Edit Profile Weinstein, Alan David Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0613.35076Floer, Andreas; Weinstein, Alan 435 1986 Reduction of symplectic manifolds with symmetry. Zbl 0327.58005Marsden, Jerrold; Weinstein, Alan 430 1974 The local structure of Poisson manifolds. Zbl 0524.58011Weinstein, Alan 298 1983 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 212 1985 Lectures on symplectic manifolds. Zbl 0406.53031Weinstein, Alan 185 1977 Symplectic manifolds and their Lagrangian submanifolds. Zbl 0213.48203Weinstein, A. 179 1971 Manin triples for Lie bialgebroids. Zbl 0885.58030Liu, Zhangju; Weinstein, Alan; Xu, Ping 169 1997 Geometric models for noncommutative algebras. Zbl 1135.58300Cannas da Silva, Ana; Weinstein, Alan 157 1999 Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018Lu, Jiang-Hua; Weinstein, Alan 144 1990 Normal modes for nonlinear Hamiltonian systems. Zbl 0264.70020Weinstein, Alan 111 1973 Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008Marsden, Jerrold; Weinstein, Alan 93 1983 Symplectic groupoids and Poisson manifolds. Zbl 0618.58020Weinstein, Alan 92 1987 Periodic orbits for convex hamiltonian systems. Zbl 0403.58001Weinstein, Alan 91 1978 Asymptotics of eigenvalue clusters for the Laplacian plus a potential. Zbl 0385.58013Weinstein, Alan 86 1977 Poisson geometry with a 3-form background. Zbl 1029.53090Ševera, Pavol; Weinstein, Alan 85 2001 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 80 1999 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 78 1984 The modular automorphism group of a Poisson manifold. Zbl 0902.58013Weinstein, Alan 75 1997 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 75 1982 Symplectic groupoids. Zbl 0668.58017Coste, A.; Dazord, P.; Weinstein, A. 74 1987 Coisotropic calculus and Poisson groupoids. Zbl 0642.58025Weinstein, Alan 72 1988 Pseudodifferential operators on differential groupoids. Zbl 0940.58014Nistor, Victor; Weinstein, Alan; Xu, Ping 71 1999 Contact surgery and symplectic handlebodies. Zbl 0737.57012Weinstein, Alan 69 1991 A universal phase space for particles in Yang-Mills fields. Zbl 0388.58010Weinstein, Alan 65 1978 Lagrangian mechanics and groupoids. Zbl 0844.22007Weinstein, Alan 55 1996 Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006Roytenberg, Dmitry; Weinstein, Alan 54 1998 Lagrangian submanifolds and Hamiltonian systems. Zbl 0271.58008Weinstein, Alan 53 1973 On the hypotheses of Rabinowitz’ periodic orbit theorems. Zbl 0388.58020Weinstein, Alan 50 1979 Lectures on the geometry of quantization. Zbl 1049.53061Bates, Sean; Weinstein, Alan 49 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 44 2004 Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001Kinyon, Michael K.; Weinstein, Alan 44 2001 Extensions of symplectic groupoids and quantization. Zbl 0722.58021Weinstein, Alan; Xu, Ping 42 1991 Symplectic geometry. Zbl 0465.58013Weinstein, Alan 42 1981 Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507Weinstein, Alan 37 1996 Classical solutions of the quantum Yang-Baxter equation. Zbl 0849.17015Weinstein, Alan; Xu, Ping 36 1992 Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018Ginzburg, Viktor L.; Weinstein, Alan 35 1992 Moments and reduction for symplectic groupoids. Zbl 0659.58016Mikami, Kentaro; Weinstein, Alan 34 1988 Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015Weinstein, Alan 29 1990 The cut locus and conjugate locus of a riemannian manifold. Zbl 0159.23902Weinstein, A. D. 29 1968 Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping 28 1998 Beyond Poisson structures. Zbl 0698.58020Courant, Ted; Weinstein, Alan 28 1988 On the volume of manifolds all of whose geodesics are closed. Zbl 0289.53032Weinstein, Alan 27 1974 Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. Zbl 0577.58013Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G. 24 1983 Linearization of regular proper groupoids. Zbl 1043.58009Weinstein, Alan 22 2002 Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039Emmrich, C.; Weinstein, A. 22 1996 Groupoïdes symplectiques doubles des groupes de Lie-Poisson. (Symplectic double groupoids of Poisson Lie groups). Zbl 0701.58025Lu, Jiang-Hua; Weinstein, Alan 21 1989 Closed forms on symplectic fibre bundles. Zbl 0536.53040Gotay, Mark J.; Lashof, Richard; Śniatycki, Jedrzej; Weinstein, Alan 21 1983 Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie. Zbl 0172.46701Simon, U.; Weinstein, A. 21 1969 Symplectic V-manifolds, periodic orbits of hamiltonian systems, and the volume of certain riemannian manifolds. Zbl 0339.58007Weinstein, Alan 20 1977 Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A. 19 1997 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 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 Reduction and quantization for singular momentum mappings. Zbl 0518.58020Sniatycki, Jedrzej; Weinstein, Alan 17 1983 Reduction and Hamiltonian structures on duals of semidirect product Lie algebras. Zbl 0546.58025Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 16 1984 Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055Weinstein, Alan; Xu, Ping 14 1998 A symplectic fixed point theorem for complex projective spaces. Zbl 0566.58013Fortune, Barry; Weinstein, Alan 14 1985 Positively curved n-manifolds in \(R^{n+2}\). Zbl 0194.52903Weinstein, A. 14 1970 Modular classes of Lie algebroid morphisms. Zbl 1167.53068Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A. 13 2008 The rigidity of sine-Gordon breathers. Zbl 0814.35112Birnir, Björn; McKean, Henry P.; Weinstein, Alan 13 1994 Hamiltonian structure for drift waves and geostrophic flow. Zbl 0516.76125Weinstein, Alan 13 1983 Relative modular classes of Lie algebroids. Zbl 1080.22001Kosmann-Schwarzbach, Yvette; Weinstein, Alan 12 2005 Picard groups in Poisson geometry. Zbl 1068.53055Bursztyn, Henrique; Weinstein, Alan 12 2004 Poisson geometry. Zbl 0930.37032Weinstein, Alan 12 1998 The symplectic structure on moduli space. Zbl 0834.58011Weinstein, A. 12 1995 Deformation quantization. Zbl 0854.58026Weinstein, Alan 12 1995 Poisson geometry and Morita equivalence. Zbl 1075.53082Bursztyn, Henrique; Weinstein, Alan 11 2005 Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060Weinstein, Alan 11 2001 The differential geometry of Fedosov’s quantization. Zbl 0846.58031Emmrich, Claudio; Weinstein, Alan 11 1994 Affine Poisson structures. Zbl 0725.58014Weinstein, Alan 11 1990 Stability of rigid body motion using the energy-Casimir method. Zbl 0526.70025Holm, Darryl; Marsden, Jerrold; Ratiu, Tudor; Weinstein, Alan 11 1984 Fourier integral operators, quantization, and the spectra of Riemannian manifolds. Zbl 0327.58013Weinstein, Alan 11 1975 Symplectic structures on Banach manifolds. Zbl 0179.50104Weinstein, A. 11 1969 On the homotopy type of positively-pinched manifolds. Zbl 0166.17601Weinstein, A. 11 1967 Some remarks on dressing transformations. Zbl 0653.58012Weinstein, Alan 10 1988 Periodic nonlinear waves on a half-line. Zbl 0585.35003Weinstein, Alan 10 1985 Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 9 2010 Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004Weinstein, Alan 9 2000 Blowing up realizations of Heisenberg-Poisson manifolds. Zbl 0693.58004Weinstein, Alan 9 1989 Stability of Poisson-Hamilton equilibria. Zbl 0549.58018Weinstein, Alan 9 1984 The invariance of Poincaré’s generating function for canonical transformations. Zbl 0235.70008Weinstein, Alan 9 1972 Groupoid symmetry and constraints in general relativity. Zbl 1261.83006Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan 8 2013 Symplectic categories. Zbl 1193.53173Weinstein, Alan 8 2010 Almost invariant submanifolds for compact group actions. Zbl 0957.53021Weinstein, Alan 8 2000 Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024Weinstein, Alan 8 1994 Closed curves on convex hypersurfaces and periods of nonlinear oscillations. Zbl 0471.70020Croke, Christopher B.; Weinstein, Alan 8 1981 Neighborhood classification of isotropic embeddings. Zbl 0453.53030Weinstein, Alan 8 1981 On Maslov’s quantization condition. Zbl 0348.58016Weinstein, Alan 8 1975 Symplectic microgeometry. III: Monoids. Zbl 1281.53079Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 7 2013 Symplectic microgeometry II: Generating functions. Zbl 1243.53121Cattaneo, Alberto S.; Dherin, Benoît; Weinstein, Alan 7 2011 The integration problem for complex Lie algebroids. Zbl 1165.53376Weinstein, Alan 7 2007 Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010Hirsch, Morris W.; Weinstein, Alan 7 2001 Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086Marsden, Jerrold E.; Weinstein, Alan 7 2001 The Floer memorial volume. Zbl 0824.00019Hofer, Helmut (ed.); Taubes, Clifford H. (ed.); Weinstein, Alan (ed.); Zehnder, Eduard (ed.) 7 1995 On the \(L^ 4\) norm of spherical harmonics. Zbl 0479.33010Stanton, Robert J.; Weinstein, Alan 7 1981 Eigenvalues associated with a closed geodesic. Zbl 0317.35071Guillemin, Victor; Weinstein, Alan 7 1976 Perturbation of periodic manifolds of Hamiltonian systems. Zbl 0218.58006Weinstein, A. 7 1971 Integration of Lie algebroid comorphisms. Zbl 1280.58010Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 6 2013 Exotic cluster structures on \(\mathrm{SL}_n\): the Cremmer-Gervais case. Zbl 1373.53112Gekhtman, M.; Shapiro, M.; Vainshtein, A. 5 2017 Categories of (co)isotropic linear relations. Zbl 1388.18002Weinstein, Alan 1 2017 (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 8 2013 Symplectic microgeometry. III: Monoids. Zbl 1281.53079Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 7 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 1225.01067Guillemin, 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 1 2011 Symplectic microgeometry. I: Micromorphisms. Zbl 1201.53082Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan 9 2010 Symplectic categories. Zbl 1193.53173Weinstein, Alan 8 2010 The volume of a differentiable stack. Zbl 1185.58007Weinstein, Alan 5 2009 Modular classes of Lie algebroid morphisms. Zbl 1167.53068Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A. 13 2008 Hopfish structure and modules over irrational rotation algebras. Zbl 1163.16304Blohmann, Christian; Tang, Xiang; Weinstein, Alan 3 2008 Group like objects in Poisson geometry and algebra. Zbl 1151.53067Blohmann, Christian; Weinstein, Alan 3 2008 Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Zbl 1131.53002Dito, Giuseppe (ed.); Lu, Jiang-Hua (ed.); Maeda, Yoshiaki (ed.); Weinstein, Alan (ed.) 1 2008 The integration problem for complex Lie algebroids. Zbl 1165.53376Weinstein, Alan 7 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 4 2007 Relative modular classes of Lie algebroids. Zbl 1080.22001Kosmann-Schwarzbach, Yvette; Weinstein, Alan 12 2005 Poisson geometry and Morita equivalence. Zbl 1075.53082Bursztyn, Henrique; Weinstein, Alan 11 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 44 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 22 2002 Poisson geometry with a 3-form background. Zbl 1029.53090Ševera, Pavol; Weinstein, Alan 85 2001 Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces. Zbl 0986.17001Kinyon, Michael K.; Weinstein, Alan 44 2001 Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions. Zbl 1010.53060Weinstein, Alan 11 2001 Fixed points of analytic actions of supersoluble Lie groups on compact surfaces. Zbl 0992.57010Hirsch, Morris W.; Weinstein, Alan 7 2001 Comments on the history, theory, and applications of symplectic reduction. Zbl 1034.53086Marsden, Jerrold E.; Weinstein, Alan 7 2001 Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1002.20032Weinstein, Alan 3 2001 Linearization problems for Lie algebroids and Lie groupoids. Zbl 0961.22004Weinstein, Alan 9 2000 Almost invariant submanifolds for compact group actions. Zbl 0957.53021Weinstein, Alan 8 2000 Omni-Lie algebras. Zbl 1058.58503Weinstein, Alan 4 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 157 1999 Transverse measures, the modular class and a cohomology pairing for Lie algebroids. Zbl 0968.58014Evens, Sam; Lu, Jiang-Hua; Weinstein, Alan 80 1999 Pseudodifferential operators on differential groupoids. Zbl 0940.58014Nistor, Victor; Weinstein, Alan; Xu, Ping 71 1999 Northern California symplectic geometry seminar. Zbl 0930.00050Eliashberg, Ya. (ed.); Fuchs, D. (ed.); Ratiu, T. (ed.); Weinstein, A. (ed.) 1 1999 Courant algebroids and strongly homotopy Lie algebras. Zbl 0946.17006Roytenberg, Dmitry; Weinstein, Alan 54 1998 Dirac structures and Poisson homogeneous spaces. Zbl 0921.58074Liu, Zhang-Ju; Weinstein, Alan; Xu, Ping 28 1998 Hochschild cohomology and characteristic classes for star-products. Zbl 0956.53055Weinstein, Alan; Xu, Ping 14 1998 Poisson geometry. Zbl 0930.37032Weinstein, Alan 12 1998 Manin triples for Lie bialgebroids. Zbl 0885.58030Liu, Zhangju; Weinstein, Alan; Xu, Ping 169 1997 The modular automorphism group of a Poisson manifold. Zbl 0902.58013Weinstein, Alan 75 1997 Lectures on the geometry of quantization. Zbl 1049.53061Bates, Sean; Weinstein, Alan 49 1997 Group systems, groupoids, and moduli spaces of parabolic bundles. Zbl 0885.58011Guruprasad, K.; Huebschmann, J.; Jeffrey, L.; Weinstein, A. 19 1997 Courant algebroids and strongly homotopy Lie algebras. Zbl 0970.17012Roytenberg, Dmitry; Weinstein, Alan 6 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 55 1996 Groupoids: unifying internal and external symmetry. A tour through some examples. Zbl 1044.20507Weinstein, Alan 37 1996 Geometry of the transport equation in multicomponent WKB approximations. Zbl 0848.34039Emmrich, C.; Weinstein, A. 22 1996 Semiquantum geometry. Zbl 0896.17004Reshetikhin, N.; Voronov, A.; Weinstein, A. 5 1996 The symplectic structure on moduli space. Zbl 0834.58011Weinstein, A. 12 1995 Deformation quantization. Zbl 0854.58026Weinstein, Alan 12 1995 The Floer memorial volume. Zbl 0824.00019Hofer, Helmut (ed.); Taubes, Clifford H. (ed.); Weinstein, Alan (ed.); Zehnder, Eduard (ed.) 7 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 11 1994 Traces and triangles in symmetric symplectic spaces. Zbl 0820.58024Weinstein, Alan 8 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 36 1992 Lie-Poisson structure on some Poisson Lie groups. Zbl 0766.58018Ginzburg, Viktor L.; Weinstein, Alan 35 1992 Contact surgery and symplectic handlebodies. Zbl 0737.57012Weinstein, Alan 69 1991 Extensions of symplectic groupoids and quantization. Zbl 0722.58021Weinstein, Alan; Xu, Ping 42 1991 Noncommutative geometry and geometric quantization. Zbl 0756.58022Weinstein, Alan 6 1991 Symplectic groupoids, geometric quantization, and irrational rotation algebras. Zbl 0731.58031Weinstein, Alan 5 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 144 1990 Connections of Berry and Hannay type for moving Lagrangian submanifolds. Zbl 0713.58015Weinstein, Alan 29 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 72 1988 Moments and reduction for symplectic groupoids. Zbl 0659.58016Mikami, Kentaro; Weinstein, Alan 34 1988 Beyond Poisson structures. Zbl 0698.58020Courant, Ted; Weinstein, Alan 28 1988 Some remarks on dressing transformations. Zbl 0653.58012Weinstein, Alan 10 1988 Symplectic groupoids and Poisson manifolds. Zbl 0618.58020Weinstein, Alan 92 1987 Symplectic groupoids. Zbl 0668.58017Coste, A.; Dazord, P.; Weinstein, A. 74 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 435 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. 212 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 14 1985 Periodic nonlinear waves on a half-line. Zbl 0585.35003Weinstein, Alan 10 1985 Calculus. I, II, III. 2nd ed. Zbl 0563.26001Marsden, Jerrold; Weinstein, Alan 6 1985 Errata and addenda. Zbl 0596.58018Weinstein, Alan 5 1985 A global invertibility theorem for manifolds with boundary. Zbl 0569.57004Weinstein, Alan 2 1985 Poisson structures and Lie algebras. Zbl 0608.58027Weinstein, Alan 1 1985 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 78 1984 ...and 62 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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