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## Halbout, Gilles

Compute Distance To:
 Author ID: halbout.gilles Published as: Halbout, Gilles External Links: Wikidata
 Documents Indexed: 29 Publications since 1999, including 1 Book
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#### Co-Authors

 11 single-authored 7 Enriquez, Benjamin 4 Tang, Xiang 3 Gavarini, Fabio 2 Calaque, Damien 2 Ginot, Grégory 1 Dolgushev, Vasily A. 1 Gammella, Angela 1 Oudom, Jean-Michel
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#### Serials

 3 Letters in Mathematical Physics 3 Journal of Algebra 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Pacific Journal of Mathematics 2 IMRN. International Mathematics Research Notices 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Compositio Mathematica 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Expositiones Mathematicae 1 Annales Mathématiques Blaise Pascal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 IRMA Lectures in Mathematics and Theoretical Physics
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#### Fields

 18 Nonassociative rings and algebras (17-XX) 17 Differential geometry (53-XX) 14 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 6 Quantum theory (81-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 $$K$$-theory (19-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

22 Publications have been cited 94 times in 77 Documents Cited by Year
Formality theorems for Hochschild chains in the Lie algebroid setting. Zbl 1141.53084
Calaque, Damien; Dolgushev, Vasiliy; Halbout, Gilles
2007
A formality theorem for Poisson manifolds. Zbl 1066.53145
Ginot, Gregory; Halbout, Gilles
2003
Noncommutative Poisson structures on orbifolds. Zbl 1269.58002
Halbout, Gilles; Tang, Xiang
2010
Weak quantization of Poisson structures. Zbl 1223.53064
Calaque, Damien; Halbout, Gilles
2011
Quantization of coboundary Lie bialgebras. Zbl 1242.17021
Enriquez, Benjamin; Halbout, Gilles
2010
Formality theorem for Lie bialgebras and quantization of twists and coboundary $$r$$-matrices. Zbl 1163.17303
Halbout, Gilles
2006
Deformations of orbifolds with noncommutative linear Poisson structures. Zbl 1207.53082
Halbout, Gilles; Oudom, Jean-Michel; Tang, Xiang
2011
Braidings of formal Poisson groups with quasitriangular dual. Zbl 1026.17019
Gavarini, Fabio; Halbout, Gilles
2001
Homotopy formulas between the Hochschild and de Rham complexes. Zbl 1007.16008
Halbout, Gilles
2001
Lifts of $$C_\infty$$- and $$L_\infty$$-morphisms to $$G_\infty$$-morphisms. Zbl 1152.53070
Ginot, Grégory; Halbout, Gilles
2006
Globalization of Tamarkin’s formality theorem. Zbl 1081.53079
Halbout, Gilles
2005
Uniqueness of braidings of quasitriangular Lie bialgebras and lifts of classical $$r$$-matrices. Zbl 1044.17019
Enriquez, Benjamin; Gavarini, Fabio; Halbout, Gilles
2003
Quantization of quasi-Lie bialgebras. Zbl 1328.17016
Enriquez, Benjamin; Halbout, Gilles
2010
$$G_\infty$$-formality theorem in terms of graphs and associated Chevalley-Eilenberg-Harrison cohomology. Zbl 1084.18007
Gammella, Angela; Halbout, Gilles
2005
An $$\hbar$$-adic valuation property of universal $$R$$-matrices. Zbl 1015.17008
Enriquez, Benjamin; Halbout, Gilles
2003
Deformation quantization, methods and applications. Zbl 1015.53060
Halbout, Gilles
2002
Dunkl operator and quantization of $$\mathbb Z_2$$-singularity. Zbl 1266.53081
Halbout, Gilles; Tang, Xiang
2012
Quantization of $$\Gamma$$-Lie bialgebras. Zbl 1144.17016
Enriquez, Benjamin; Halbout, Gilles
2008
Formality theorems: from associators to a global formulation. Zbl 1112.53067
Halbout, Gilles
2006
Poisson algebras associated to quasi-Hopf algebras. Zbl 1061.17016
Enriquez, Benjamin; Halbout, Gilles
2004
Braiding structures on formal Poisson groups and classical solutions of the QYBE. Zbl 1083.17007
Gavarini, Fabio; Halbout, Gilles
2003
Computing an invariant of a closed star-product over a symplectic manifold. Zbl 0939.53045
Halbout, Gilles
1999
Dunkl operator and quantization of $$\mathbb Z_2$$-singularity. Zbl 1266.53081
Halbout, Gilles; Tang, Xiang
2012
Weak quantization of Poisson structures. Zbl 1223.53064
Calaque, Damien; Halbout, Gilles
2011
Deformations of orbifolds with noncommutative linear Poisson structures. Zbl 1207.53082
Halbout, Gilles; Oudom, Jean-Michel; Tang, Xiang
2011
Noncommutative Poisson structures on orbifolds. Zbl 1269.58002
Halbout, Gilles; Tang, Xiang
2010
Quantization of coboundary Lie bialgebras. Zbl 1242.17021
Enriquez, Benjamin; Halbout, Gilles
2010
Quantization of quasi-Lie bialgebras. Zbl 1328.17016
Enriquez, Benjamin; Halbout, Gilles
2010
Quantization of $$\Gamma$$-Lie bialgebras. Zbl 1144.17016
Enriquez, Benjamin; Halbout, Gilles
2008
Formality theorems for Hochschild chains in the Lie algebroid setting. Zbl 1141.53084
Calaque, Damien; Dolgushev, Vasiliy; Halbout, Gilles
2007
Formality theorem for Lie bialgebras and quantization of twists and coboundary $$r$$-matrices. Zbl 1163.17303
Halbout, Gilles
2006
Lifts of $$C_\infty$$- and $$L_\infty$$-morphisms to $$G_\infty$$-morphisms. Zbl 1152.53070
Ginot, Grégory; Halbout, Gilles
2006
Formality theorems: from associators to a global formulation. Zbl 1112.53067
Halbout, Gilles
2006
Globalization of Tamarkin’s formality theorem. Zbl 1081.53079
Halbout, Gilles
2005
$$G_\infty$$-formality theorem in terms of graphs and associated Chevalley-Eilenberg-Harrison cohomology. Zbl 1084.18007
Gammella, Angela; Halbout, Gilles
2005
Poisson algebras associated to quasi-Hopf algebras. Zbl 1061.17016
Enriquez, Benjamin; Halbout, Gilles
2004
A formality theorem for Poisson manifolds. Zbl 1066.53145
Ginot, Gregory; Halbout, Gilles
2003
Uniqueness of braidings of quasitriangular Lie bialgebras and lifts of classical $$r$$-matrices. Zbl 1044.17019
Enriquez, Benjamin; Gavarini, Fabio; Halbout, Gilles
2003
An $$\hbar$$-adic valuation property of universal $$R$$-matrices. Zbl 1015.17008
Enriquez, Benjamin; Halbout, Gilles
2003
Braiding structures on formal Poisson groups and classical solutions of the QYBE. Zbl 1083.17007
Gavarini, Fabio; Halbout, Gilles
2003
Deformation quantization, methods and applications. Zbl 1015.53060
Halbout, Gilles
2002
Braidings of formal Poisson groups with quasitriangular dual. Zbl 1026.17019
Gavarini, Fabio; Halbout, Gilles
2001
Homotopy formulas between the Hochschild and de Rham complexes. Zbl 1007.16008
Halbout, Gilles
2001
Computing an invariant of a closed star-product over a symplectic manifold. Zbl 0939.53045
Halbout, Gilles
1999
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#### Cited by 94 Authors

 13 Halbout, Gilles 6 Enriquez, Benjamin 4 Calaque, Damien 4 Witherspoon, Sarah J. 3 Aloulou, Walid 3 Arnal, Didier 3 Gavarini, Fabio 3 Pop, Iulia I. 3 Shepler, Anne V. 3 Stolin, Alexander 3 Van den Bergh, Michel 3 Yekutieli, Amnon 2 Chatbouri, Ridha 2 Dolgushev, Vasily A. 2 Hu, Naihong 2 Liao, Hsuan-Yi 2 Polesello, Pietro 2 Rossi, Carlo Antonio 2 Schnitzer, Jonas 2 Ševera, Pavol 2 Sharapov, Alexey A. 2 Skvortsov, Evgeny D. 2 Stiénon, Mathieu 2 Tamarkin, Dmitry E. 2 Tang, Xiang 2 Tsygan, Boris 2 Waldmann, Stefan 2 Xu, Ping 1 Agarwal, Ravi P. 1 Andler, Martin 1 Bapat, Asilata 1 Batakidis, Panagiotis 1 Ben-Bassat, Oren 1 Berger, Roland 1 Błaszak, Maciej 1 Bohner, Martin J. 1 Bordemann, Martin 1 Brochier, Adrien 1 Căldăraru, Andrei 1 Chemla, Sophie 1 D’Agnolo, Andrea 1 Domański, Ziemowit 1 Esposito, Chiara 1 Etingof, Pavel Il’ich 1 Fiorenza, Domenico 1 Frønsdal, Christian 1 Gammella, Angela 1 Giaquinto, Anthony 1 Ginot, Grégory 1 Grady, Ryan E. 1 Gwilliam, Owen 1 He, Weiqiang 1 Hermann, Reiner 1 Ionescu, Lucian M. 1 Jordan, David Andrew 1 Karolinsky, Eugene 1 Kashiwara, Masaki 1 Khoroshkin, Sergey M. 1 Kordyukov, Yuri A. 1 Li, Si 1 Li, Tongxing 1 Li, Yifan 1 Makhlouf, Abdenacer 1 Matsubara, Keizo 1 Merkulov, Sergei A. 1 Montaner, Fernando 1 Negron, Cris 1 Neumaier, Nikolai 1 Pflaum, Markus J. 1 Pichereau, Anne 1 Posthuma, Hessel Bouke 1 Sahi, Siddhartha 1 Sakáloš, Štefan 1 Samsonov, M. E. 1 Schapira, Pierre 1 Schedler, Travis 1 Solomon, Noam 1 Stenmark, Mårten 1 Stolin, A. M. 1 Su, Yucai 1 Tarasov, Vitaly Olegovich 1 Tolstoĭ, Valeriĭ Nikolaevich 1 Tong, Zhaojia 1 Torossian, Charles 1 Tortella, Pietro 1 Tseng, Hsian-Hua 1 Voglaire, Yannick 1 Wang, Xiuling 1 Xu, Xiaomeng 1 Yermolova-Magnusson, Julia 1 Yuan, Lamei 1 Zel’manov, Efim Isaakovich 1 Zhang, Chenghui 1 Zwicknagl, Sebastian
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#### Cited in 33 Serials

 14 Letters in Mathematical Physics 11 Advances in Mathematics 8 Journal of Algebra 4 Journal of Geometry and Physics 4 Journal of Pure and Applied Algebra 3 Selecta Mathematica. New Series 2 Communications in Mathematical Physics 2 Transactions of the American Mathematical Society 2 Annales Mathématiques Blaise Pascal 2 Annals of Mathematics. Second Series 2 Journal of Noncommutative Geometry 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of the American Mathematical Society 1 Annals of Physics 1 Bulletin des Sciences Mathématiques 1 Transformation Groups 1 Algebras and Representation Theory 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China
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#### Cited in 19 Fields

 34 Differential geometry (53-XX) 33 Nonassociative rings and algebras (17-XX) 32 Associative rings and algebras (16-XX) 18 Category theory; homological algebra (18-XX) 12 Algebraic geometry (14-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Group theory and generalizations (20-XX) 3 Functional analysis (46-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Relativity and gravitational theory (83-XX)