Kraft, Andreas; Schnitzer, Jonas The homotopy class of twisted \(L_\infty\)-morphisms. (English) Zbl 07860687 Homology Homotopy Appl. 26, No. 1, 201-227 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53D55 17B55 17B70 16W60 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baranovsky, Vladimir Chern classes of quantizable coisotropic bundles. (English) Zbl 07828313 J. Noncommut. Geom. 18, No. 1, 37-59 (2024). Reviewer: Albert Sheu (Lawrence) MSC: 53D55 81S10 14D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Siyuan; Bai, Chengming; Guo, Li Post-Poisson algebras and Poisson Yang-Baxter equation via bimodule algebra deformations. arXiv:2404.11232 Preprint, arXiv:2404.11232 [math.QA] (2024). MSC: 13D10 16W60 17B38 17B63 53D55 13N15 × Cite Format Result Cite Full Text: arXiv OA License
Basile, Thomas; Grigoriev, Maxim; Skvortsov, Evgeny Covariant action for conformal higher spin gravity. (English) Zbl 1531.81114 J. Phys. A, Math. Theor. 56, No. 38, Article ID 385402, 43 p. (2023). MSC: 81R25 81R20 83D05 81T11 81S20 14D15 22E70 81T40 81T45 37E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chtioui, Taoufik; Mabrouk, Sami; Makhlouf, Abdenacer Deformations and extensions of BiHom-alternative algebras. (English) Zbl 1537.17054 Int. Electron. J. Algebra 34, 159-181 (2023). MSC: 17D30 17D05 17D15 14F10 06B15 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Esposito, Chiara; Kraft, Andreas; Schnitzer, Jonas The strong homotopy structure of BRST reduction. (English) Zbl 1522.53080 Pac. J. Math. 325, No. 1, 47-83 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Esposito, Chiara; Kraft, Andreas; Schnitzer, Jonas The strong homotopy structure of Poisson reduction. (English) Zbl 1510.53098 J. Noncommut. Geom. 16, No. 3, 927-966 (2022). MSC: 53D20 17B55 16W60 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bursztyn, Henrique; Ortiz, Inocencio; Waldmann, Stefan Morita equivalence of formal Poisson structures. (English) Zbl 1507.53077 Int. Math. Res. Not. 2022, No. 18, 13703-13752 (2022). Reviewer: Zhuo Chen (Beijing) MSC: 53D17 53D50 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karabegov, Alexander An algebra of distributions related to a star product with separation of variables. (English) Zbl 1496.53094 J. Geom. Phys. 178, Article ID 104533, 16 p. (2022). MSC: 53D55 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meljanac, Stjepan; Štrajn, Rina Deformed quantum phase spaces, realizations, star products and twists. (English) Zbl 1489.81041 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 022, 20 p. (2022). MSC: 81R60 14D15 53D55 81R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karabegov, Alexander Formal oscillatory distributions. (English) Zbl 1523.46035 Asymptotic Anal. 126, No. 1-2, 45-63 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 46F10 42B20 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corradino, Jesse On the geometric interpretation of certain vertex algebras and their modules. (English) Zbl 1523.17057 Adamović, Dražen (ed.) et al., Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 768, 201-219 (2021). Reviewer: Xuanzhong Dai (Kyōto) MSC: 17B69 53D55 17B68 × Cite Format Result Cite Review PDF Full Text: DOI
Moshayedi, Nima; Musio, Fabio Computation of Kontsevich weights of connection and curvature graphs for symplectic Poisson structures. (English) Zbl 1497.53137 Adv. Theor. Math. Phys. 25, No. 5, 1325-1365 (2021). Reviewer: Gabriele Rembado (Bonn) MSC: 53D55 53D17 18D70 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schmitt, Philipp Strict quantization of coadjoint orbits. (English) Zbl 1491.53094 J. Noncommut. Geom. 15, No. 4, 1181-1249 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 53D55 17B08 32Q28 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiore, Gaetano; Weber, Thomas Twisted submanifolds of \(\mathbb{R}^n\). (English) Zbl 1478.81022 Lett. Math. Phys. 111, No. 3, Paper No. 76, 52 p. (2021). Reviewer: Maurice de Gosson (Wien) MSC: 81S10 53D55 81R60 16T05 14D21 14D15 83C65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Sharapov, Alexey A.; Skvortsov, Evgeny D. Cup product on \(A_\infty\)-cohomology and deformations. (English) Zbl 1492.16029 J. Noncommut. Geom. 15, No. 1, 223-240 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 16S80 16E40 17A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bao, Yan-Hong; Ye, Yu Cohomology structure for a Poisson algebra. II. (English) Zbl 1478.17022 Sci. China, Math. 64, No. 5, 903-920 (2021). MSC: 17B63 17B56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschieri, Paolo; Landi, Giovanni; Pagani, Chiara The gauge group of a noncommutative principal bundle and twist deformations. (English) Zbl 1509.81530 J. Noncommut. Geom. 14, No. 4, 1501-1559 (2020). MSC: 81R60 16T05 81R50 17B37 81S10 53D55 14D21 14D15 55R91 81T13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barmeier, Severin; Frégier, Yaël Deformation-obstruction theory for diagrams of algebras and applications to geometry. (English) Zbl 1479.16028 J. Noncommut. Geom. 14, No. 3, 1019-1047 (2020). MSC: 16S80 14D15 13D10 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rembado, Gabriele Symmetries of the simply-laced quantum connections and quantisation of quiver varieties. (English) Zbl 1456.81272 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 103, 44 p. (2020). MSC: 81S10 53D55 81R12 81Q10 14D15 16G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Benjamin Formal deformations and principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) and \(\mathrm{SL}(2,\mathbb{C})\). (English) Zbl 1524.22020 Czech. Math. J. 70, No. 4, 935-951 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E46 17B10 17B20 17B56 53D55 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cutimanco, Miguel; Shramchenko, Vasilisa Explicit examples of Hurwitz Frobenius manifolds in genus one. (English) Zbl 1434.53094 J. Math. Phys. 61, No. 1, 013501, 20 p. (2020). MSC: 53D45 14D15 14H52 14H15 83E30 83C45 × Cite Format Result Cite Review PDF Full Text: DOI
Voronov, Alexander A. Quantizing deformation theory. II. (English) Zbl 1436.14026 Pure Appl. Math. Q. 16, No. 1, 125-152 (2020). Reviewer: Simon Felten (Mainz) MSC: 14D15 16E45 53D55 18M85 14A22 81T70 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tosiek, J.; Dobrski, M. Formal series of generalized functions and their application to deformation quantization. (English) Zbl 1427.81060 J. Math. Phys. 60, No. 10, 102106, 17 p. (2019). MSC: 81S10 53D55 16W60 40A30 30G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moon, Sung Pil Stochastic quantization and holographic Wilsonian renormalization group of free massive fermion. (English) Zbl 1391.81195 Int. J. Mod. Phys. A 33, No. 16, Article ID 1850091, 17 p. (2018). MSC: 81T70 81S20 81T17 14D15 81S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gwilliam, Owen; Haugseng, Rune Linear Batalin-Vilkovisky quantization as a functor of \(\infty \)-categories. (English) Zbl 1456.18018 Sel. Math., New Ser. 24, No. 2, 1247-1313 (2018). Reviewer: Julian Holstein (Hamburg) MSC: 18N40 18N60 18M75 14A30 53D55 81T70 14D15 17B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Calaque, Damien; Pantev, Tony; Toën, Bertrand; Vaquié, Michel; Vezzosi, Gabriele Shifted Poisson structures and deformation quantization. (English) Zbl 1428.14006 J. Topol. 10, No. 2, 483-584 (2017). MSC: 14A20 14D15 14F08 18G80 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Meljanac, Stjepan; Meljanac, Daniel; Pachoł, Anna; Pikutić, Danijel Remarks on simple interpolation between Jordanian twists. (English) Zbl 1370.81094 J. Phys. A, Math. Theor. 50, No. 26, Article ID 265201, 11 p. (2017). MSC: 81R60 81R25 83A05 53D55 16T05 14D21 14D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wahl, Nathalie Universal operations in Hochschild homology. (English) Zbl 1362.16010 J. Reine Angew. Math. 720, 81-127 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 16E40 16E45 18G60 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karabegov, Alexander On the phase form of a deformation quantization with separation of variables. (English) Zbl 1337.53102 J. Geom. Phys. 104, 30-38 (2016). MSC: 53D55 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andersen, Jørgen Ellegaard; Masulli, Paolo; Schätz, Florian Formal connections for families of star products. (English) Zbl 1337.53101 Commun. Math. Phys. 342, No. 2, 739-768 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baranovsky, Vladimir; Ginzburg, Victor; Kaledin, Dmitry; Pecharich, Jeremy Quantization of line bundles on Lagrangian subvarieties. (English) Zbl 1333.53127 Sel. Math., New Ser. 22, No. 1, 1-25 (2016). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 14D21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bieliavsky, Pierre (ed.); Esposito, Chiara (ed.); Nest, Ryszard (ed.); Waldmann, Stefan (ed.) Mini-workshop: Deformation quantization: between formal to strict. Abstracts from the mini-workshop held February 15–21, 2015. (English) Zbl 1349.00065 Oberwolfach Rep. 12, No. 1, 571-595 (2015). MSC: 00B05 00B25 53-06 14-06 53D55 14D15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Mylonas, Dionysios; Schupp, Peter; Szabo, Richard J. Non-geometric fluxes, quasi-Hopf twist deformations, and nonassociative quantum mechanics. (English) Zbl 1330.81135 J. Math. Phys. 55, No. 12, 122301, 30 p. (2014). MSC: 81S10 53D55 81T30 14D21 14D15 16T05 58A15 22E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF
Baranovsky, Vladimir; Ginzburg, Victor; Pecharich, Jeremy Deformation of line bundles on coisotropic subvarieties. (English) Zbl 1276.14025 Q. J. Math. 63, No. 3, 525-537 (2012). Reviewer: Javier Martinez (Madrid) MSC: 14F05 53D55 53D17 14D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meljanac, S.; Samsarov, A.; Trampetić, J.; Wohlgenannt, M. Scalar field propagation in the \(\phi^{4}\kappa\)-Minkowski model. (English) Zbl 1306.81305 J. High Energy Phys. 2011, No. 12, Paper No. 010, 23 p. (2011). MSC: 81T75 83E15 81T40 81T15 53D55 14D15 35J08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colombo, Nicolò; Sundell, Per Twistor space observables and quasi-amplitudes in 4D higher-spin gravity. (English) Zbl 1306.83061 J. High Energy Phys. 2011, No. 11, Paper No. 042, 47 p. (2011). MSC: 83D05 83C20 81T13 14D21 83C60 83C65 53D05 14D15 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karabegov, Alexander Infinitesimal deformations of a formal symplectic groupoid. (English) Zbl 1236.53071 Lett. Math. Phys. 97, No. 3, 279-301 (2011). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D17 53B35 70H09 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF
Ionescu, Lucian M. From Lie theory to deformation theory and quantization. (English) Zbl 1204.53079 Int. J. Pure Appl. Math. 58, No. 2, 209-230 (2010). Reviewer: Béchir Dali (Riyadh) MSC: 53D55 14D15 46L65 × Cite Format Result Cite Review PDF Full Text: arXiv
Hamilton, Alastair; Lazarev, Andrey Characteristic classes of \(A_\infty\)-algebras. (English) Zbl 1225.17023 J. Homotopy Relat. Struct. 3, No. 1, 65-111 (2008). MSC: 17B56 57R56 53D55 14B20 17B66 81Q30 81T45 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
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 × Cite Format Result Cite Review PDF Full Text: arXiv
Waldmann, Stefan Locally noncommutative space-times. (English) Zbl 1146.53071 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, 301-311 (2008). MSC: 53D50 53C50 53D17 58B34 × Cite Format Result Cite Review PDF
Yekutieli, Amnon Corrigendum to: “Deformation quantization in algebraic geometry”. (English) Zbl 1131.53313 Adv. Math. 217, No. 6, 2897-2906 (2008). MSC: 53D55 14D15 13D10 16S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doubek, M.; Markl, M.; Zima, P. Deformation theory (lecture notes). (English) Zbl 1199.13015 Arch. Math., Brno 43, No. 5, 333-371 (2007). MSC: 13D10 14D15 53D55 46L65 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML EMIS
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira Orderings and non-formal deformation quantization. (English) Zbl 1136.53064 Lett. Math. Phys. 82, No. 2-3, 153-175 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 46L65 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Palamodov, Victor P. Associative deformations of complex analytic spaces. (English) Zbl 1154.53325 Lett. Math. Phys. 82, No. 2-3, 191-217 (2007). MSC: 53D55 16S80 81T70 13D10 14D15 32C99 × Cite Format Result Cite Review PDF Full Text: DOI
Karabegov, Alexander V. A formal model of Berezin-Toeplitz quantization. (English) Zbl 1134.53048 Commun. Math. Phys. 274, No. 3, 659-689 (2007). MSC: 53D55 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pinczon, G.; Ushirobira, R Supertrace and superquadratic Lie structure on the Weyl algebra, and applications to formal inverse Weyl transform. (English) Zbl 1101.53060 Lett. Math. Phys. 74, No. 3, 263-291 (2005). MSC: 53D55 17B05 17B10 17B20 17B60 17B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yekutieli, Amnon Deformation quantization in algebraic geometry. (English) Zbl 1085.53081 Adv. Math. 198, No. 1, 383-432 (2005); corrigendum ibid. 217, No. 6, 2897-2906 (2008). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 14D15 13D10 16S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karabegov, Alexander V. Formal symplectic groupoid of a deformation quantization. (English) Zbl 1087.53079 Commun. Math. Phys. 258, No. 1, 223-256 (2005). Reviewer: Albert Sheu (Lawrence) MSC: 53D55 53D17 81S10 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bursztyn, Henrique; Waldmann, Stefan Hermitian star products are completely positive deformations. (English) Zbl 1081.53078 Lett. Math. Phys. 72, No. 2, 143-152 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezrukavnikov, R.; Kaledin, D. Fedosov quantization in algebraic context. (English) Zbl 1074.14014 Mosc. Math. J. 4, No. 3, 559-592 (2004). Reviewer: Stanislaw Janeczko (Warszawa) MSC: 14F05 53B50 53D55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Fioresi, R.; Lledó, M. A. On algebraic supergroups, coadjoint orbits and their deformations. (English) Zbl 1069.17007 Commun. Math. Phys. 245, No. 1, 177-200 (2004). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B37 14L17 14M30 16W55 53D55 58A50 × Cite Format Result Cite Review PDF Full Text: DOI 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 × Cite Format Result Cite Review PDF
Hinich, Vladimir Tamarkin’s proof of Kontsevich formality theorem. (English) Zbl 1081.16014 Forum Math. 15, No. 4, 591-614 (2003). Reviewer: Thierry Dana-Picard (Jerusalem) MSC: 16E45 17B55 16S80 18D50 58B34 16E40 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Przanowski, M.; Turrubiates, F. J. Uncertainty relations in deformation quantization. (English) Zbl 1052.81053 J. Phys. A, Math. Gen. 35, No. 49, 10643-10661 (2002). Reviewer: Weiping Li (Stillwater) MSC: 81S10 12J15 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leichtnam, Eric; Nest, Ryszard; Tsygan, Boris Local formula for the index of a Fourier integral operator. (English) Zbl 1030.58015 J. Differ. Geom. 59, No. 2, 269-300 (2001). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 53D55 58J40 35S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bieliavsky, Pierre; Massar, Marc Oscillatory integral formulae for left-invariant star products on a class of Lie groups. (English) Zbl 0998.53059 Lett. Math. Phys. 58, No. 2, 115-128 (2001). Reviewer: R.Gelca (Lubboc) MSC: 53D55 81S10 22E27 46T12 × Cite Format Result Cite Review PDF Full Text: DOI
Bursztyn, Henrique; Waldmann, Stefan Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. (English) Zbl 1039.46052 J. Geom. Phys. 37, No. 4, 307-364 (2001). Reviewer: Jan Hamhalter (Praha) MSC: 46L55 53D55 16D90 22D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manchon, Dominique Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization. (English) Zbl 0981.53091 Lett. Math. Phys. 52, No. 4, 301-310 (2000). MSC: 53D55 16S80 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: arXiv
Bonneau, Philippe Classifications of star products and deformations of Poisson brackets. (English) Zbl 0981.53089 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 25-29 (2000). MSC: 53D55 81S10 × Cite Format Result Cite Review PDF Full Text: EuDML Link
Bordemann, Martin; Römer, Hartmann; Waldmann, Stefan KMS states and star product quantization. (English) Zbl 0964.81045 Rep. Math. Phys. 44, No. 1-2, 45-52 (1999). MSC: 81S10 53D55 × Cite Format Result Cite Review PDF Full Text: DOI
Shklyarov, D.; Sinel’shchikov, S.; Vaksman, L. A \(q\)-analogue of the Berezin quantization method. (English) Zbl 0990.17010 Lett. Math. Phys. 49, No. 3, 253-261 (1999). Reviewer: Tomasz Brzeziński (Swansea) MSC: 17B37 81R50 81S99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications. (English) Zbl 0989.53060 J. Geom. Phys. 29, No. 3, 199-234 (1999). MSC: 53D55 81S10 37J05 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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