Cattaneo, Alberto S.; Moshayedi, Nima Introduction to the BV-BFV formalism. (English) Zbl 1453.81056 Rev. Math. Phys. 32, No. 9, Article ID 2030006, 67 p. (2020). MSC: 81T70 81T20 53D55 58A50 81Q30 PDF BibTeX XML Cite \textit{A. S. Cattaneo} and \textit{N. Moshayedi}, Rev. Math. Phys. 32, No. 9, Article ID 2030006, 67 p. (2020; Zbl 1453.81056) Full Text: DOI arXiv OpenURL
Sharygin, Georgiy I. Deformation quantization of commutative families and vector fields. (English) Zbl 1442.81039 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 100-120 (2019). MSC: 81S10 53D55 53D17 17B81 53D40 58H15 PDF BibTeX XML Cite \textit{G. I. Sharygin}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 100--120 (2019; Zbl 1442.81039) Full Text: DOI OpenURL
Basdouri, Khaled; Omri, Salem Cohomology and deformation of \(\mathfrak{aff}(1 | 1)\) acting on differential operators. (English) Zbl 1390.17028 Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850072, 15 p. (2018). MSC: 17B56 53D55 58H15 81S10 46S60 35S05 PDF BibTeX XML Cite \textit{K. Basdouri} and \textit{S. Omri}, Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850072, 15 p. (2018; Zbl 1390.17028) Full Text: DOI OpenURL
Landsman, N. P. Klaas Quantization and superselection sectors. III: Multiply connected spaces and indistinguishable particles. (English) Zbl 1351.81064 Rev. Math. Phys. 28, No. 9, Article ID 1650019, 28 p. (2016). MSC: 81S10 53D55 81Q35 81R15 81S05 81T70 81V70 32G08 55P91 46L05 46L60 PDF BibTeX XML Cite \textit{N. P. K. Landsman}, Rev. Math. Phys. 28, No. 9, Article ID 1650019, 28 p. (2016; Zbl 1351.81064) Full Text: DOI OpenURL
Błaszak, Maciej; Domański, Ziemowit Natural star-products on symplectic manifolds and related quantum mechanical operators. (English) Zbl 1343.81120 Ann. Phys. 344, 29-42 (2014). MSC: 81Q70 53D55 81Q35 81S10 53Z05 81T05 PDF BibTeX XML Cite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 344, 29--42 (2014; Zbl 1343.81120) Full Text: DOI arXiv OpenURL
Voronov, Theodore Obituary: A word about Boris Vasil’evich Fedosov. (English) Zbl 1306.01021 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, ix-x (2013). MSC: 01A70 19E99 19K56 46L80 58J20 53D55 PDF BibTeX XML Cite \textit{T. Voronov}, in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. ix-x (2013; Zbl 1306.01021) OpenURL
Guedes, Carlos; Oriti, Daniele; Raasakka, Matti Quantization maps, algebra representation, and non-commutative Fourier transform for Lie groups. (English) Zbl 1296.81041 J. Math. Phys. 54, No. 8, 083508, 31 p. (2013). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 81Q35 53D55 PDF BibTeX XML Cite \textit{C. Guedes} et al., J. Math. Phys. 54, No. 8, 083508, 31 p. (2013; Zbl 1296.81041) Full Text: DOI arXiv OpenURL
Mesa, Camilo Getzler symbol calculus and deformation quantization. (English) Zbl 1280.81079 J. Geom. Phys. 73, 235-242 (2013). MSC: 81S10 53D55 58J20 81Q35 35S05 PDF BibTeX XML Cite \textit{C. Mesa}, J. Geom. Phys. 73, 235--242 (2013; Zbl 1280.81079) Full Text: DOI arXiv OpenURL
Cagnache, Eric; D’Andrea, Francesco; Martinetti, Pierre; Wallet, Jean-Christophe The spectral distance in the Moyal plane. (English) Zbl 1226.81095 J. Geom. Phys. 61, No. 10, 1881-1897 (2011). MSC: 81R60 58J50 53D55 81S10 PDF BibTeX XML Cite \textit{E. Cagnache} et al., J. Geom. Phys. 61, No. 10, 1881--1897 (2011; Zbl 1226.81095) Full Text: DOI arXiv OpenURL
Batakidis, Panagiotis Deformation quantization technics for Lie theory problems. An application of Kontsevich’s deformation quantization technics to solve problems on invariant differential operators on Lie groups. (English) Zbl 1217.53001 Saarbrücken: Éditions Universitaires Européennes; Paris: Univ. Paris 7 (Diss. 2009) (ISBN 978-6-131-53712-7). 204 p. (2010). Reviewer: Benjamin Cahen (Metz) MSC: 53-02 53D55 17B30 22E30 43A80 53D15 53D45 53D50 53D17 PDF BibTeX XML Cite \textit{P. Batakidis}, Deformation quantization technics for Lie theory problems. An application of Kontsevich's deformation quantization technics to solve problems on invariant differential operators on Lie groups. Saarbrücken: Éditions Universitaires Européennes; Paris: Univ. Paris 7 (Diss. 2009) (2010; Zbl 1217.53001) OpenURL
Gutt, S. Deformation quantisation and connections. (English) Zbl 1194.53068 Hobbs, Catherine (ed.) et al., European women in mathematics. Proceedings of the 13th general meeting, EWM, Cambridge, UK, September 3–6, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-4277-67-9/hbk). 3-32 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 81T20 53D17 PDF BibTeX XML Cite \textit{S. Gutt}, in: European women in mathematics. Proceedings of the 13th general meeting, EWM, Cambridge, UK, September 3--6, 2007. Hackensack, NJ: World Scientific. 3--32 (2010; Zbl 1194.53068) Full Text: DOI Link OpenURL
Cahen, Michel; Gutt, Simone; Richard, Nicolas; Schwachhöfer, Lorenz Extrinsic symplectic symmetric spaces. (English) Zbl 1169.53340 J. Geom. Phys. 59, No. 4, 409-425 (2009). MSC: 53D05 57S25 53D55 PDF BibTeX XML Cite \textit{M. Cahen} et al., J. Geom. Phys. 59, No. 4, 409--425 (2009; Zbl 1169.53340) Full Text: DOI arXiv OpenURL
Bering, Klaus Three natural generalizations of Fedosov quantization. (English) Zbl 1162.53323 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 036, 21 p. (2009). MSC: 53D05 53D55 58A15 58A50 58C50 58Z05 PDF BibTeX XML Cite \textit{K. Bering}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 036, 21 p. (2009; Zbl 1162.53323) Full Text: DOI arXiv EuDML OpenURL
Pflaum, Markus J. From Weyl quantization to modern algebraic index theory. (English) Zbl 1163.53059 Tent, Katrin (ed.), Groups and analysis. The legacy of Hermann Weyl. Based on the conference in honour of Hermann Weyl, Bielefeld, Germany, September 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71788-5/pbk). London Mathematical Society Lecture Note Series 354, 84-99 (2008). Reviewer: Ivailo Mladenov (Sofia) MSC: 53D55 58J22 81S10 58J40 58J20 PDF BibTeX XML Cite \textit{M. J. Pflaum}, Lond. Math. Soc. Lect. Note Ser. 354, 84--99 (2008; Zbl 1163.53059) Full Text: DOI OpenURL
Binz, Ernst; Honegger, Reinhard; Rieckers, Alfred Infinite dimensional Heisenberg group algebra and field-theoretic strict deformation quantization. (English) Zbl 1151.81025 Int. J. Pure Appl. Math. 38, No. 1, 43-78 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 46L65 81T05 81R15 53D55 43A80 58B25 81T70 PDF BibTeX XML Cite \textit{E. Binz} et al., Int. J. Pure Appl. Math. 38, No. 1, 43--78 (2007; Zbl 1151.81025) OpenURL
Pflaum, M. J.; Posthuma, H. B.; Tang, X. An algebraic index theorem for orbifolds. (English) Zbl 1119.58014 Adv. Math. 210, No. 1, 83-121 (2007). Reviewer: Peter Haskell (Blacksburg) MSC: 58J22 53D55 81S10 16E40 46L87 19K56 58H05 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Adv. Math. 210, No. 1, 83--121 (2007; Zbl 1119.58014) Full Text: DOI arXiv OpenURL
Dito, Giuseppe Moyal star-product on a Hilbert space. (English) Zbl 1133.53310 García-Compeán, Hugo (ed.) et al., Topics in mathematical physics, general relativity and cosmology in honor of Jerzy Plebański. Proceedings of the 2002 international conference, Cinvestay, Mexico City, Mexico, September 17–20, 2002. Hackensack, NJ: World Scientific (ISBN 981-270-047-1/hbk). 137-146 (2006). MSC: 53D55 46L65 58B20 81S10 PDF BibTeX XML Cite \textit{G. Dito}, in: Topics in mathematical physics, general relativity and cosmology in honor of Jerzy Plebański. Proceedings of the 2002 international conference, Cinvestay, Mexico City, Mexico, September 17--20, 2002. Hackensack, NJ: World Scientific. 137--146 (2006; Zbl 1133.53310) OpenURL
Gracia-Saz, Alfonso The symbol of a function of a pseudodifferential operator. (English) Zbl 1091.53062 Ann. Inst. Fourier 55, No. 7, 2257-2284 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 81S10 47G30 58J40 PDF BibTeX XML Cite \textit{A. Gracia-Saz}, Ann. Inst. Fourier 55, No. 7, 2257--2284 (2005; Zbl 1091.53062) Full Text: DOI arXiv Numdam EuDML OpenURL
Batubenge, Augustin; Mabizela, Sizwe; Temo Beko, Ferdinand Equivalence of star-products on symplectic manifolds. (English) Zbl 1068.53059 Topol. Proc. 27, No. 1, 15-25 (2003). MSC: 53D55 53D05 57R19 PDF BibTeX XML Cite \textit{A. Batubenge} et al., Topol. Proc. 27, No. 1, 15--25 (2003; Zbl 1068.53059) OpenURL
Bressler, P.; Nest, R.; Tsygan, B. Riemann-Roch theorems via deformation quantization. I. (English) Zbl 1021.53064 Adv. Math. 167, No. 1, 1-25 (2002). Reviewer: Sergey M.Ivashkovich (Villeneuve d’Ascq) MSC: 53D55 58J15 58J20 32C38 PDF BibTeX XML Cite \textit{P. Bressler} et al., Adv. Math. 167, No. 1, 1--25 (2002; Zbl 1021.53064) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{P. Bieliavsky} and \textit{M. Massar}, Lett. Math. Phys. 58, No. 2, 115--128 (2001; Zbl 0998.53059) Full Text: DOI OpenURL
Karabegov, Alexander V.; Schlichenmaier, Martin Almost-Kähler deformation quantization. (English) Zbl 1044.53061 Lett. Math. Phys. 57, No. 2, 135-148 (2001). Reviewer: Wojciech Domitrz (Warszawa) MSC: 53D55 81S10 53C15 53D50 53D15 PDF BibTeX XML Cite \textit{A. V. Karabegov} and \textit{M. Schlichenmaier}, Lett. Math. Phys. 57, No. 2, 135--148 (2001; Zbl 1044.53061) Full Text: DOI arXiv OpenURL
Bursztyn, Henrique; Waldmann, Stefan On positive deformations of *-algebras. (English) Zbl 0979.53098 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, 69-80 (2000). MSC: 53D55 PDF BibTeX XML Cite \textit{H. Bursztyn} and \textit{S. Waldmann}, Math. Phys. Stud. 22, 69--80 (2000; Zbl 0979.53098) Full Text: arXiv OpenURL
Bordemann, Martin The deformation quantization of certain super-Poisson brackets and BRST cohomology. (English) Zbl 1004.53067 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, 45-68 (2000). Reviewer: A.Frydryszak (Wrocław) MSC: 53D55 81T70 58C50 81Q60 81S99 PDF BibTeX XML Cite \textit{M. Bordemann}, Math. Phys. Stud. 22, 45--68 (2000; Zbl 1004.53067) Full Text: arXiv OpenURL
Farkas, Daniel R. A ring-theorist’s description of Fedosov quantization. (English) Zbl 0989.53058 Lett. Math. Phys. 51, No. 3, 161-177 (2000). Reviewer: Albert Sheu (Lawrence) MSC: 53D55 17B63 58H15 PDF BibTeX XML Cite \textit{D. R. Farkas}, Lett. Math. Phys. 51, No. 3, 161--177 (2000; Zbl 0989.53058) Full Text: DOI arXiv OpenURL
Halbout, Gilles Comparison of deformations due a De Wilde-Lecomte and Fédosov. (Comparaison des déformations selon De Wilde-Lecomte et Fédosov.) (French) Zbl 0983.53067 Expo. Math. 17, No. 3, 193-205 (1999). MSC: 53D55 58H15 17B66 PDF BibTeX XML Cite \textit{G. Halbout}, Expo. Math. 17, No. 3, 193--205 (1999; Zbl 0983.53067) OpenURL
Gutt, Simone; Rawnsley, John Equivalence of star products on a symplectic manifold; an introduction to Deligne’s Čech cohomology classes. (English) Zbl 1024.53057 J. Geom. Phys. 29, No. 4, 347-392 (1999). MSC: 53D55 53D05 58H15 PDF BibTeX XML Cite \textit{S. Gutt} and \textit{J. Rawnsley}, J. Geom. Phys. 29, No. 4, 347--392 (1999; Zbl 1024.53057) Full Text: DOI OpenURL
Nest, Ryszard; Tsygan, Boris Algebraic index theorem. (English) Zbl 0887.58050 Commun. Math. Phys. 172, No. 2, 223-262 (1995). MSC: 58J20 53D55 PDF BibTeX XML Cite \textit{R. Nest} and \textit{B. Tsygan}, Commun. Math. Phys. 172, No. 2, 223--262 (1995; Zbl 0887.58050) Full Text: DOI OpenURL
De Wilde, Marc Existence de déformations formelles de l’algèbre de Poisson et de star-produits sur une variété symplectique. (Existence of formal deformations of the Poisson-algebra and star products on a symplectic manifold). (French) Zbl 0662.53028 Physique quantique et géométrie, Colloq. Géom. Phys., Paris/Fr. 1986, Trav. Cours 32, 195-203 (1988). Reviewer: A.Verona MSC: 53C15 37J99 17B56 17B65 58H15 PDF BibTeX XML OpenURL
De Wilde, Marc Star-products on symplectic manifolds. (English) Zbl 0621.58015 Rend. Circ. Mat. Palermo, II. Ser. Suppl. 6, 307-312 (1984). Reviewer: Yu.E.Gliklikh MSC: 37J99 53C15 17B65 58H15 81Q99 PDF BibTeX XML Cite \textit{M. De Wilde}, Suppl. Rend. Circ. Mat. Palermo (2) 6, 307--312 (1984; Zbl 0621.58015) OpenURL
De Wilde, Marc; Lecomte, Pierre B. A. Star-products on cotangent bundles. (English) Zbl 0514.53031 Lett. Math. Phys. 7, 235-241 (1983). MSC: 53D55 53C15 58A05 17B65 PDF BibTeX XML Cite \textit{M. De Wilde} and \textit{P. B. A. Lecomte}, Lett. Math. Phys. 7, 235--241 (1983; Zbl 0514.53031) Full Text: DOI OpenURL
Basart, Henri; Lichnerowicz, Andre Déformations d’un star-produit sur une variété symplectique. (French) Zbl 0482.58037 C. R. Acad. Sci., Paris, Sér. I 293, 347-350 (1981). MSC: 58H15 37J99 53D50 16S80 PDF BibTeX XML Cite \textit{H. Basart} and \textit{A. Lichnerowicz}, C. R. Acad. Sci., Paris, Sér. I 293, 347--350 (1981; Zbl 0482.58037) OpenURL