Edit Profile (opens in new tab) Weinstein, Alan David Compute Distance To: Compute Author ID: weinstein.alan-d Published as: Weinstein, Alan; Weinstein, A.; Weinstein, A. D. External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 174 Publications since 1967, including 11 Books 14 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 90 Co-Authors with 91 Joint Publications 2,489 Co-Co-Authors all top 5 Co-Authors 93 single-authored 17 Marsden, Jerrold Eldon 8 Ratiu, Tudor Stefan 7 Lu, Jiang-Hua 6 Xu, Ping 5 Cattaneo, Alberto Sergio 5 Dherin, Benoit 5 Tang, Xiang 4 Bursztyn, Henrique 4 Maeda, Yoshiaki 3 Blohmann, Christian 3 Dazord, Pierre 3 Guillemin, Victor W. 3 Lorand, Jonathan 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 Manuel 2 Śniatycki, Jędrzej 2 Wolf, Joseph Albert 2 Zehnder, Eduard J. 2 Zhu, Chenchang 1 Androulidakis, Iakovos 1 Barbosa Fernandes, Marco Cezar 1 Bates, Sean M. 1 Birnir, Bjorn 1 Bloch, Anthony Michael 1 Boutet de Monvel, Louis 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 Floer, Andreas 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 Lashof, Richard K. 1 Laurent-Gengoux, Camille 1 Li-Bland, David 1 Li, Jun 1 Mabuchi, Toshiki 1 Marrero, Juan Carlos 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 Previato, Emma 1 Raugel, Geneviève 1 Reich, Karin 1 Reshetikhin, Nikolai Yu. 1 Roels, Jacques ...and 23 more Co-Authors all top 5 Serials 9 Journal of Differential Geometry 8 Letters in Mathematical Physics 6 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 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 Journal of Geometric Mechanics 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 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 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 all top 5 Fields 106 Differential geometry (53-XX) 60 Global analysis, analysis on manifolds (58-XX) 58 Dynamical systems and ergodic theory (37-XX) 21 Quantum theory (81-XX) 20 Mechanics of particles and systems (70-XX) 17 Topological groups, Lie groups (22-XX) 16 Partial differential equations (35-XX) 15 Manifolds and cell complexes (57-XX) 14 Nonassociative rings and algebras (17-XX) 13 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 7 History and biography (01-XX) 7 Functional analysis (46-XX) 6 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 6 Real functions (26-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 164 Publications have been cited 5,441 times in 3,855 Documents Cited by ▼ Year ▼ Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. Zbl 0613.35076Floer, Andreas; Weinstein, Alan 475 1986 Reduction of symplectic manifolds with symmetry. Zbl 0327.58005Marsden, Jerrold; Weinstein, Alan 452 1974 The local structure of Poisson manifolds. Zbl 0524.58011Weinstein, Alan 314 1983 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 227 1985 Manin triples for Lie bialgebroids. Zbl 0885.58030Liu, Zhangju; Weinstein, Alan; Xu, Ping 195 1997 Symplectic manifolds and their Lagrangian submanifolds. Zbl 0213.48203Weinstein, A. 192 1971 Lectures on symplectic manifolds. Zbl 0406.53031Weinstein, Alan 175 1977 Geometric models for noncommutative algebras. Zbl 1135.58300Cannas da Silva, Ana; Weinstein, Alan 164 1999 Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018Lu, Jiang-Hua; Weinstein, Alan 159 1990 Normal modes for nonlinear Hamiltonian systems. Zbl 0264.70020Weinstein, Alan 118 1973 Symplectic groupoids and Poisson manifolds. Zbl 0618.58020Weinstein, Alan 101 1987 Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008Marsden, Jerrold; Weinstein, Alan 101 1983 Poisson geometry with a 3-form background. Zbl 1029.53090Ševera, Pavol; Weinstein, Alan 98 2001 Periodic orbits for convex hamiltonian systems. Zbl 0403.58001Weinstein, Alan 97 1978 Asymptotics of eigenvalue clusters for the Laplacian plus a potential. Zbl 0385.58013Weinstein, Alan 94 1977 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 88 1984 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 84 1999 The modular automorphism group of a Poisson manifold. Zbl 0902.58013Weinstein, Alan 82 1997 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 82 1982 Pseudodifferential operators on differential groupoids. Zbl 0940.58014Nistor, Victor; Weinstein, Alan; Xu, Ping 77 1999 Coisotropic calculus and Poisson groupoids. Zbl 0642.58025Weinstein, Alan 77 1988 Contact surgery and symplectic handlebodies. Zbl 0737.57012Weinstein, Alan 77 1991 Symplectic groupoids. (Groupoïdes symplectiques.) Zbl 0668.58017Coste, A.; Dazord, P.; Weinstein, A. 77 1987 A universal phase space for particles in Yang-Mills fields. Zbl 0388.58010Weinstein, Alan 68 1978 Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006Roytenberg, Dmitry; Weinstein, Alan 60 1998 Lagrangian mechanics and groupoids. Zbl 0844.22007Weinstein, Alan 58 1996 On the hypotheses of Rabinowitz’ periodic orbit theorems. Zbl 0388.58020Weinstein, Alan 55 1979 Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001Kinyon, Michael K.; Weinstein, Alan 54 2001 Lagrangian submanifolds and Hamiltonian systems. Zbl 0271.58008Weinstein, Alan 53 1973 Lectures on the geometry of quantization. Zbl 1049.53061Bates, Sean; Weinstein, Alan 53 1997 Fat bundles and symplectic manifolds. Zbl 0449.53035Weinstein, Alan 49 1980 Integration of twisted Dirac brackets. Zbl 1067.58016Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang 48 2004 Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015Weinstein, Alan; Xu, Ping 45 1992 Extensions of symplectic groupoids and quantization. Zbl 0722.58021Weinstein, Alan; Xu, Ping 43 1991 Symplectic geometry. Zbl 0465.58013Weinstein, Alan 42 1981 Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507Weinstein, Alan 41 1996 Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018Ginzburg, Viktor L.; Weinstein, Alan 39 1992 Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042Sheu, Albert Jeu-Liang 37 1991 Moments and reduction for symplectic groupoids. Zbl 0659.58016Mikami, Kentaro; Weinstein, Alan 33 1988 The cut locus and conjugate locus of a riemannian manifold. Zbl 0159.23902Weinstein, A. D. 31 1968 On the volume of manifolds all of whose geodesics are closed. Zbl 0289.53032Weinstein, Alan 29 1974 Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping 29 1998 Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015Weinstein, Alan 28 1990 Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. Zbl 0577.58013Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G. 26 1983 Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A. 25 1997 Linearization of regular proper groupoids. Zbl 1043.58009Weinstein, Alan 24 2002 Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039Emmrich, C.; Weinstein, A. 23 1996 Closed forms on symplectic fibre bundles. Zbl 0536.53040Gotay, Mark J.; Lashof, Richard; Śniatycki, Jedrzej; Weinstein, Alan 22 1983 Symplectic V-manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds. Zbl 0339.58007Weinstein, Alan 22 1977 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025Lu, Jiang-Hua; Weinstein, Alan 21 1989 Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie. Zbl 0172.46701Simon, U.; Weinstein, A. 21 1969 A symbol class for some Schrödinger equations on \({\mathbb{R}}^ n\). Zbl 0574.35023Weinstein, Alan 19 1985 Bifurcations and Hamilton’s principle. Zbl 0366.58003Weinstein, Alan 18 1978 Reduction and quantization for singular momentum mappings. Zbl 0518.58020Sniatycki, Jedrzej; Weinstein, Alan 18 1983 Cohomology of symplectomorphism groups and critical values of Hamiltonians. Zbl 0644.57024Weinstein, Alan 17 1989 Poisson geometry of the principal series and nonlinearizable structures. Zbl 0592.58024Weinstein, Alan 17 1987 A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013Fortune, Barry; Weinstein, Alan 16 1985 Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. Zbl 0546.58025Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 14 1984 Modular classes of Lie algebroid morphisms. Zbl 1167.53068Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A. 14 2008 Deformation quantization. Zbl 0854.58026Weinstein, Alan 14 1995 Positively curved n-manifolds in \(R^{n+2}\). Zbl 0194.52903Weinstein, A. 14 1970 Hamiltonian structure for drift waves and geostrophic flow. Zbl 0516.76125Weinstein, Alan 13 1983 Beyond Poisson structures. Zbl 0698.58020Courant, Ted; Weinstein, Alan 13 1988 Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060Weinstein, Alan 13 2001 The rigidity of sine-Gordon breathers. Zbl 0814.35112Birnir, Björn; McKean, Henry P.; Weinstein, Alan 13 1994 Poisson geometry. Zbl 0930.37032Weinstein, Alan 13 1998 The differential geometry of Fedosov’s quantization. Zbl 0846.58031Emmrich, Claudio; Weinstein, Alan 13 1994 Relative modular classes of Lie algebroids. Zbl 1080.22001Kosmann-Schwarzbach, Yvette; Weinstein, Alan 13 2005 Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055Weinstein, Alan; Xu, Ping 12 1998 The symplectic structure on moduli space. Zbl 0834.58011Weinstein, A. 12 1995 Picard groups in Poisson geometry. Zbl 1068.53055Bursztyn, Henrique; Weinstein, Alan 12 2004 Groupoid symmetry and constraints in general relativity. Zbl 1261.83006Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan 12 2013 Symplectic categories. Zbl 1193.53173Weinstein, Alan 12 2010 Poisson geometry and Morita equivalence. Zbl 1075.53082Bursztyn, Henrique; Weinstein, Alan 12 2005 Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan 11 1984 On the homotopy type of positively-pinched manifolds. Zbl 0166.17601Weinstein, A. 11 1967 Symplectic structures on Banach manifolds. Zbl 0179.50104Weinstein, A. 11 1969 Affine Poisson structures. Zbl 0725.58014Weinstein, Alan 11 1990 Periodic nonlinear waves on a half-line. Zbl 0585.35003Weinstein, Alan 10 1985 Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004Weinstein, Alan 10 2000 Some remarks on dressing transformations. Zbl 0653.58012Weinstein, Alan 10 1988 The invariance of Poincaré’s generating function for canonical transformations. Zbl 0235.70008Weinstein, Alan 9 1972 Fourier integral operators, quantization, and the spectra of Riemannian manifolds. Zbl 0327.58013Weinstein, Alan 9 1975 Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004Weinstein, Alan 9 1989 Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024Weinstein, Alan 9 1994 Stability of Poisson-Hamilton equilibria. Zbl 0549.58018Weinstein, Alan 9 1984 Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086Marsden, Jerrold E.; Weinstein, Alan 9 2001 Closed curves on convex hypersurfaces and periods of nonlinear oscillations. Zbl 0471.70020Croke, Christopher B.; Weinstein, Alan 9 1981 The integration problem for complex Lie algebroids. Zbl 1165.53376Weinstein, Alan 9 2007 Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 9 2010 Symplectic microgeometry. III: Monoids. Zbl 1281.53079Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 9 2013 Almost invariant submanifolds for compact group actions. Zbl 0957.53021Weinstein, Alan 8 2000 Neighborhood classification of isotropic embeddings. Zbl 0453.53030Weinstein, Alan 8 1981 Eigenvalues associated with a closed geodesic. Zbl 0317.35071Guillemin, Victor; Weinstein, Alan 7 1976 Courant algebroids and strongly homotopy Lie algebras. Zbl 0970.17012Roytenberg, Dmitry; Weinstein, Alan 7 1997 On the \(L^ 4\) norm of spherical harmonics. Zbl 0479.33010Stanton, Robert J.; Weinstein, Alan 7 1981 Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010Hirsch, Morris W.; Weinstein, Alan 7 2001 Symplectic microgeometry II: Generating functions. Zbl 1243.53121Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan 7 2011 Perturbation of periodic manifolds of Hamiltonian systems. Zbl 0218.58006Weinstein, A. 7 1971 The volume of a differentiable stack. Zbl 1185.58007Weinstein, Alan 6 2009 Categories of (co)isotropic linear relations. Zbl 1388.18002Weinstein, Alan 1 2017 Decomposition of (co)isotropic relations. Zbl 1362.18005Lorand, Jonathan; Weinstein, Alan 2 2016 (Co)isotropic pairs in Poisson and presymplectic vector spaces. Zbl 1327.15023Lorand, Jonathan; Weinstein, Alan 1 2015 Selective categories and linear canonical relations. Zbl 1325.53116Li-Bland, David; Weinstein, Alan 4 2014 Groupoid symmetry and constraints in general relativity. Zbl 1261.83006Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan 12 2013 Symplectic microgeometry. III: Monoids. Zbl 1281.53079Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 9 2013 Integration of Lie algebroid comorphisms. Zbl 1280.58010Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 6 2013 The Maslov cycle as a Legendre singularity and projection of a wavefront set. Zbl 1298.53080Weinstein, Alan 2 2013 Symplectic microgeometry II: Generating functions. Zbl 1243.53121Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan 7 2011 A note on the Wehrheim-Woodward category. Zbl 1257.53111Weinstein, Alan 3 2011 Asymptotic equivariant index of Toeplitz operators and relative index of CR structures. Zbl 1257.58015Boutet de Monvel, Louis; Leichtnam, Eric; Tang, Xiang; Weinstein, Alan 2 2011 Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes 1 2011 Symplectic categories. Zbl 1193.53173Weinstein, Alan 12 2010 Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 9 2010 The volume of a differentiable stack. Zbl 1185.58007Weinstein, Alan 6 2009 Modular classes of Lie algebroid morphisms. Zbl 1167.53068Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A. 14 2008 Group like objects in Poisson geometry and algebra. Zbl 1151.53067Blohmann, Christian; Weinstein, Alan 2 2008 Hopfish structure and modules over irrational rotation algebras. Zbl 1163.16304Blohmann, Christian; Tang, Xiang; Weinstein, Alan 2 2008 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002 1 2008 The integration problem for complex Lie algebroids. Zbl 1165.53376Weinstein, Alan 9 2007 Poisson geometry and deformation quantization near a strictly pseudoconvex boundary. Zbl 1146.53072Leichtnam, Eric; Tang, Xiang; Weinstein, Alan 6 2007 Hopfish algebras. Zbl 1169.16026Tang, Xiang; Weinstein, Alan; Zhu, Chenchang 5 2007 Relative modular classes of Lie algebroids. Zbl 1080.22001Kosmann-Schwarzbach, Yvette; Weinstein, Alan 13 2005 Poisson geometry and Morita equivalence. Zbl 1075.53082Bursztyn, Henrique; Weinstein, Alan 12 2005 Variations on prequantization. Zbl 1119.53060Weinstein, Alan; Zambon, Marco 6 2005 Integration of twisted Dirac brackets. Zbl 1067.58016Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang 48 2004 Picard groups in Poisson geometry. Zbl 1068.53055Bursztyn, Henrique; Weinstein, Alan 12 2004 Quantization and Morita equivalence for constant Dirac structures on tori. Zbl 1068.46044Weinstein, Alan; Tang, Xiang 6 2004 The Maslov gerbe. Zbl 1080.53080Weinstein, Alan 6 2004 Linearization of regular proper groupoids. Zbl 1043.58009Weinstein, Alan 24 2002 Poisson geometry with a 3-form background. Zbl 1029.53090Ševera, Pavol; Weinstein, Alan 98 2001 Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001Kinyon, Michael K.; Weinstein, Alan 54 2001 Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060Weinstein, Alan 13 2001 Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086Marsden, Jerrold E.; Weinstein, Alan 9 2001 Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010Hirsch, Morris W.; Weinstein, Alan 7 2001 Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1002.20032Weinstein, Alan 4 2001 Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004Weinstein, Alan 10 2000 Almost invariant submanifolds for compact group actions. Zbl 0957.53021Weinstein, Alan 8 2000 Omni-Lie algebras. Zbl 1058.58503Weinstein, Alan 6 2000 Self-similarity of Poisson structures on tori. Zbl 1010.53058Mikami, Kentaro; Weinstein, Alan 1 2000 Geometric models for noncommutative algebras. Zbl 1135.58300Cannas da Silva, Ana; Weinstein, Alan 164 1999 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 84 1999 Pseudodifferential operators on differential groupoids. Zbl 0940.58014Nistor, Victor; Weinstein, Alan; Xu, Ping 77 1999 Northern California symplectic geometry seminar. Zbl 0930.00050 1 1999 Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006Roytenberg, Dmitry; Weinstein, Alan 60 1998 Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping 29 1998 Poisson geometry. Zbl 0930.37032Weinstein, Alan 13 1998 Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055Weinstein, Alan; Xu, Ping 12 1998 Manin triples for Lie bialgebroids. Zbl 0885.58030Liu, Zhangju; Weinstein, Alan; Xu, Ping 195 1997 The modular automorphism group of a Poisson manifold. Zbl 0902.58013Weinstein, Alan 82 1997 Lectures on the geometry of quantization. Zbl 1049.53061Bates, Sean; Weinstein, Alan 53 1997 Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A. 25 1997 Courant algebroids and strongly homotopy Lie algebras. Zbl 0970.17012Roytenberg, Dmitry; Weinstein, Alan 7 1997 Tangential deformation quantization and polarized symplectic groupoids. Zbl 1166.53324Weinstein, Alan 5 1997 Some questions about the index of quantized contact transformations. Zbl 0943.58019Weinstein, Alan 4 1997 Lagrangian mechanics and groupoids. Zbl 0844.22007Weinstein, Alan 58 1996 Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507Weinstein, Alan 41 1996 Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039Emmrich, C.; Weinstein, A. 23 1996 Semiquantum geometry. Zbl 0896.17004Reshetikhin, N.; Voronov, A.; Weinstein, A. 5 1996 Deformation quantization. Zbl 0854.58026Weinstein, Alan 14 1995 The symplectic structure on moduli space. Zbl 0834.58011Weinstein, A. 12 1995 The Floer memorial volume. Zbl 0824.00019 6 1995 The rigidity of sine-Gordon breathers. Zbl 0814.35112Birnir, Björn; McKean, Henry P.; Weinstein, Alan 13 1994 The differential geometry of Fedosov’s quantization. Zbl 0846.58031Emmrich, Claudio; Weinstein, Alan 13 1994 Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024Weinstein, Alan 9 1994 Finite dimensional Lie-Poisson approximations to Vlasov-Poisson equations. Zbl 0810.35093Scovel, Clint; Weinstein, Alan 6 1994 Classical theta functions and quantum tori. Zbl 0799.33013Weinstein, Alan 1 1994 Basic multivariable calculus. Zbl 0771.26001Marsden, Jerrold E.; Tromba, Anthony J.; Weinstein, Alan 1 1993 Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015Weinstein, Alan; Xu, Ping 45 1992 Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018Ginzburg, Viktor L.; Weinstein, Alan 39 1992 Contact surgery and symplectic handlebodies. Zbl 0737.57012Weinstein, Alan 77 1991 Extensions of symplectic groupoids and quantization. Zbl 0722.58021Weinstein, Alan; Xu, Ping 43 1991 Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere. Zbl 0719.58042Sheu, Albert Jeu-Liang 37 1991 Noncommutative geometry and geometric quantization. Zbl 0756.58022Weinstein, Alan 6 1991 Symplectic groupoids, geometric quantization, and irrational rotation algebras. Zbl 0731.58031Weinstein, Alan 4 1991 Affinoïdes de Poisson. (Affinoid Poisson structures). Zbl 0728.58013Dazord, Pierre; Lu, Jiang-Hua; Sondaz, Daniel; Weinstein, Alan 1 1991 Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018Lu, Jiang-Hua; Weinstein, Alan 159 1990 Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015Weinstein, Alan 28 1990 Affine Poisson structures. Zbl 0725.58014Weinstein, Alan 11 1990 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025Lu, Jiang-Hua; Weinstein, Alan 21 1989 Cohomology of symplectomorphism groups and critical values of Hamiltonians. Zbl 0644.57024Weinstein, Alan 17 1989 Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004Weinstein, Alan 9 1989 Coisotropic calculus and Poisson groupoids. Zbl 0642.58025Weinstein, Alan 77 1988 Moments and reduction for symplectic groupoids. Zbl 0659.58016Mikami, Kentaro; Weinstein, Alan 33 1988 Beyond Poisson structures. Zbl 0698.58020Courant, Ted; Weinstein, Alan 13 1988 Some remarks on dressing transformations. Zbl 0653.58012Weinstein, Alan 10 1988 Symplectic groupoids and Poisson manifolds. Zbl 0618.58020Weinstein, Alan 101 1987 Symplectic groupoids. (Groupoïdes symplectiques.) Zbl 0668.58017Coste, A.; Dazord, P.; Weinstein, A. 77 1987 Poisson geometry of the principal series and nonlinearizable structures. Zbl 0592.58024Weinstein, Alan 17 1987 Some problems in symplectic geometry. Zbl 0624.53023Weinstein, A. 1 1987 Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. Zbl 0613.35076Floer, Andreas; Weinstein, Alan 475 1986 On extending the Conley-Zehnder fixed point theorem to other manifolds. Zbl 0599.58014Weinstein, Alan 2 1986 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 227 1985 A symbol class for some Schrödinger equations on \({\mathbb{R}}^ n\). Zbl 0574.35023Weinstein, Alan 19 1985 A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013Fortune, Barry; Weinstein, Alan 16 1985 Periodic nonlinear waves on a half-line. Zbl 0585.35003Weinstein, Alan 10 1985 Errata and addenda. Zbl 0596.58018Weinstein, Alan 5 1985 Calculus. I, II, III. 2nd ed. Zbl 0563.26001Marsden, Jerrold; Weinstein, Alan 3 1985 A global invertibility theorem for manifolds with boundary. Zbl 0569.57004Weinstein, Alan 2 1985 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 88 1984 ...and 64 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,355 Authors 53 Marsden, Jerrold Eldon 48 Ratiu, Tudor Stefan 45 Weinstein, Alan David 41 Holm, Darryl D. 35 Alves, Claudianor Oliveira 33 Xu, Ping 31 Wei, Juncheng 27 Sheng, Yunhe 26 Guillemin, Victor W. 22 Liu, Zhangju 21 de León Rodríguez, Manuel 21 Gay-Balmaz, François 20 Stiénon, Mathieu 20 Zambon, Marco 19 Cattaneo, Alberto Sergio 18 Long, Yiming 18 Martín de Diego, David 18 Yang, Minbo 16 Ginzburg, Viktor L’vovich 16 Grabowski, Janusz 16 Miranda, Eva 16 Vaisman, Izu 15 Ding, Yanheng 15 Fernandes, Rui Loja 15 Laurent-Gengoux, Camille 15 Marrero, Juan Carlos 15 Oh, Yong-Geun 15 Uribe, Alejandro 15 Waldmann, Stefan 14 Bloch, Anthony Michael 14 Crainic, Marius 14 Esen, Oğul 14 Figueiredo, Giovany Malcher 14 Karasev, Mikhail Vladimirovich 14 Ortega, Juan-Pablo 14 Palacián, Jesús F. 13 Bursztyn, Henrique 13 Janeczko, Stanisław 13 Peng, Shuangjie 13 Śniatycki, Jędrzej 13 Strobl, Thomas 13 Tang, Zhongwei 13 Wang, Zhi-Qiang 13 Zhang, Jianjun 12 Chen, Zhuo 12 Del Pino, Manuel A. 12 Grmela, Miroslav 12 Ikeda, Noriaki 12 Kosmann-Schwarzbach, Yvette 12 Nistor, Victor 12 Tronci, Cesare 12 Yanguas, Patricia 11 Do Ó, João M. Bezerra 11 Gotay, Mark J. 11 Hofer, Helmut H. W. 11 Marmo, Giuseppe 11 Tanaka, Kazunaga 11 Wade, Aïssa 11 Zhu, Chenchang 10 Birtea, Petre 10 Felmer, Patricio L. 10 He, Yi 10 Hernández-Bermejo, Benito 10 Jotz, Madeleine 10 Khesin, Boris A. 10 Krishnaprasad, P.s. 10 Liang, Sihua 10 Lu, Jiang-Hua 10 Mackenzie, Kirill Charles Howard 10 Meyer, Kenneth R. 10 Puta, Mircea 10 Tang, Xiang 10 Wallace, Rodrick 9 Byeon, Jaeyoung 9 Cabrera, Alejandro 9 Cingolani, Silvia 9 Colin de Verdière, Yves 9 de la Llave, Rafael 9 Eliashberg, Yakov Matveevich 9 Huebschmann, Johannes 9 Kupershmidt, Boris A. 9 Miyagaki, Olimpio Hiroshi 9 Montgomery, Richard 9 Nguyen Tien Zung 9 Odzijewicz, Anatol 9 Ohsawa, Tomoki 9 Pavelka, Michal 9 Soares, Sérgio H. Monari 9 Sternberg, Shlomo 9 Van Schaftingen, Jean 9 Wang, Wei 9 Wiggins, Stephen 9 Zhang, Jihui 8 Ambrosetti, Antonio 8 Ambrosio, Vincenzo 8 Biswas, Indranil 8 Debord, Claire 8 Dherin, Benoit 8 Ekeland, Ivar 8 Geiges, Hansjörg ...and 3,255 more Authors all top 5 Cited in 431 Serials 247 Journal of Geometry and Physics 197 Journal of Mathematical Physics 186 Communications in Mathematical Physics 121 Letters in Mathematical Physics 109 Advances in Mathematics 107 Journal of Differential Equations 80 Physica D 70 Transactions of the American Mathematical Society 70 Differential Geometry and its Applications 59 Calculus of Variations and Partial Differential Equations 55 Duke Mathematical Journal 52 Journal of Functional Analysis 49 International Journal of Geometric Methods in Modern Physics 47 Mathematische Annalen 43 Journal of Mathematical Analysis and Applications 43 Journal of High Energy Physics 42 Inventiones Mathematicae 42 Mathematische Zeitschrift 42 Journal of Geometric Mechanics 41 Annales de l’Institut Fourier 40 Archive for Rational Mechanics and Analysis 37 Proceedings of the American Mathematical Society 33 Annals of Global Analysis and Geometry 32 Reports on Mathematical Physics 32 Reviews in Mathematical Physics 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Journal of Nonlinear Science 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Regular and Chaotic Dynamics 27 Journal of Fluid Mechanics 27 Communications in Contemporary Mathematics 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Journal of Algebra 22 Bulletin of the American Mathematical Society. New Series 22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 21 International Journal of Mathematics 21 Communications in Partial Differential Equations 21 Discrete and Continuous Dynamical Systems 21 Journal of Fixed Point Theory and Applications 20 Journal of Pure and Applied Algebra 20 Acta Applicandae Mathematicae 20 Indagationes Mathematicae. 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Serie Quarta 12 Publications of the Research Institute for Mathematical Sciences, Kyoto University 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 12 Acta Mathematica Sinica. English Series 12 Algebraic & Geometric Topology 12 Mediterranean Journal of Mathematics 11 Nuclear Physics. B 11 Topology and its Applications 11 Celestial Mechanics and Dynamical Astronomy 11 Physics of Fluids 11 Advanced Nonlinear Studies 11 Bulletin of the Brazilian Mathematical Society. New Series 11 Journal of Noncommutative Geometry 11 Nonlinear Analysis. Theory, Methods & Applications 10 Computers & Mathematics with Applications 10 Journal of Computational Physics 10 Functional Analysis and its Applications 10 Monatshefte für Mathematik 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Journal of Dynamics and Differential Equations 10 Communications on Pure and Applied Analysis 9 International Journal of Modern Physics A 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Bulletin de la Société Mathématique de France 9 Russian Journal of Mathematical Physics 9 NoDEA. Nonlinear Differential Equations and Applications 9 Bulletin des Sciences Mathématiques 9 Mathematical Physics, Analysis and Geometry 9 Journal of Nonlinear Mathematical Physics 8 Journal of the Mathematical Society of Japan 8 Journal of Soviet Mathematics 8 Kodai Mathematical Journal 8 Abstract and Applied Analysis ...and 331 more Serials all top 5 Cited in 62 Fields 1,601 Differential geometry (53-XX) 932 Dynamical systems and ergodic theory (37-XX) 822 Partial differential equations (35-XX) 694 Global analysis, analysis on manifolds (58-XX) 579 Mechanics of particles and systems (70-XX) 545 Quantum theory (81-XX) 433 Nonassociative rings and algebras (17-XX) 281 Topological groups, Lie groups (22-XX) 280 Manifolds and cell complexes (57-XX) 256 Fluid mechanics (76-XX) 160 Ordinary differential equations (34-XX) 138 Associative rings and algebras (16-XX) 137 Algebraic geometry (14-XX) 125 Functional analysis (46-XX) 107 Several complex variables and analytic spaces (32-XX) 105 Operator theory (47-XX) 93 Relativity and gravitational theory (83-XX) 90 Algebraic topology (55-XX) 90 Statistical mechanics, structure of matter (82-XX) 78 Category theory; homological algebra (18-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 58 Group theory and generalizations (20-XX) 51 \(K\)-theory (19-XX) 50 Numerical analysis (65-XX) 48 Optics, electromagnetic theory (78-XX) 38 Systems theory; control (93-XX) 37 Mechanics of deformable solids (74-XX) 25 Geophysics (86-XX) 22 Convex and discrete geometry (52-XX) 22 Biology and other natural sciences (92-XX) 19 Probability theory and stochastic processes (60-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Combinatorics (05-XX) 16 Commutative algebra (13-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Special functions (33-XX) 14 Computer science (68-XX) 13 General and overarching topics; collections (00-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Abstract harmonic analysis (43-XX) 11 History and biography (01-XX) 11 General topology (54-XX) 11 Astronomy and astrophysics (85-XX) 10 Statistics (62-XX) 9 Potential theory (31-XX) 8 Real functions (26-XX) 8 Functions of a complex variable (30-XX) 8 Integral equations (45-XX) 8 Information and communication theory, circuits (94-XX) 7 Measure and integration (28-XX) 7 Geometry (51-XX) 5 Mathematical logic and foundations (03-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) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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