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 PDFBibTeX XMLCite \textit{A. Karabegov}, Asymptotic Anal. 126, No. 1--2, 45--63 (2022; Zbl 1523.46035) Full Text: DOI arXiv
Leung, Naichung Conan; Yu, Shilin Equivariant deformation quantization and coadjoint orbit method. (English) Zbl 1510.22013 Duke Math. J. 170, No. 8, 1781-1850 (2021). Reviewer: Benjamin Cahen (Metz) MSC: 22E46 17B08 53D55 PDFBibTeX XMLCite \textit{N. C. Leung} and \textit{S. Yu}, Duke Math. J. 170, No. 8, 1781--1850 (2021; Zbl 1510.22013) Full Text: DOI arXiv
Gutt, Simone Group actions in deformation quantization. (English) Zbl 1469.53003 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 37-62 (2021). Reviewer: Béchir Dali (Bizerte) MSC: 53-02 53D55 53D20 PDFBibTeX XMLCite \textit{S. Gutt}, Banach Cent. Publ. 123, 37--62 (2021; Zbl 1469.53003) Full Text: DOI arXiv
Pflaum, Markus J.; Rudolph, Gerd; Schmidt, Matthias Deformation quantization and homological reduction of a lattice gauge model. (English) Zbl 1466.81046 Commun. Math. Phys. 382, No. 2, 1061-1109 (2021). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D55 20J05 81T25 81T13 81T18 81T70 46L05 46L10 81S30 PDFBibTeX XMLCite \textit{M. J. Pflaum} et al., Commun. Math. Phys. 382, No. 2, 1061--1109 (2021; Zbl 1466.81046) Full Text: DOI arXiv Link
Futaki, Akito; La Fuente-Gravy, Laurent Quantum moment map and obstructions to the existence of closed Fedosov star products. (English) Zbl 1468.53074 J. Geom. Phys. 163, Article ID 104118, 16 p. (2021). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D20 32Q15 53D05 PDFBibTeX XMLCite \textit{A. Futaki} and \textit{L. La Fuente-Gravy}, J. Geom. Phys. 163, Article ID 104118, 16 p. (2021; Zbl 1468.53074) Full Text: DOI arXiv
Esposito, Chiara; Kraft, Andreas; Waldmann, Stefan BRST reduction of quantum algebras with \(^*\)-involutions. (English) Zbl 1462.81114 Commun. Math. Phys. 378, No. 2, 1391-1416 (2020). Reviewer: Andrea Galasso (Taipei) MSC: 81S10 53D55 81T70 53D45 46K10 46L60 46L65 17B37 17B56 PDFBibTeX XMLCite \textit{C. Esposito} et al., Commun. Math. Phys. 378, No. 2, 1391--1416 (2020; Zbl 1462.81114) Full Text: DOI arXiv
Dippell, Marvin; Esposito, Chiara; Waldmann, Stefan Coisotropic triples, reduction and classical limit. (English) Zbl 1427.53105 Doc. Math. 24, 1811-1853 (2019). MSC: 53D55 53D20 16D90 PDFBibTeX XMLCite \textit{M. Dippell} et al., Doc. Math. 24, 1811--1853 (2019; Zbl 1427.53105) Full Text: DOI arXiv
Karabegov, Alexander A heat kernel proof of the index theorem for deformation quantization. (English) Zbl 1380.53104 Lett. Math. Phys. 107, No. 11, 2093-2145 (2017). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 19K56 58A50 35K08 PDFBibTeX XMLCite \textit{A. Karabegov}, Lett. Math. Phys. 107, No. 11, 2093--2145 (2017; Zbl 1380.53104) Full Text: DOI arXiv
Karabegov, Alexander Deformation quantization with separation of variables on a super-Kähler manifold. (English) Zbl 1359.53073 J. Geom. Phys. 114, 197-215 (2017). MSC: 53D55 58A50 PDFBibTeX XMLCite \textit{A. Karabegov}, J. Geom. Phys. 114, 197--215 (2017; Zbl 1359.53073) Full Text: DOI arXiv
La Fuente-Gravy, Laurent The group of Hamiltonian automorphisms of a star product. (English) Zbl 1413.53131 Math. Phys. Anal. Geom. 19, No. 3, Paper No. 17, 21 p. (2016). MSC: 53D55 22E65 57N20 PDFBibTeX XMLCite \textit{L. La Fuente-Gravy}, Math. Phys. Anal. Geom. 19, No. 3, Paper No. 17, 21 p. (2016; Zbl 1413.53131) Full Text: DOI arXiv
Reichert, Thorsten; Waldmann, Stefan Classification of equivariant star products on symplectic manifolds. (English) Zbl 1341.53123 Lett. Math. Phys. 106, No. 5, 675-692 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D05 PDFBibTeX XMLCite \textit{T. Reichert} and \textit{S. Waldmann}, Lett. Math. Phys. 106, No. 5, 675--692 (2016; Zbl 1341.53123) 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 PDFBibTeX XMLCite \textit{J. E. Andersen} et al., Commun. Math. Phys. 342, No. 2, 739--768 (2016; Zbl 1337.53101) Full Text: DOI arXiv
La Fuente-Gravy, Laurent Infinite dimensional moment map geometry and closed Fedosov’s star products. (English) Zbl 1346.53068 Ann. Global Anal. Geom. 49, No. 1, 1-22 (2016). Reviewer: Peter Hochs (Adelaide) MSC: 53D20 53C21 32Q15 53D55 PDFBibTeX XMLCite \textit{L. La Fuente-Gravy}, Ann. Global Anal. Geom. 49, No. 1, 1--22 (2016; Zbl 1346.53068) Full Text: DOI arXiv
Karabegov, Alexander Deformation quantization with separation of variables of an endomorphism bundle. (English) Zbl 1282.53078 J. Geom. Phys. 75, 55-70 (2014). Reviewer: Panagiotis Batakidis (State College) MSC: 53D55 81T18 PDFBibTeX XMLCite \textit{A. Karabegov}, J. Geom. Phys. 75, 55--70 (2014; Zbl 1282.53078) Full Text: DOI arXiv
Karabegov, Alexander On Gammelgaard’s formula for a star product with separation of variables. (English) Zbl 1271.53081 Commun. Math. Phys. 322, No. 1, 229-253 (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D17 PDFBibTeX XMLCite \textit{A. Karabegov}, Commun. Math. Phys. 322, No. 1, 229--253 (2013; Zbl 1271.53081) Full Text: DOI arXiv
Jansen, Stefan; Neumaier, Nikolai; Schaumann, Gregor; Waldmann, Stefan Classification of invariant star products up to equivariant Morita equivalence on symplectic manifolds. (English) Zbl 1251.53057 Lett. Math. Phys. 100, No. 2, 203-236 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 16D90 PDFBibTeX XMLCite \textit{S. Jansen} et al., Lett. Math. Phys. 100, No. 2, 203--236 (2012; Zbl 1251.53057) Full Text: DOI arXiv
Tosiek, Jaromir Compatible symplectic connections on a cotangent bundle and the Fedosov quantization. (English) Zbl 1314.81122 J. Math. Phys. 52, No. 2, 022107, 26 p. (2011). MSC: 81S10 53D50 53C07 81S30 PDFBibTeX XMLCite \textit{J. Tosiek}, J. Math. Phys. 52, No. 2, 022107, 26 p. (2011; Zbl 1314.81122) 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 PDFBibTeX XMLCite \textit{A. Karabegov}, Lett. Math. Phys. 97, No. 3, 279--301 (2011; Zbl 1236.53071) Full Text: DOI arXiv
Losev, Ivan 1-dimensional representations and parabolic induction for \(W\)-algebras. (English) Zbl 1287.17025 Adv. Math. 226, No. 6, 4841-4883 (2011). MSC: 17B35 17B10 53D55 PDFBibTeX XMLCite \textit{I. Losev}, Adv. Math. 226, No. 6, 4841--4883 (2011; Zbl 1287.17025) Full Text: DOI arXiv
Dolgushev, V. A.; Rubtsov, V. N. An algebraic index theorem for Poisson manifolds. (English) Zbl 1181.53072 J. Reine Angew. Math. 633, 77-113 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 PDFBibTeX XMLCite \textit{V. A. Dolgushev} and \textit{V. N. Rubtsov}, J. Reine Angew. Math. 633, 77--113 (2009; Zbl 1181.53072) Full Text: DOI arXiv
Carl, Michael Bohr-Sommerfeld star products. (English) Zbl 1155.53059 J. Geom. Phys. 58, No. 5, 670-681 (2008). Reviewer: Akira Asada (Takarazuka) MSC: 53D55 PDFBibTeX XMLCite \textit{M. Carl}, J. Geom. Phys. 58, No. 5, 670--681 (2008; Zbl 1155.53059) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. V. Karabegov}, Commun. Math. Phys. 274, No. 3, 659--689 (2007; Zbl 1134.53048) Full Text: DOI arXiv
Gutt, Simone Remarks on symplectic connections. (English) Zbl 1111.53069 Lett. Math. Phys. 78, No. 3, 307-328 (2006). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53D30 53D20 58J60 53C35 PDFBibTeX XMLCite \textit{S. Gutt}, Lett. Math. Phys. 78, No. 3, 307--328 (2006; Zbl 1111.53069) Full Text: DOI
Bieliavsky, Pierre; Cahen, Michel; Gutt, Simone; Rawnsley, John; Schwachhöfer, Lorenz Symplectic connections. (English) Zbl 1095.53052 Int. J. Geom. Methods Mod. Phys. 3, No. 3, 375-420 (2006). MSC: 53D05 53D55 PDFBibTeX XMLCite \textit{P. Bieliavsky} et al., Int. J. Geom. Methods Mod. Phys. 3, No. 3, 375--420 (2006; Zbl 1095.53052) Full Text: DOI arXiv
Jansen, Stefan; Waldmann, Stefan The \(H\)-covariant strong Picard groupoid. (English) Zbl 1108.53056 J. Pure Appl. Algebra 205, No. 3, 542-598 (2006). Reviewer: Angela Gammella (Creil) MSC: 53D55 81S10 16W10 16W30 16D90 17B63 PDFBibTeX XMLCite \textit{S. Jansen} and \textit{S. Waldmann}, J. Pure Appl. Algebra 205, No. 3, 542--598 (2006; Zbl 1108.53056) 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 PDFBibTeX XMLCite \textit{A. V. Karabegov}, Commun. Math. Phys. 258, No. 1, 223--256 (2005; Zbl 1087.53079) Full Text: DOI arXiv
Müller-Bahns, Michael F.; Neumaier, Nikolai Some remarks on \(\mathfrak g\)-variant Fedosov star products and quantum momentum mappings. (English) Zbl 1078.53100 J. Geom. Phys. 50, No. 1-4, 257-272 (2004). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D55 53D20 PDFBibTeX XMLCite \textit{M. F. Müller-Bahns} and \textit{N. Neumaier}, J. Geom. Phys. 50, No. 1--4, 257--272 (2004; Zbl 1078.53100) Full Text: DOI arXiv
Karabegov, Alexander V. On the inverse mapping of the formal symplectic groupoid of a deformation quantization. (English) Zbl 1067.53077 Lett. Math. Phys. 70, No. 1, 43-56 (2004). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 22A22 53D05 PDFBibTeX XMLCite \textit{A. V. Karabegov}, Lett. Math. Phys. 70, No. 1, 43--56 (2004; Zbl 1067.53077) Full Text: DOI arXiv
Müller-Bahns, Michael F.; Neumaier, Nikolai Invariant star products of Wick type: classification and quantum momentum mappings. (English) Zbl 1065.53068 Lett. Math. Phys. 70, No. 1, 1-15 (2004). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D20 81S10 PDFBibTeX XMLCite \textit{M. F. Müller-Bahns} and \textit{N. Neumaier}, Lett. Math. Phys. 70, No. 1, 1--15 (2004; Zbl 1065.53068) Full Text: DOI arXiv Link