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Found 77 Documents (Results 1–77)

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Choie, YoungJu; Dumas, François; Martin, François; Royer, Emmanuel

Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets. (Déformations formelles de l’algèbre des formes de Jacobi et crochets de Rankin-Cohen.) (English. French summary) Zbl 1476.53107

C. R., Math., Acad. Sci. Paris 359, No. 4, 505-521 (2021).
Reviewer: Zhuo Chen (Beijing)
MSC:  53D55 17B63 11F25 11F11 16W25
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\textit{Y. Choie} et al., C. R., Math., Acad. Sci. Paris 359, No. 4, 505--521 (2021; Zbl 1476.53107)
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Gorbounov, Vassily; Gwilliam, Owen; Williams, Brian

Chiral differential operators via quantization of the holomorphic \(\sigma\)-model. (English) Zbl 1508.81940

Astérisque 419. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-920-3/pbk). ix, 210 p. (2020).
MSC:  81T15 81T40 81T70 17B69 55N34 53D55 53Z05 81-02
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\textit{V. Gorbounov} et al., Chiral differential operators via quantization of the holomorphic \(\sigma\)-model. Paris: Société Mathématique de France (SMF) (2020; Zbl 1508.81940)
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Tosiek, Jaromir

States in deformation quantisation: hopes and difficulties. (English) Zbl 1447.81146

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 139-146 (2019).
MSC:  81S10 53D55 46L30
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\textit{J. Tosiek}, in: Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2--8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th ``School of geometry and physics''. Cham: Birkhäuser. 139--146 (2019; Zbl 1447.81146)
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Pantev, Tony; Vezzosi, Gabriele

Symplectic and Poisson derived geometry and deformation quantization. (English) Zbl 1446.53067

de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 405-457 (2018).
MSC:  53D30 14A20 14D15 14F08 17B63 53D55
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\textit{T. Pantev} and \textit{G. Vezzosi}, Proc. Symp. Pure Math. 97, 405--457 (2018; Zbl 1446.53067)
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Kitchloo, Nitu; Morava, Jack

The stable symplectic category and a conjecture of Kontsevich. (English) Zbl 1452.55005

Ausoni, Christian (ed.) et al., An alpine bouquet of algebraic topology. Alpine algebraic and applied topology conference, Saas-Almagell, Switzerland, August 15–21, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 708, 181-199 (2018).
Reviewer: Carlos Segovia (Oaxaca)
MSC:  55N22 53D55 55P43 18M60
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\textit{N. Kitchloo} and \textit{J. Morava}, Contemp. Math. 708, 181--199 (2018; Zbl 1452.55005)
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Kanazawa, Tomoyo; Yoshioka, Akira

An \(S^1\)-reduction of non-formal star product. (English) Zbl 1318.53103

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima. 162-172 (2014).
Reviewer: Angela Gammella-Mathieu (Metz)
MSC:  53D55 53D18
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\textit{T. Kanazawa} and \textit{A. Yoshioka}, in: Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7--12, 2013. Sofia: Avangard Prima. 162--172 (2014; Zbl 1318.53103)
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Contreras, Iván

Models for formal groupoids. (English) Zbl 1296.81040

Cardona, Alexander (ed.) et al., Geometric and topological methods for quantum field theory. Papers based on the presentations at the 6th summer school, Villa de Leyva, Colombia, July 6–23, 2009. Cambridge: Cambridge University Press (ISBN 978-1-107-02683-4/hbk; 978-1-139-20864-2/ebook). 322-339 (2013).
Reviewer: Benjamin Cahen (Metz)
MSC:  81S10 53D55 53D17
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\textit{I. Contreras}, in: Geometric and topological methods for quantum field theory. Papers based on the presentations at the 6th summer school, Villa de Leyva, Colombia, July 6--23, 2009. Cambridge: Cambridge University Press. 322--339 (2013; Zbl 1296.81040)
Terilla, John

Quantizing deformation theory. (English) Zbl 1206.14013

Abbaspour, Hossein (ed.) et al., Deformation spaces. Perspectives on algebro-geometric moduli. Including papers from the workshops held at the Max-Planck-Institut für Mathematik, Bonn, Germany, July 2007 and August 2008. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-1271-1/hbk; 978-3-8348-9680-3/ebook). Aspects of Mathematics E40, 135-141 (2010).
MSC:  14B12 14D15 53D55 18D50
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\textit{J. Terilla}, in: Deformation spaces. Perspectives on algebro-geometric moduli. Including papers from the workshops held at the Max-Planck-Institut für Mathematik, Bonn, Germany, July 2007 and August 2008. Wiesbaden: Vieweg+Teubner. 135--141 (2010; Zbl 1206.14013)
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris

Deformations of gerbes on smooth manifolds. (English) Zbl 1157.53051

Cortiñas, Guillermo (ed.) et al., \(K\)-theory and noncommutative geometry. Proceedings of the ICM 2006 satellite conference, Valladolid, Spain, August 31–September 6, 2006. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-060-9/hbk). EMS Series of Congress Reports, 349-392 (2008).
Reviewer: Angela Gammella-Mathieu (Metz)
MSC:  53D55 53D10
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\textit{P. Bressler} et al., in: \(K\)-theory and noncommutative geometry. Proceedings of the ICM 2006 satellite conference, Valladolid, Spain, August 31--September 6, 2006. Zürich: European Mathematical Society (EMS). 349--392 (2008; Zbl 1157.53051)
Full Text: arXiv
Hirshfeld, Allen C.

Deformation quantization in quantum mechanics and quantum field theory. (English) Zbl 1039.53104

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–15, 2002. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-4-1/pbk). 11-41 (2003).
Reviewer: Janusz Grabowski (Warszawa)
MSC:  53D55 81T70
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\textit{A. C. Hirshfeld}, in: Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6--15, 2002. Sofia: Coral Press Scientific Publishing. 11--41 (2003; Zbl 1039.53104)
Schlichenmaier, Martin

Deformation quantization of compact Kähler manifolds by Berezin-Toeplitz quantization. (English) Zbl 1028.53085

Dito, Giuseppe (ed.) et al., Conférence Moshé Flato 1999: Quantization, deformations, and symmetries, Dijon, France, September 5-8, 1999. Volume II. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 22, 289-306 (2000).
Reviewer: Sergey M.Ivashkovich (Villeneuve d’Ascq)
MSC:  53D55 81S10 53C55 32Q15
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\textit{M. Schlichenmaier}, Math. Phys. Stud. 22, 289--306 (2000; Zbl 1028.53085)
Full Text: arXiv
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira

Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. (English) Zbl 0987.53036

Dito, Giuseppe (ed.) et al., Conférence Moshé Flato 1999: Quantization, deformations, and symmetries, Dijon, France, September 5-8, 1999. Volume II. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 22, 233-245 (2000).
MSC:  53D55 81S10
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\textit{H. Omori} et al., Math. Phys. Stud. 22, 233--245 (2000; Zbl 0987.53036)
Reshetikhin, N.; Takhtajan, L. A.

Deformation quantization of Kähler manifolds. (English) Zbl 1003.53061

Semenov-Tian-Shansky, Michael (ed.), L. D. Faddeev’s seminar on mathematical physics. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 201, 257-276 (2000).
Reviewer: Martin Schlichenmaier (Mannheim)
MSC:  53D55 53C55 53D50
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\textit{N. Reshetikhin} and \textit{L. A. Takhtajan}, Transl., Ser. 2, Am. Math. Soc. 201, 257--276 (2000; Zbl 1003.53061)
Full Text: arXiv
Weinstein, Alan; Xu, Ping

Hochschild cohomology and characteristic classes for star-products. (English) Zbl 0956.53055

Khovanskij, A. (ed.) et al., Geometry of differential equations. Dedicated to V. I. Arnold on the occasion of his 60th birthday. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 186(39), 177-194 (1998).
MSC:  53D55 57R20 19D55 22A22
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\textit{A. Weinstein} and \textit{P. Xu}, Transl., Ser. 2, Am. Math. Soc. 186, 177--194 (1998; Zbl 0956.53055)
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