alan
2001
Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086
Marsden, Jerrold E.; Weinstein, Alan
2001
The Floer memorial volume. Zbl 0824.00019
Hofer, Helmut (ed.); Taubes, Clifford H. (ed.); Weinstein, Alan (ed.); Zehnder, Eduard (ed.)
1995
On the $$L^ 4$$ norm of spherical harmonics. Zbl 0479.33010
Stanton, Robert J.; Weinstein, Alan
1981
Eigenvalues associated with a closed geodesic. Zbl 0317.35071
Guillemin, Victor; Weinstein, Alan
1976
Perturbation of periodic manifolds of Hamiltonian systems. Zbl 0218.58006
Weinstein, A.
1971
Integration of Lie algebroid comorphisms. Zbl 1280.58010
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
2013
Exotic cluster structures on $$\mathrm{SL}_n$$: the Cremmer-Gervais case. Zbl 1373.53112
Gekhtman, M.; Shapiro, M.; Vainshtein, A.
2017
Categories of (co)isotropic linear relations. Zbl 1388.18002
Weinstein, Alan
2017
(Co)isotropic pairs in Poisson and presymplectic vector spaces. Zbl 1327.15023
Lorand, Jonathan; Weinstein, Alan
2015
Selective categories and linear canonical relations. Zbl 1325.53116
Li-Bland, David; Weinstein, Alan
2014
Groupoid symmetry and constraints in general relativity. Zbl 1261.83006
Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan
2013
Symplectic microgeometry. III: Monoids. Zbl 1281.53079
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
2013
Integration of Lie algebroid comorphisms. Zbl 1280.58010
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
2013
The Maslov cycle as a Legendre singularity and projection of a wavefront set. Zbl 1298.53080
Weinstein, Alan
2013
Symplectic microgeometry II: Generating functions. Zbl 1243.53121
Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan
2011
A note on the Wehrheim-Woodward category. Zbl 1257.53111
Weinstein, Alan
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
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Guillemin, Victor (ed.); Pelayo, Álvaro (ed.); Vũ Ngọc, San (ed.); Weinstein, Alan (ed.); Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
2011
Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan
2010
Symplectic categories. Zbl 1193.53173
Weinstein, Alan
2010
The volume of a differentiable stack. Zbl 1185.58007
Weinstein, Alan
2009
Modular classes of Lie algebroid morphisms. Zbl 1167.53068
Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A.
2008
Hopfish structure and modules over irrational rotation algebras. Zbl 1163.16304
Blohmann, Christian; Tang, Xiang; Weinstein, Alan
2008
Group like objects in Poisson geometry and algebra. Zbl 1151.53067
Blohmann, Christian; Weinstein, Alan
2008
Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002
Dito, Giuseppe (ed.); Lu, Jiang-Hua (ed.); Maeda, Yoshiaki (ed.); Weinstein, Alan (ed.)
2008
The integration problem for complex Lie algebroids. Zbl 1165.53376
Weinstein, Alan
2007
Poisson geometry and deformation quantization near a strictly pseudoconvex boundary. Zbl 1146.53072
Leichtnam, Eric; Tang, Xiang; Weinstein, Alan
2007
Hopfish algebras. Zbl 1169.16026
Tang, Xiang; Weinstein, Alan; Zhu, Chenchang
2007
Relative modular classes of Lie algebroids. Zbl 1080.22001
Kosmann-Schwarzbach, Yvette; Weinstein, Alan
2005
Poisson geometry and Morita equivalence. Zbl 1075.53082
Bursztyn, Henrique; Weinstein, Alan
2005
Variations on prequantization. Zbl 1119.53060
Weinstein, Alan; Zambon, Marco
2005
Integration of twisted Dirac brackets. Zbl 1067.58016
Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang
2004
Picard groups in Poisson geometry. Zbl 1068.53055
Bursztyn, Henrique; Weinstein, Alan
2004
Quantization and Morita equivalence for constant Dirac structures on tori. Zbl 1068.46044
Weinstein, Alan; Tang, Xiang
2004
The Maslov gerbe. Zbl 1080.53080
Weinstein, Alan
2004
Linearization of regular proper groupoids. Zbl 1043.58009
Weinstein, Alan
2002
Poisson geometry with a 3-form background. Zbl 1029.53090
Ševera, Pavol; Weinstein, Alan
2001
Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001
Kinyon, Michael K.; Weinstein, Alan
2001
Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060
Weinstein, Alan
2001
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010
Hirsch, Morris W.; Weinstein, Alan
2001
Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086
Marsden, Jerrold E.; Weinstein, Alan
2001
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1002.20032
Weinstein, Alan
2001
Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004
Weinstein, Alan
2000
Almost invariant submanifolds for compact group actions. Zbl 0957.53021
Weinstein, Alan
2000
Omni-Lie algebras. Zbl 1058.58503
Weinstein, Alan
2000
Self-similarity of Poisson structures on tori. Zbl 1010.53058
Mikami, Kentaro; Weinstein, Alan
2000
Geometric models for noncommutative algebras. Zbl 1135.58300
Cannas da Silva, Ana; Weinstein, Alan
1999
Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014
Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan
1999
Pseudodifferential operators on differential groupoids. Zbl 0940.58014
Nistor, Victor; Weinstein, Alan; Xu, Ping
1999
Northern California symplectic geometry seminar. Zbl 0930.00050
Eliashberg, Ya. (ed.); Fuchs, D. (ed.); Ratiu, T. (ed.); Weinstein, A. (ed.)
1999
Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006
Roytenberg, Dmitry; Weinstein, Alan
1998
Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074
Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping
1998
Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055
Weinstein, Alan; Xu, Ping
1998
Poisson geometry. Zbl 0930.37032
Weinstein, Alan
1998
Manin triples for Lie bialgebroids. Zbl 0885.58030
Liu, Zhangju; Weinstein, Alan; Xu, Ping
1997
The modular automorphism group of a Poisson manifold. Zbl 0902.58013
Weinstein, Alan
1997
Lectures on the geometry of quantization. Zbl 1049.53061
Bates, Sean; Weinstein, Alan
1997
Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011
Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A.
1997
Courant algebroids and strongly homotopy Lie algebras. Zbl 0970.17012
Roytenberg, Dmitry; Weinstein, Alan
1997
Tangential deformation quantization and polarized symplectic groupoids. Zbl 1166.53324
Weinstein, Alan
1997
Some questions about the index of quantized contact transformations. Zbl 0943.58019
Weinstein, Alan
1997
Lagrangian mechanics and groupoids. Zbl 0844.22007
Weinstein, Alan
1996
Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507
Weinstein, Alan
1996
Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039
Emmrich, C.; Weinstein, A.
1996
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
1996
The symplectic structure on moduli space. Zbl 0834.58011
Weinstein, A.
1995
Deformation quantization. Zbl 0854.58026
Weinstein, Alan
1995
The Floer memorial volume. Zbl 0824.00019
Hofer, Helmut (ed.); Taubes, Clifford H. (ed.); Weinstein, Alan (ed.); Zehnder, Eduard (ed.)
1995
The rigidity of sine-Gordon breathers. Zbl 0814.35112
Birnir, Björn; McKean, Henry P.; Weinstein, Alan
1994
The differential geometry of Fedosov’s quantization. Zbl 0846.58031
Emmrich, Claudio; Weinstein, Alan
1994
Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024
Weinstein, Alan
1994
Finite dimensional Lie-Poisson approximations to Vlasov-Poisson equations. Zbl 0810.35093
Scovel, Clint; Weinstein, Alan
1994
Classical theta functions and quantum tori. Zbl 0799.33013
Weinstein, Alan
1994
Basic multivariable calculus. Zbl 0771.26001
Marsden, Jerrold E.; Tromba, Anthony J.; Weinstein, Alan
1993
Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015
Weinstein, Alan; Xu, Ping
1992
Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018
Ginzburg, Viktor L.; Weinstein, Alan
1992
Contact surgery and symplectic handlebodies. Zbl 0737.57012
Weinstein, Alan
1991
Extensions of symplectic groupoids and quantization. Zbl 0722.58021
Weinstein, Alan; Xu, Ping
1991
Noncommutative geometry and geometric quantization. Zbl 0756.58022
Weinstein, Alan
1991
Symplectic groupoids, geometric quantization, and irrational rotation algebras. Zbl 0731.58031
Weinstein, Alan
1991
Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013
Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan
1991
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
1990
Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015
Weinstein, Alan
1990
Affine Poisson structures. Zbl 0725.58014
Weinstein, Alan
1990
Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025
Lu, Jiang-Hua; Weinstein, Alan
1989
Cohomology of symplectomorphism groups and critical values of Hamiltonians. Zbl 0644.57024
Weinstein, Alan
1989
Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004
Weinstein, Alan
1989
Coisotropic calculus and Poisson groupoids. Zbl 0642.58025
Weinstein, Alan
1988
Moments and reduction for symplectic groupoids. Zbl 0659.58016
Mikami, Kentaro; Weinstein, Alan
1988
Beyond Poisson structures. Zbl 0698.58020
Courant, Ted; Weinstein, Alan
1988
Some remarks on dressing transformations. Zbl 0653.58012
Weinstein, Alan
1988
Symplectic groupoids and Poisson manifolds. Zbl 0618.58020
Weinstein, Alan
1987
Symplectic groupoids. Zbl 0668.58017
Coste, A.; Dazord, P.; Weinstein, A.
1987
Poisson geometry of the principal series and nonlinearizable structures. Zbl 0592.58024
Weinstein, Alan
1987
Some problems in symplectic geometry. Zbl 0624.53023
Weinstein, A.
1987
Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. Zbl 0613.35076
Floer, Andreas; Weinstein, Alan
1986
On extending the Conley-Zehnder fixed point theorem to other manifolds. Zbl 0599.58014
Weinstein, Alan
1986
Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A.
1985
A symbol class for some Schrödinger equations on $${\mathbb{R}}^ n$$. Zbl 0574.35023
Weinstein, Alan
1985
A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013
Fortune, Barry; Weinstein, Alan
1985
Periodic nonlinear waves on a half-line. Zbl 0585.35003
Weinstein, Alan
1985
Calculus. I, II, III. 2nd ed. Zbl 0563.26001
Marsden, Jerrold; Weinstein, Alan
1985
Weinstein, Alan
1985
A global invertibility theorem for manifolds with boundary. Zbl 0569.57004
Weinstein, Alan
1985
Poisson structures and Lie algebras. Zbl 0608.58027
Weinstein, Alan
1985
Semidirect products and reduction in mechanics. Zbl 0529.58011
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan
1984
...and 62 more Documents
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#### Cited by 3,250 Authors

 53 Marsden, Jerrold Eldon 47 Ratiu, Tudor Stefan 44 Weinstein, Alan David 41 Holm, Darryl D. 34 Alves, Claudianor Oliveira 31 Wei, Juncheng 30 Xu, Ping 26 Guillemin, Victor W. 21 Sheng, Yunhe 20 de León Rodríguez, Manuel 19 Gay-Balmaz, François 18 Cattaneo, Alberto Sergio 18 Liu, Zhangju 18 Long, Yiming 18 Martín de Diego, David 18 Stiénon, Mathieu 18 Yang, Minbo 18 Zambon, Marco 17 Grabowski, Janusz 16 Ginzburg, Viktor L’vovich 15 Ding, Yanheng 15 Oh, Yong-Geun 15 Vaisman, Izu 15 Waldmann, Stefan 15 Wang, Zhi-Qiang 14 Crainic, Marius 14 Fernandes, Rui Loja 14 Janeczko, Stanisław 14 Marrero, Juan Carlos 14 Miranda, Eva 14 Palacián, Jesús F. 14 Uribe, Alejandro 13 Bloch, Anthony M. 13 Figueiredo, Giovany Malcher 13 Karasev, Mikhail Vladimirovich 13 Laurent-Gengoux, Camille 13 Ortega, Juan-Pablo 13 Śniatycki, Jędrzej 13 Strobl, Thomas 13 Zhang, Jianjun 12 Bursztyn, Henrique 12 Del Pino, Manuel A. 12 Esen, Oğul 12 Kosmann-Schwarzbach, Yvette 12 Nistor, Victor 12 Tang, Zhongwei 12 Yanguas, Patricia 11 Do Ó, João M. Bezerra 11 Gotay, Mark J. 11 Jotz, Madeleine 11 Krishnaprasad, P.s. 11 Peng, Shuangjie 11 Tronci, Cesare 11 Vorobjev, Yurii M. 10 Birtea, Petre 10 Felmer, Patricio L. 10 Grmela, Miroslav 10 Hernández-Bermejo, Benito 10 Hofer, Helmut H. W. 10 Liang, Sihua 10 Lu, Jiang-Hua 10 Marmo, Giuseppe 10 Meyer, Kenneth R. 10 Puta, Mircea 10 Tanaka, Kazunaga 10 Tang, Xiang 10 Wade, Aïssa 10 Wallace, Rodrick 10 Zhu, Chenchang 9 Byeon, Jaeyoung 9 Chen, Zhuo 9 Cingolani, Silvia 9 Colin de Verdière, Yves 9 de la Llave, Rafael 9 He, Yi 9 Huebschmann, Johannes 9 Khesin, Boris A. 9 Kupershmidt, Boris A. 9 Mackenzie, Kirill Charles Howard 9 Malchiodi, Andrea 9 Miyagaki, Olimpio Hiroshi 9 Montgomery, Richard 9 Nguyen Tien Zung 9 Ohsawa, Tomoki 9 Soares, Sérgio H. Monari 9 Sternberg, Shlomo 9 Van Schaftingen, Jean 9 Wang, Wei 9 Zhang, Jihui 8 Ambrosetti, Antonio 8 Cabrera, Alejandro 8 Debord, Claire 8 Dherin, Benoit 8 Ekeland, Ivar 8 Eliashberg, Yakov M. 8 Ikeda, Noriaki 8 Jurčo, Branislav 8 Liu, Hui 8 Meinrenken, Eckhard 8 Mrčun, Janez ...and 3,150 more Authors
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#### Cited in 394 Serials

 246 Journal of Geometry and Physics 188 Journal of Mathematical Physics 172 Communications in Mathematical Physics 119 Letters in Mathematical Physics 107 Journal of Differential Equations 103 Advances in Mathematics 80 Physica D 69 Transactions of the American Mathematical Society 68 Differential Geometry and its Applications 55 Duke Mathematical Journal 54 Journal of Functional Analysis 53 Calculus of Variations and Partial Differential Equations 49 International Journal of Geometric Methods in Modern Physics 45 Mathematische Annalen 42 Journal of Mathematical Analysis and Applications 41 Annales de l’Institut Fourier 41 Inventiones Mathematicae 41 Journal of High Energy Physics 40 Mathematische Zeitschrift 39 Archive for Rational Mechanics and Analysis 36 Proceedings of the American Mathematical Society 34 Reports on Mathematical Physics 32 Annals of Global Analysis and Geometry 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Reviews in Mathematical Physics 30 Journal of Geometric Mechanics 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Journal of Nonlinear Science 26 Journal of Fluid Mechanics 25 Regular and Chaotic Dynamics 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Communications in Contemporary Mathematics 22 Journal of Pure and Applied Algebra 21 Communications in Partial Differential Equations 20 Journal of Algebra 20 Acta Applicandae Mathematicae 20 Bulletin of the American Mathematical Society. New Series 20 Indagationes Mathematicae. New Series 20 Geometry & Topology 20 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19 International Journal of Mathematics 18 Theoretical and Mathematical Physics 17 Israel Journal of Mathematics 17 Geometriae Dedicata 17 Discrete and Continuous Dynamical Systems 16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 International Journal of Theoretical Physics 15 Mathematical Notes 15 Compositio Mathematica 15 Journal für die Reine und Angewandte Mathematik 15 Manuscripta Mathematica 15 Geometric and Functional Analysis. GAFA 15 Annales de l’Institut Henri Poincaré. Physique Théorique 15 Boundary Value Problems 15 Journal of Fixed Point Theory and Applications 14 Nuclear Physics. B 14 Journal of Mathematical Sciences (New York) 13 Communications in Algebra 13 Journal of Statistical Physics 13 Nonlinearity 13 Tohoku Mathematical Journal. Second Series 13 Transformation Groups 12 Communications on Pure and Applied Mathematics 12 Algebraic & Geometric Topology 12 Nonlinear Analysis. Theory, Methods & Applications 11 Topology and its Applications 11 Physics of Fluids 11 Acta Mathematica Sinica. English Series 11 Annales Henri Poincaré 11 Bulletin of the Brazilian Mathematical Society. New Series 10 Computers & Mathematics with Applications 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Functional Analysis and its Applications 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Ergodic Theory and Dynamical Systems 10 The Journal of Geometric Analysis 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Journal of Dynamics and Differential Equations 10 Communications on Pure and Applied Analysis 10 Mediterranean Journal of Mathematics 9 International Journal of Modern Physics A 9 Journal of Computational Physics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Bulletin de la Société Mathématique de France 9 Monatshefte für Mathematik 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Celestial Mechanics and Dynamical Astronomy 9 Bulletin des Sciences Mathématiques 9 Journal of Nonlinear Mathematical Physics 8 Journal of Soviet Mathematics 8 Kodai Mathematical Journal 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Russian Journal of Mathematical Physics 8 NoDEA. Nonlinear Differential Equations and Applications 8 Advanced Nonlinear Studies 7 Physics Letters. A 7 Journal of the Mathematical Society of Japan 7 Applied Mathematics Letters 7 Journal of the American Mathematical Society ...and 294 more Serials
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#### Cited in 60 Fields

 1,497 Differential geometry (53-XX) 889 Dynamical systems and ergodic theory (37-XX) 756 Partial differential equations (35-XX) 654 Global analysis, analysis on manifolds (58-XX) 548 Mechanics of particles and systems (70-XX) 513 Quantum theory (81-XX) 392 Nonassociative rings and algebras (17-XX) 262 Topological groups, Lie groups (22-XX) 254 Manifolds and cell complexes (57-XX) 231 Fluid mechanics (76-XX) 159 Ordinary differential equations (34-XX) 119 Algebraic geometry (14-XX) 119 Functional analysis (46-XX) 118 Associative rings and algebras (16-XX) 99 Several complex variables and analytic spaces (32-XX) 99 Operator theory (47-XX) 83 Algebraic topology (55-XX) 81 Statistical mechanics, structure of matter (82-XX) 77 Relativity and gravitational theory (83-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 66 Category theory; homological algebra (18-XX) 50 Group theory and generalizations (20-XX) 48 Optics, electromagnetic theory (78-XX) 46 Numerical analysis (65-XX) 43 $$K$$-theory (19-XX) 37 Mechanics of deformable solids (74-XX) 36 Systems theory; control (93-XX) 24 Geophysics (86-XX) 21 Biology and other natural sciences (92-XX) 20 Convex and discrete geometry (52-XX) 19 Commutative algebra (13-XX) 18 Probability theory and stochastic processes (60-XX) 16 Combinatorics (05-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Abstract harmonic analysis (43-XX) 12 Special functions (33-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Astronomy and astrophysics (85-XX) 10 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 General topology (54-XX) 10 Statistics (62-XX) 9 Measure and integration (28-XX) 8 Potential theory (31-XX) 8 Integral equations (45-XX) 8 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 5 Mathematical logic and foundations (03-XX) 5 Real functions (26-XX) 4 Number theory (11-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Approximations and expansions (41-XX) 2 Field theory and polynomials (12-XX) 2 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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