Cattaneo, Alberto; Contreras, Ivan Split canonical relations. (Relations canoniques scindées.) (English. French summary) Zbl 1505.53095 Ann. Henri Lebesgue 4, 155-185 (2021). Reviewer: Yuji Hirota (Sagamihara) MSC: 53D42 53D20 53D22 17B63 53D17 53D12 PDFBibTeX XMLCite \textit{A. Cattaneo} and \textit{I. Contreras}, Ann. Henri Lebesgue 4, 155--185 (2021; Zbl 1505.53095) Full Text: DOI arXiv
Cattaneo, Alberto S.; Moshayedi, Nima; Wernli, Konstantin Relational symplectic groupoid quantization for constant Poisson structures. (English) Zbl 1385.53081 Lett. Math. Phys. 107, No. 9, 1649-1688 (2017). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D17 57R56 81T10 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Lett. Math. Phys. 107, No. 9, 1649--1688 (2017; Zbl 1385.53081) Full Text: DOI arXiv Link
Cattaneo, Alberto S.; Contreras, Ivan Relational symplectic groupoids. (English) Zbl 1351.53100 Lett. Math. Phys. 105, No. 5, 723-767 (2015). Reviewer: Zhuo Chen (Beijing) MSC: 53D17 70S05 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{I. Contreras}, Lett. Math. Phys. 105, No. 5, 723--767 (2015; Zbl 1351.53100) Full Text: DOI arXiv Link
Cattaneo, Alberto; Contreras, Ivan Groupoids and Poisson sigma models with boundary. (English) Zbl 1299.81035 Cardona, Alexander (ed.) et al., Geometric, algebraic and topological methods for quantum field theory. Papers based on the presentations at the 7th summer school, Villa de Leyva, Colombia, July 4–22, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4460-04-0/hbk; 978-981-4460-06-4/ebook). 315-330 (2014). MSC: 81T20 53D17 PDFBibTeX XMLCite \textit{A. Cattaneo} and \textit{I. Contreras}, in: Geometric, algebraic and topological methods for quantum field theory. Papers based on the presentations at the 7th summer school, Villa de Leyva, Colombia, July 4--22, 2011. Hackensack, NJ: World Scientific. 315--330 (2014; Zbl 1299.81035) Full Text: DOI arXiv
Cattaneo, Alberto S. Coisotropic submanifolds and dual pairs. (English) Zbl 1326.53119 Lett. Math. Phys. 104, No. 3, 243-270 (2014). Reviewer: Laiachi El Kaoutit (Ceuta) MSC: 53D17 81T45 53D20 58H05 PDFBibTeX XMLCite \textit{A. S. Cattaneo}, Lett. Math. Phys. 104, No. 3, 243--270 (2014; Zbl 1326.53119) Full Text: DOI arXiv Link
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan Symplectic microgeometry. III: Monoids. (English) Zbl 1281.53079 J. Symplectic Geom. 11, No. 3, 319-341 (2013). Reviewer: Benjamin Cahen (Metz) MSC: 53D17 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., J. Symplectic Geom. 11, No. 3, 319--341 (2013; Zbl 1281.53079) Full Text: DOI arXiv Link
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan Integration of Lie algebroid comorphisms. (English) Zbl 1280.58010 Port. Math. (N.S.) 70, No. 2, 113-144 (2013). Reviewer: M. Habil Gürsoy (Malatya) MSC: 58H05 53D17 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Port. Math. (N.S.) 70, No. 2, 113--144 (2013; Zbl 1280.58010) Full Text: DOI arXiv
Cattaneo, A. S.; Zambon, M. A supergeometric approach to Poisson reduction. (English) Zbl 1267.53088 Commun. Math. Phys. 318, No. 3, 675-716 (2013). Reviewer: Liviu Popescu (Craiova) MSC: 53D17 58C50 17B63 53D20 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{M. Zambon}, Commun. Math. Phys. 318, No. 3, 675--716 (2013; Zbl 1267.53088) Full Text: DOI arXiv
Cattaneo, Alberto S.; Felder, Giovanni; Willwacher, Thomas The character map in deformation quantization. (English) Zbl 1227.53087 Adv. Math. 228, No. 4, 1966-1989 (2011). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Adv. Math. 228, No. 4, 1966--1989 (2011; Zbl 1227.53087) Full Text: DOI arXiv
Cattaneo, Alberto S.; Felder, Giovanni Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains. (English) Zbl 1217.53083 Cattaneo, Alberto S. (ed.) et al., Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff. Basel: Birkhäuser (ISBN 978-0-8176-4734-6/hbk; 978-0-8176-4735-3/ebook). Progress in Mathematics 287, 111-137 (2011). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 81T40 81T70 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{G. Felder}, Prog. Math. 287, 111--137 (2011; Zbl 1217.53083) Full Text: arXiv
Cattaneo, Alberto S.; Dherin, Benoit; Weinstein, Alan Symplectic microgeometry. I: Micromorphisms. (English) Zbl 1201.53082 J. Symplectic Geom. 8, No. 2, 205-223 (2010). Reviewer: Benjamin Cahen (Metz) MSC: 53D05 53D50 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., J. Symplectic Geom. 8, No. 2, 205--223 (2010; Zbl 1201.53082) Full Text: DOI arXiv Euclid
Cattaneo, Alberto Sergio; Felder, Giovanni; Willwacher, Thomas On \(L_\infty\)-morphisms of cyclic chains. (English) Zbl 1262.53083 Lett. Math. Phys. 90, No. 1-3, 85-101 (2009). MSC: 53D55 16E45 53D17 18G55 81T40 81T70 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Lett. Math. Phys. 90, No. 1--3, 85--101 (2009; Zbl 1262.53083) Full Text: DOI arXiv
Cattaneo, A. S.; Zambon, M. Graded geometry and Poisson reduction. (English) Zbl 1180.81080 de Andrés, Luis Carlos (ed.) et al., Special metrics and supersymmetry. Lectures given in the workshop on geometry and physics: special metrics and supersymmetry, Bilbao, Spain, 29–31 May 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0626-1/pbk). AIP Conference Proceedings 1093, 48-56 (2009). MSC: 81S10 58A50 14A22 53D17 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{M. Zambon}, AIP Conf. Proc. 1093, 48--56 (2009; Zbl 1180.81080) Full Text: DOI arXiv
Cattaneo, A. S.; Zambon, M. Coisotropic embeddings in Poisson manifolds. (English) Zbl 1169.53060 Trans. Am. Math. Soc. 361, No. 7, 3721-3746 (2009). Reviewer: Benjamin Cahen (Metz) MSC: 53D17 53D55 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{M. Zambon}, Trans. Am. Math. Soc. 361, No. 7, 3721--3746 (2009; Zbl 1169.53060) Full Text: DOI arXiv
Cattaneo, Alberto S.; Torossian, Charles Quantification of symmetric pairs and Kontsevich’s diagrams. (Quantification pour les paires symétriques et diagrammes de Kontsevich.) (French) Zbl 1162.53060 Ann. Sci. Éc. Norm. Supér. (4) 41, No. 5, 789-854 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{C. Torossian}, Ann. Sci. Éc. Norm. Supér. (4) 41, No. 5, 789--854 (2008; Zbl 1162.53060) Full Text: DOI arXiv Link
Cattaneo, Alberto S.; Schätz, Florian Equivalences of higher derived brackets. (English) Zbl 1177.53073 J. Pure Appl. Algebra 212, No. 11, 2450-2460 (2008). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D17 17B63 17B70 18G55 16E45 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{F. Schätz}, J. Pure Appl. Algebra 212, No. 11, 2450--2460 (2008; Zbl 1177.53073) Full Text: DOI arXiv
Cattaneo, Alberto S. Deformation quantization and reduction. (English) Zbl 1149.53054 Dito, Giuseppe (ed.) et al., Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4423-6/pbk). Contemporary Mathematics 450, 79-101 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 20G42 PDFBibTeX XMLCite \textit{A. S. Cattaneo}, Contemp. Math. 450, 79--101 (2008; Zbl 1149.53054) Full Text: arXiv
Cattaneo, Alberto S.; Zambon, Marco Pre-Poisson submanifolds. (English) Zbl 1173.53041 Dito, Giuseppe (ed.) et al., Proceedings of the school on Poisson geometry and related topics, Yokohama, Japan, May 31–June 2, 2006. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-87971-092-1/pbk). Travaux Mathématiques 17, 61-74 (2007). Reviewer: Béchir Dali (Riyadh) MSC: 53D17 17B63 22A22 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{M. Zambon}, Trav. Math. 17, 61--74 (2007; Zbl 1173.53041) Full Text: arXiv
Cattaneo, Alberto S.; Felder, Giovanni Relative formality theorem and quantisation of coisotropic submanifolds. (English) Zbl 1106.53060 Adv. Math. 208, No. 2, 521-548 (2007). Reviewer: Angela Gammella (Creil) MSC: 53D55 53D17 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{G. Felder}, Adv. Math. 208, No. 2, 521--548 (2007; Zbl 1106.53060) Full Text: DOI arXiv
Cattaneo, Alberto S. From topological field theory to deformation quantization and reduction. (English) Zbl 1101.81097 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 339-365 (2006). Reviewer: Gert Roepstorff (Aachen) MSC: 81T45 51P05 53D55 58A50 81T70 PDFBibTeX XMLCite \textit{A. S. Cattaneo}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 339--365 (2006; Zbl 1101.81097) Full Text: arXiv
Cattaneo, Alberto; Keller, Bernhard; Torossian, Charles; Bruguières, Alain Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) (English, French) Zbl 1093.53095 Panoramas et Synthèses 20. Paris: Société Mathématique de France (ISBN 2-85629-183-X/pbk). vii, 186 p. (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 16E40 53D17 81S10 22E45 PDFBibTeX XMLCite \textit{A. Cattaneo} et al., Déformation, quantification, théorie de Lie. Paris: Société Mathématique de France (SMF) (2005; Zbl 1093.53095) Backlinks: MO
Cattaneo, Alberto S.; Xu, Ping Integration of twisted Poisson structures. (English) Zbl 1159.53347 J. Geom. Phys. 49, No. 2, 187-196 (2004). MSC: 53D17 53D20 58H05 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{P. Xu}, J. Geom. Phys. 49, No. 2, 187--196 (2004; Zbl 1159.53347) Full Text: DOI arXiv
Cattaneo, Alberto S.; Felder, Giovanni Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model. (English) Zbl 1065.53063 Lett. Math. Phys. 69, Spec. Iss., 157-175 (2004). Reviewer: Mircea Puta (Timişoara) MSC: 53D17 53D20 53D55 81T70 81T30 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{G. Felder}, Lett. Math. Phys. 69, 157--175 (2004; Zbl 1065.53063) Full Text: DOI arXiv Link
Cattaneo, Alberto S. On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds. (English) Zbl 1059.53064 Lett. Math. Phys. 67, No. 1, 33-48 (2004). Reviewer: Angela Gammella (Nogent sur Oise) MSC: 53D17 53D20 22A22 58H05 PDFBibTeX XMLCite \textit{A. S. Cattaneo}, Lett. Math. Phys. 67, No. 1, 33--48 (2004; Zbl 1059.53064) Full Text: DOI arXiv
Cattaneo, Alberto S.; Felder, Giovanni; Tomassini, Lorenzo From local to global deformation quantization of Poisson manifolds. (English) Zbl 1037.53063 Duke Math. J. 115, No. 2, 329-352 (2002). Reviewer: Nikolai Alexander Neumaier (Frankfurt am Main) MSC: 53D55 53D17 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Duke Math. J. 115, No. 2, 329--352 (2002; Zbl 1037.53063) Full Text: DOI arXiv
Cattaneo, Alberto S.; Felder, Giovanni Poisson sigma models and symplectic groupoids. (English) Zbl 1038.53074 Landsman, N. P. (ed.) et al., Quantization of singular symplectic quotients. Based on a research-in-pairs workshop, Oberwolfach, Germany, August 2–6, 1999. Basel: Birkhäuser (ISBN 3-7643-6608-7/hbk). Prog. Math. 198, 61-93 (2001). Reviewer: David Iglesias-Ponte (University Park) MSC: 53D17 53C80 58H05 53D55 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{G. Felder}, Prog. Math. 198, 61--93 (2001; Zbl 1038.53074) Full Text: arXiv