Edit Profile (opens in new tab) Bursztyn, Henrique Compute Distance To: Compute Author ID: bursztyn.henrique Published as: Bursztyn, Henrique; Bursztyn, H. Homepage: http://w3.impa.br/~henrique/ External Links: MGP Documents Indexed: 44 Publications since 2000, including 1 Book 2 Contributions as Editor Reviewing Activity: 3 Reviews Co-Authors: 28 Co-Authors with 39 Joint Publications 379 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Waldmann, Stefan 6 Cabrera, Alejandro 4 Crainic, Marius 4 Weinstein, Alan David 3 Cavalcanti, Gil Ramos 3 Drummond, Thiago 3 Gualtieri, Marco 3 Meinrenken, Eckhard 2 del Hoyo, Matías L. 2 Lima, Hudson 2 Ševera, Pavol 2 Zhu, Chenchang 1 Alekseev, Anton Yur’evich 1 Androulidakis, Iakovos 1 Bischoff, Francis 1 Dolgushev, Vasily A. 1 Fernandes, Rui Loja 1 Futorny, Vyacheslav M. 1 Hernandez Rizzo, P. 1 Iglesias Ponte, David 1 Iglesias, David 1 Iusenko, Kostiantyn 1 Macarini, Leonardo 1 Marrero, Juan Carlos 1 Martinez Alba, Nicolas 1 Netto, Clarice 1 Noseda, Francesco 1 Ortiz, Cristián 1 Ortiz, Inocencio 1 Radko, Olga 1 Rubio, Roberto all top 5 Serials 4 IMRN. International Mathematics Research Notices 3 Letters in Mathematical Physics 3 Journal of Geometric Mechanics 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 \(K\)-Theory 1 International Journal of Mathematics 1 Mathematical Research Letters 1 Matemática Contemporânea 1 European Mathematical Society Newsletter 1 Moscow Mathematical Journal 1 Bulletin of the Brazilian Mathematical Society. New Series 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 42 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 566 times in 322 Documents Cited by ▼ Year ▼ Reduction of Courant algebroids and generalized complex structures. Zbl 1115.53056Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco 94 2007 Integration of twisted Dirac brackets. Zbl 1067.58016Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang 53 2004 Gauge equivalence of Dirac structures and symplectic groupoids. Zbl 1026.58019Bursztyn, Henrique; Radko, Olga 40 2003 Multiplicative forms at the infinitesimal level. Zbl 1247.58014Bursztyn, Henrique; Cabrera, Alejandro 32 2012 Vector bundles over Lie groupoids and algebroids. Zbl 1391.53092Bursztyn, Henrique; Cabrera, Alejandro; del Hoyo, Matias 31 2016 Dirac structures, momentum maps, and quasi-Poisson manifolds. Zbl 1079.53123Bursztyn, Henrique; Crainic, Marius 22 2005 The characteristic classes of Morita equivalent star products on symplectic manifolds. Zbl 1036.53068Bursztyn, Henrique; Waldmann, Stefan 16 2002 A brief introduction to Dirac manifolds. Zbl 1293.53001Bursztyn, Henrique 16 2013 Pure spinors on Lie groups. Zbl 1251.53052Alekseev, A.; Bursztyn, H.; Meinrenken, E. 16 2009 Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. Zbl 1039.46052Bursztyn, Henrique; Waldmann, Stefan 15 2001 Linear and multiplicative 2-forms. Zbl 1206.58005Bursztyn, Henrique; Cabrera, Alejandro; Ortiz, Cristián 15 2009 Courant morphisms and moment maps. Zbl 1183.53076Bursztyn, Henrique; Iglesias Ponte, David; Ševera, Pavol 15 2009 Poisson geometry and Morita equivalence. Zbl 1075.53082Bursztyn, Henrique; Weinstein, Alan 15 2005 Semiclassical geometry of quantum line bundles and Morita equivalence of star products. Zbl 1031.53120Bursztyn, Henrique 13 2002 Picard groups in Poisson geometry. Zbl 1068.53055Bursztyn, Henrique; Weinstein, Alan 13 2004 Morita equivalence and characteristic classes of star products. Zbl 1237.53080Bursztyn, H.; Dolgushev, V.; Waldmann, S. 12 2012 Completely positive inner products and strong Morita equivalence. Zbl 1111.53071Bursztyn, Henrique; Waldmann, Stefan 12 2005 Deformation quantization of Hermitian vector bundles. Zbl 0982.53073Bursztyn, Henrique; Waldmann, Stefan 11 2000 Generalized Kähler and hyper-Kähler quotients. Zbl 1149.53017Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco 11 2008 Lie theory of multiplicative tensors. Zbl 1472.22002Bursztyn, Henrique; Drummond, Thiago 11 2019 Bimodule deformations, Picard groups and contravariant connections. Zbl 1054.53101Bursztyn, Henrique; Waldmann, Stefan 11 2004 Dirac geometry, quasi-Poisson actions and D/G-valued moment maps. Zbl 1177.53072Bursztyn, Henrique; Crainic, Marius 11 2009 Splitting theorems for Poisson and related structures. Zbl 1425.53103Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard 10 2019 On positive deformations of *-algebras. Zbl 0979.53098Bursztyn, Henrique; Waldmann, Stefan 8 2000 Hermitian star products are completely positive deformations. Zbl 1081.53078Bursztyn, Henrique; Waldmann, Stefan 7 2005 On gauge transformations of Poisson structures. Zbl 1076.53104Bursztyn, H. 6 2005 \(*\)-ideals and formal Morita equivalence of \(*\)-algebras. Zbl 1111.46303Bursztyn, Henrique; Waldmann, Stefan 6 2001 Lie groupoids and the Frölicher-Nijenhuis bracket. Zbl 1296.22004Bursztyn, Henrique; Drummond, Thiago 6 2013 Poisson vector bundles, contravariant connections and deformations. Zbl 1026.53053Bursztyn, Henrique 5 2001 Quasi-Poisson structures as Dirac structures. Zbl 1095.53055Bursztyn, Henrique; Crainic, Marius; Ševera, Pavol 5 2005 Generalized Kähler geometry of instanton moduli spaces. Zbl 1332.53100Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco 5 2015 On higher Dirac structures. Zbl 1483.53097Bursztyn, Henrique; Martinez Alba, Nicolas; Rubio, Roberto 5 2019 Multisymplectic geometry and Lie groupoids. Zbl 1335.53107Bursztyn, Henrique; Cabrera, Alejandro; Iglesias, David 4 2015 Deformation spaces and normal forms around transversals. Zbl 1434.53029Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard 4 2020 Symmetries and reduction of multiplicative 2-forms. Zbl 1260.53131Bursztyn, Henrique; Cabrera, Alejandro 3 2012 Introduction to symplectic geometry. – 14th school of differential geometry, Salvador, Brazil, July 17–21, 2006. (Introdução à geometria simplética. – XIV escola de geometria diferencial.) Zbl 1147.53062Bursztyn, Henrique; Macarini, Leonardo 2 2006 Morita equivalence of formal Poisson structures. Zbl 1507.53077Bursztyn, Henrique; Ortiz, Inocencio; Waldmann, Stefan 2 2022 Picard groups of Poisson manifolds. Zbl 1392.53088Bursztyn, Henrique; Loja Fernandes, Rui 2 2018 Dirac structures and Nijenhuis operators. Zbl 1507.58010Bursztyn, Henrique; Drummond, Thiago; Netto, Clarice 1 2022 Morita equivalence of formal Poisson structures. Zbl 1507.53077Bursztyn, Henrique; Ortiz, Inocencio; Waldmann, Stefan 2 2022 Dirac structures and Nijenhuis operators. Zbl 1507.58010Bursztyn, Henrique; Drummond, Thiago; Netto, Clarice 1 2022 Deformation spaces and normal forms around transversals. Zbl 1434.53029Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard 4 2020 Lie theory of multiplicative tensors. Zbl 1472.22002Bursztyn, Henrique; Drummond, Thiago 11 2019 Splitting theorems for Poisson and related structures. Zbl 1425.53103Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard 10 2019 On higher Dirac structures. Zbl 1483.53097Bursztyn, Henrique; Martinez Alba, Nicolas; Rubio, Roberto 5 2019 Picard groups of Poisson manifolds. Zbl 1392.53088Bursztyn, Henrique; Loja Fernandes, Rui 2 2018 Vector bundles over Lie groupoids and algebroids. Zbl 1391.53092Bursztyn, Henrique; Cabrera, Alejandro; del Hoyo, Matias 31 2016 Generalized Kähler geometry of instanton moduli spaces. Zbl 1332.53100Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco 5 2015 Multisymplectic geometry and Lie groupoids. Zbl 1335.53107Bursztyn, Henrique; Cabrera, Alejandro; Iglesias, David 4 2015 A brief introduction to Dirac manifolds. Zbl 1293.53001Bursztyn, Henrique 16 2013 Lie groupoids and the Frölicher-Nijenhuis bracket. Zbl 1296.22004Bursztyn, Henrique; Drummond, Thiago 6 2013 Multiplicative forms at the infinitesimal level. Zbl 1247.58014Bursztyn, Henrique; Cabrera, Alejandro 32 2012 Morita equivalence and characteristic classes of star products. Zbl 1237.53080Bursztyn, H.; Dolgushev, V.; Waldmann, S. 12 2012 Symmetries and reduction of multiplicative 2-forms. Zbl 1260.53131Bursztyn, Henrique; Cabrera, Alejandro 3 2012 Pure spinors on Lie groups. Zbl 1251.53052Alekseev, A.; Bursztyn, H.; Meinrenken, E. 16 2009 Linear and multiplicative 2-forms. Zbl 1206.58005Bursztyn, Henrique; Cabrera, Alejandro; Ortiz, Cristián 15 2009 Courant morphisms and moment maps. Zbl 1183.53076Bursztyn, Henrique; Iglesias Ponte, David; Ševera, Pavol 15 2009 Dirac geometry, quasi-Poisson actions and D/G-valued moment maps. Zbl 1177.53072Bursztyn, Henrique; Crainic, Marius 11 2009 Generalized Kähler and hyper-Kähler quotients. Zbl 1149.53017Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco 11 2008 Reduction of Courant algebroids and generalized complex structures. Zbl 1115.53056Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco 94 2007 Introduction to symplectic geometry. – 14th school of differential geometry, Salvador, Brazil, July 17–21, 2006. (Introdução à geometria simplética. – XIV escola de geometria diferencial.) Zbl 1147.53062Bursztyn, Henrique; Macarini, Leonardo 2 2006 Dirac structures, momentum maps, and quasi-Poisson manifolds. Zbl 1079.53123Bursztyn, Henrique; Crainic, Marius 22 2005 Poisson geometry and Morita equivalence. Zbl 1075.53082Bursztyn, Henrique; Weinstein, Alan 15 2005 Completely positive inner products and strong Morita equivalence. Zbl 1111.53071Bursztyn, Henrique; Waldmann, Stefan 12 2005 Hermitian star products are completely positive deformations. Zbl 1081.53078Bursztyn, Henrique; Waldmann, Stefan 7 2005 On gauge transformations of Poisson structures. Zbl 1076.53104Bursztyn, H. 6 2005 Quasi-Poisson structures as Dirac structures. Zbl 1095.53055Bursztyn, Henrique; Crainic, Marius; Ševera, Pavol 5 2005 Integration of twisted Dirac brackets. Zbl 1067.58016Bursztyn, Henrique; Crainic, Marius; Weinstein, Alan; Zhu, Chenchang 53 2004 Picard groups in Poisson geometry. Zbl 1068.53055Bursztyn, Henrique; Weinstein, Alan 13 2004 Bimodule deformations, Picard groups and contravariant connections. Zbl 1054.53101Bursztyn, Henrique; Waldmann, Stefan 11 2004 Gauge equivalence of Dirac structures and symplectic groupoids. Zbl 1026.58019Bursztyn, Henrique; Radko, Olga 40 2003 The characteristic classes of Morita equivalent star products on symplectic manifolds. Zbl 1036.53068Bursztyn, Henrique; Waldmann, Stefan 16 2002 Semiclassical geometry of quantum line bundles and Morita equivalence of star products. Zbl 1031.53120Bursztyn, Henrique 13 2002 Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. Zbl 1039.46052Bursztyn, Henrique; Waldmann, Stefan 15 2001 \(*\)-ideals and formal Morita equivalence of \(*\)-algebras. Zbl 1111.46303Bursztyn, Henrique; Waldmann, Stefan 6 2001 Poisson vector bundles, contravariant connections and deformations. Zbl 1026.53053Bursztyn, Henrique 5 2001 Deformation quantization of Hermitian vector bundles. Zbl 0982.53073Bursztyn, Henrique; Waldmann, Stefan 11 2000 On positive deformations of *-algebras. Zbl 0979.53098Bursztyn, Henrique; Waldmann, Stefan 8 2000 all cited Publications top 5 cited Publications all top 5 Cited by 344 Authors 24 Waldmann, Stefan 19 Bursztyn, Henrique 11 Jotz Lean, Madeleine 10 Cabrera, Alejandro 9 Meinrenken, Eckhard 8 Wang, Yicao 7 del Hoyo, Matías L. 7 Fernandes, Rui Loja 7 Gualtieri, Marco 7 Vitagliano, Luca 6 Crainic, Marius 6 Grabowski, Janusz 6 Vaisman, Izu 6 Zambon, Marco 5 Cattaneo, Alberto Sergio 5 Drummond, Thiago 5 Liu, Zhangju 5 Mǎrcuţ, Ioan 5 Ševera, Pavol 5 Vysoký, Jan 5 Zhu, Chenchang 4 Cavalcanti, Gil Ramos 4 Esposito, Chiara 4 Frejlich, Pedro 4 Grabowska, Katarzyna 4 Jurčo, Branislav 4 Laurent-Gengoux, Camille 4 Neumaier, Nikolai 4 Ortiz, Cristián 4 Ratiu, Tudor Stefan 4 Ruíz-Pantaleón, José Crispín 4 Sheng, Yunhe 4 Stiénon, Mathieu 4 Suárez-Serrato, Pablo 4 Szabo, Richard J. 4 Uribe, Bernardo 4 Weinstein, Alan David 4 Xu, Ping 3 Bischoff, Francis 3 Bruce, Andrew James 3 Caseiro, Raquel 3 Cendra, Hernán 3 Cueca, Miquel 3 Evangelista-Alvarado, Miguel Ángel 3 Gutt, Simone 3 Lang, Honglei 3 Lin, Yi 3 Mehta, Rajan Amit 3 Nunes da Costa, Joana Margarida M. 3 Vera, Ramón 3 Wade, Aïssa 2 Affane, Atallah 2 Alekseev, Anton Yur’evich 2 Balseiro, Paula 2 Barbero-Liñán, María 2 Boalch, Philip P. 2 Bonechi, Francesco 2 Bordemann, Martin 2 Brahic, Olivier 2 Bressler, Paul 2 Chatzistavrakidis, Athanasios 2 Chen, Zhuo 2 Contreras, Iván A. 2 Cortés, Vicente 2 Das, Apurba 2 David, Liana 2 De Nicola, Antonio 2 Demulder, Saskia 2 Gabella, Maxime 2 Garcia-Fernandez, Mario 2 Hirota, Yuji 2 Hu, Shengda 2 Iglesias, David 2 Jansen, Stefan 2 Keller, Frank 2 Kosmann-Schwarzbach, Yvette 2 Krepski, Derek 2 Kupriyanov, Vladislav G. 2 Li, Yanpeng 2 Lima, Hudson 2 Lupercio, Ernesto 2 Majid, Shahn 2 Mandal, Ashis 2 Marrero, Juan Carlos 2 Martín de Diego, David 2 Paternain, Miguel 2 Pugliese, Fabrizio 2 Rengifo, Camilo 2 Rubio, Roberto 2 Safronov, Pavel 2 Salazar, María Amelia 2 Sämann, Christian 2 Sardón, Cristina 2 Schaumann, Gregor 2 Schupp, Peter 2 Śniatycki, Jędrzej 2 Sparano, Giovanni 2 Sparks, James 2 Tang, Xiang 2 Tomasiello, Alessandro ...and 244 more Authors all top 5 Cited in 84 Serials 49 Journal of Geometry and Physics 24 Letters in Mathematical Physics 23 Communications in Mathematical Physics 14 Advances in Mathematics 14 Differential Geometry and its Applications 14 Journal of High Energy Physics 12 Journal of Geometric Mechanics 7 Reviews in Mathematical Physics 7 Pacific Journal of Mathematics 7 Bulletin of the Brazilian Mathematical Society. New Series 6 Reports on Mathematical Physics 6 Transactions of the American Mathematical Society 6 Indagationes Mathematicae. New Series 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 International Journal of Geometric Methods in Modern Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Mathematical Physics 4 Annales de l’Institut Fourier 4 Compositio Mathematica 4 Mathematische Annalen 4 Annals of Global Analysis and Geometry 4 Transformation Groups 3 Journal of Pure and Applied Algebra 3 International Journal of Mathematics 2 International Journal of Modern Physics A 2 Archive for Rational Mechanics and Analysis 2 Nuclear Physics. B 2 Fortschritte der Physik 2 Proceedings of the American Mathematical Society 2 Theory and Applications of Categories 2 Documenta Mathematica 2 Mathematical Physics, Analysis and Geometry 2 Algebras and Representation Theory 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Frontiers of Mathematics in China 2 Journal of Noncommutative Geometry 2 Journal of Physics A: Mathematical and Theoretical 2 Journal de l’École Polytechnique – Mathématiques 2 Complex Manifolds 1 Communications in Algebra 1 General Relativity and Gravitation 1 Physics Reports 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archivum Mathematicum 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Forum Mathematicum 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Nonlinear Science 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Regular and Chaotic Dynamics 1 Lobachevskii Journal of Mathematics 1 The Quarterly Journal of Mathematics 1 Moscow Mathematical Journal 1 Portugaliae Mathematica. Nova Série 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 The European Physical Journal C. Particles and Fields 1 Journal of Fixed Point Theory and Applications 1 Journal of Singularities 1 Journal of Computational Dynamics all top 5 Cited in 31 Fields 258 Differential geometry (53-XX) 69 Global analysis, analysis on manifolds (58-XX) 54 Quantum theory (81-XX) 43 Topological groups, Lie groups (22-XX) 34 Nonassociative rings and algebras (17-XX) 30 Mechanics of particles and systems (70-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Relativity and gravitational theory (83-XX) 19 Algebraic topology (55-XX) 18 Algebraic geometry (14-XX) 17 Associative rings and algebras (16-XX) 16 Manifolds and cell complexes (57-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Functional analysis (46-XX) 11 Category theory; homological algebra (18-XX) 5 Group theory and generalizations (20-XX) 4 Partial differential equations (35-XX) 3 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year