Bao, Yan-Hong; Ye, Yu Cohomology structure for a Poisson algebra. II. (English) Zbl 07344751 Sci. China, Math. 64, No. 5, 903-920 (2021). MSC: 16E40 16W10 17B37 PDF BibTeX XML Cite \textit{Y.-H. Bao} and \textit{Y. Ye}, Sci. China, Math. 64, No. 5, 903--920 (2021; Zbl 07344751) Full Text: DOI
Tu, Junwu Categorical Saito theory. I: A comparison result. (English) Zbl 07337375 Adv. Math. 383, Article ID 107683, 32 p. (2021). MSC: 14A 32J 32G 14D 14J PDF BibTeX XML Cite \textit{J. Tu}, Adv. Math. 383, Article ID 107683, 32 p. (2021; Zbl 07337375) Full Text: DOI
Domański, Ziemowit Deformation quantization on the cotangent bundle of a Lie group. (English) Zbl 07333981 J. Math. Phys. 62, No. 3, 033504, 32 p. (2021). MSC: 81S10 53D55 14L10 46A04 46L05 17B81 58A30 PDF BibTeX XML Cite \textit{Z. Domański}, J. Math. Phys. 62, No. 3, 033504, 32 p. (2021; Zbl 07333981) Full Text: DOI
Pflaum, Markus J.; Rudolph, Gerd; Schmidt, Matthias Deformation quantization and homological reduction of a lattice gauge model. (English) Zbl 07333504 Commun. Math. Phys. 382, No. 2, 1061-1109 (2021). MSC: 81S10 53D55 20J05 81T25 81T13 81T18 81T70 46L05 46L10 81S30 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Commun. Math. Phys. 382, No. 2, 1061--1109 (2021; Zbl 07333504) Full Text: DOI
Wu, Siye Representations of fermionic star product algebras and the projectively flat connection. (English) Zbl 07333264 J. Geom. Phys. 163, Article ID 104147, 17 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D55 53D50 15A75 15A66 PDF BibTeX XML Cite \textit{S. Wu}, J. Geom. Phys. 163, Article ID 104147, 17 p. (2021; Zbl 07333264) Full Text: DOI
Chan, Kwokwai; Leung, Naichung Conan; Li, Qin Quantization of Kähler manifolds. (English) Zbl 07333263 J. Geom. Phys. 163, Article ID 104143, 13 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53D55 58J20 81T15 81Q30 PDF BibTeX XML Cite \textit{K. Chan} et al., J. Geom. Phys. 163, Article ID 104143, 13 p. (2021; Zbl 07333263) Full Text: DOI
Futaki, Akito; La Fuente-Gravy, Laurent Quantum moment map and obstructions to the existence of closed Fedosov star products. (English) Zbl 07333255 J. Geom. Phys. 163, Article ID 104118, 16 p. (2021). MSC: 53D55 53D20 32Q15 53D05 PDF BibTeX XML Cite \textit{A. Futaki} and \textit{L. La Fuente-Gravy}, J. Geom. Phys. 163, Article ID 104118, 16 p. (2021; Zbl 07333255) Full Text: DOI
Ogievetsky, Oleg; Pyatov, Pavel Quantum matrix algebras of BMW type: structure of the characteristic subalgebra. (English) Zbl 07333229 J. Geom. Phys. 162, Article ID 104086, 35 p. (2021). MSC: 81R50 17B37 15A30 08A30 53D55 PDF BibTeX XML Cite \textit{O. Ogievetsky} and \textit{P. Pyatov}, J. Geom. Phys. 162, Article ID 104086, 35 p. (2021; Zbl 07333229) Full Text: DOI
Castro Perelman, Carlos The geometrization of quantum mechanics, the nonlinear Klein-Gordon equation, Finsler gravity and phase spaces. (English) Zbl 07333224 J. Geom. Phys. 162, Article ID 104068, 12 p. (2021). MSC: 81Q05 35Q55 81R20 81V17 53B40 53D55 81Q65 81S30 81S10 81R60 PDF BibTeX XML Cite \textit{C. Castro Perelman}, J. Geom. Phys. 162, Article ID 104068, 12 p. (2021; Zbl 07333224) Full Text: DOI
Bezrukavnikov, Roman; Losev, Ivan Etingof’s conjecture for quantized quiver varieties. (English) Zbl 07330737 Invent. Math. 223, No. 3, 1097-1226 (2021). MSC: 16G99 16G20 53D20 53D55 PDF BibTeX XML Cite \textit{R. Bezrukavnikov} and \textit{I. Losev}, Invent. Math. 223, No. 3, 1097--1226 (2021; Zbl 07330737) Full Text: DOI
Chekhov, Leonid; Mazzocco, Marta; Rubtsov, Vladimir Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras. (English) Zbl 07282544 Adv. Math. 376, Article ID 107442, 53 p. (2021). MSC: 14A22 32G34 37J65 53D55 17B63 20C08 PDF BibTeX XML Cite \textit{L. Chekhov} et al., Adv. Math. 376, Article ID 107442, 53 p. (2021; Zbl 07282544) Full Text: DOI
Li, Qin One dimensional Chern-Simons theory and deformation quantization. (English) Zbl 07325759 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press (ISBN 978-1-57146-393-7/hbk). 487-501 (2020). MSC: 53-02 53D55 58J20 81T15 81Q30 PDF BibTeX XML Cite \textit{Q. Li}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 487--501 (2020; Zbl 07325759)
Futaki, Akito; La Fuente-Gravy, Laurent Deformation quantization and Kähler geometry with moment map. (English) Zbl 07325737 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press (ISBN 978-1-57146-393-7/hbk). 31-66 (2020). MSC: 53D55 53D20 32Q15 53C21 PDF BibTeX XML Cite \textit{A. Futaki} and \textit{L. La Fuente-Gravy}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 31--66 (2020; Zbl 07325737)
Cahen, Michel; Gutt, Simone; Waldmann, Stefan Nuclear group algebras for finitely generated groups. (English) Zbl 07324963 Bull. Belg. Math. Soc. - Simon Stevin 27, No. 4, 567-594 (2020). MSC: 20C07 43A20 46A11 13J10 53D55 PDF BibTeX XML Cite \textit{M. Cahen} et al., Bull. Belg. Math. Soc. - Simon Stevin 27, No. 4, 567--594 (2020; Zbl 07324963) Full Text: DOI Euclid
Basdouri, Imed; Derbali, Ammar; Chraygui, Mohamed Elkhames Cohomology of \(\mathfrak{aff}(1|1)\) acting on the space of bilinear differential operators on the superspace \(\mathbb{R}^{1|1}\). (English) Zbl 07314450 Casp. J. Math. Sci. 9, No. 2, 305-320 (2020). MSC: 53D55 17B56 58H15 PDF BibTeX XML Cite \textit{I. Basdouri} et al., Casp. J. Math. Sci. 9, No. 2, 305--320 (2020; Zbl 07314450) Full Text: DOI
Moretti, Valter; van de Ven, Christiaan J. F. Bulk-boundary asymptotic equivalence of two strict deformation quantizations. (English) Zbl 1457.53068 Lett. Math. Phys. 110, No. 11, 2941-2963 (2020). MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{V. Moretti} and \textit{C. J. F. van de Ven}, Lett. Math. Phys. 110, No. 11, 2941--2963 (2020; Zbl 1457.53068) Full Text: DOI
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
Landsman, Klaas; Moretti, Valter; van de Ven, Christiaan J. F. Strict deformation quantization of the state space of \(M_k(\mathbb{C})\) with applications to the Curie-Weiss model. (English) Zbl 07305679 Rev. Math. Phys. 32, No. 10, Article ID 2050031, 54 p. (2020). MSC: 46L65 81R30 82B20 PDF BibTeX XML Cite \textit{K. Landsman} et al., Rev. Math. Phys. 32, No. 10, Article ID 2050031, 54 p. (2020; Zbl 07305679) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. Rembado}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 103, 44 p. (2020; Zbl 1456.81272) Full Text: DOI
Santos, Jonas F. G. Heat flow and noncommutative quantum mechanics in phase-space. (English) Zbl 1454.81125 J. Math. Phys. 61, No. 12, 122101, 10 p. (2020). MSC: 81S30 81P45 81P68 82B30 80A19 81S05 53D55 PDF BibTeX XML Cite \textit{J. F. G. Santos}, J. Math. Phys. 61, No. 12, 122101, 10 p. (2020; Zbl 1454.81125) Full Text: DOI
Dimitrijević Ćirić, Marija; Giotopoulos, Grigorios; Radovanović, Voja; Szabo, Richard J. \(L_\infty\)-algebras of Einstein-Cartan-Palatini gravity. (English) Zbl 1455.83021 J. Math. Phys. 61, No. 11, 112502, 65 p. (2020). MSC: 83D05 83C05 83C40 83C45 83C65 83E15 83E50 83E30 81R10 81T33 81V17 58J28 53Z05 PDF BibTeX XML Cite \textit{M. Dimitrijević Ćirić} et al., J. Math. Phys. 61, No. 11, 112502, 65 p. (2020; Zbl 1455.83021) Full Text: DOI
Gohara, Jumpei; Hirota, Yuji; Sako, Akifumi Categorical perspective on quantization of Poisson algebra. (English) Zbl 1454.81121 J. Math. Phys. 61, No. 7, 073506, 19 p. (2020). MSC: 81S10 53D55 18C10 PDF BibTeX XML Cite \textit{J. Gohara} et al., J. Math. Phys. 61, No. 7, 073506, 19 p. (2020; Zbl 1454.81121) Full Text: DOI
Cahen, Benjamin Formal deformations and principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) and \(\mathrm{SL}(2,\mathbb{C})\). (English) Zbl 07285971 Czech. Math. J. 70, No. 4, 935-951 (2020). MSC: 17B10 17B20 17B56 22E46 53D55 PDF BibTeX XML Cite \textit{B. Cahen}, Czech. Math. J. 70, No. 4, 935--951 (2020; Zbl 07285971) Full Text: DOI
Gorev, N. D.; Elfimov, B. M.; Sharapov, A. A. Deformation quantization of framed presymplectic manifolds. (English. Russian original) Zbl 1453.81042 Theor. Math. Phys. 204, No. 2, 1079-1092 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 280-296 (2020). MSC: 81S10 53D55 53D45 PDF BibTeX XML Cite \textit{N. D. Gorev} et al., Theor. Math. Phys. 204, No. 2, 1079--1092 (2020; Zbl 1453.81042); translation from Teor. Mat. Fiz. 204, No. 2, 280--296 (2020) Full Text: DOI
Merkulov, Sergei; Willwacher, Thomas Classification of universal formality maps for quantizations of Lie bialgebras. (English) Zbl 07283068 Compos. Math. 156, No. 10, 2111-2148 (2020). MSC: 17B37 18M60 16W30 PDF BibTeX XML Cite \textit{S. Merkulov} and \textit{T. Willwacher}, Compos. Math. 156, No. 10, 2111--2148 (2020; Zbl 07283068) Full Text: DOI
Fiore, Gaetano; Franco, Davide; Weber, Thomas Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\). (English) Zbl 1454.81116 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 38, 56 p. (2020). MSC: 81R60 81R25 81S10 53D55 53C40 14D21 83C65 PDF BibTeX XML Cite \textit{G. Fiore} et al., Math. Phys. Anal. Geom. 23, No. 4, Paper No. 38, 56 p. (2020; Zbl 1454.81116) Full Text: DOI
Belmonte, Fabián; Cuéllar, Sebastián Constants of motion of the harmonic oscillator. (English) Zbl 1451.81279 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 35, 21 p. (2020). MSC: 81S08 81Q10 81R05 53D55 34B20 34C14 PDF BibTeX XML Cite \textit{F. Belmonte} and \textit{S. Cuéllar}, Math. Phys. Anal. Geom. 23, No. 4, Paper No. 35, 21 p. (2020; Zbl 1451.81279) Full Text: DOI
Banks, Peter; Panzer, Erik; Pym, Brent Multiple zeta values in deformation quantization. (English) Zbl 1454.11161 Invent. Math. 222, No. 1, 79-159 (2020). Reviewer: István Mező (Nanjing) MSC: 11M32 14H10 53D55 81Q30 PDF BibTeX XML Cite \textit{P. Banks} et al., Invent. Math. 222, No. 1, 79--159 (2020; Zbl 1454.11161) Full Text: DOI
Schnitzer, Jonas Characteristic (Fedosov-)class of a twist constructed by Drinfel’d. (English) Zbl 1447.53075 Lett. Math. Phys. 110, No. 9, 2353-2361 (2020). MSC: 53D55 PDF BibTeX XML Cite \textit{J. Schnitzer}, Lett. Math. Phys. 110, No. 9, 2353--2361 (2020; Zbl 1447.53075) Full Text: DOI
Esposito, Chiara; Kraft, Andreas; Waldmann, Stefan BRST reduction of quantum algebras with \(^*\)-involutions. (English) Zbl 07236121 Commun. Math. Phys. 378, No. 2, 1391-1416 (2020). MSC: 81S10 53D55 81T70 53D45 46K10 46L60 46L65 17B37 17B56 PDF BibTeX XML Cite \textit{C. Esposito} et al., Commun. Math. Phys. 378, No. 2, 1391--1416 (2020; Zbl 07236121) Full Text: DOI
Khalfoun, Hafedh; Laraiedh, Ismail The linear \(\mathfrak{n}(1|N)\)-invariant differential operators and \(\mathfrak{n}(1|N)\)-relative cohomology. (Opérateurs différentiels linéaires \(\mathfrak{n}(1|N)\)-invariants et cohomology \(\mathfrak{n}(1|N)\)-relative.) (English) Zbl 07226758 C. R., Math., Acad. Sci. Paris 358, No. 1, 45-58 (2020). MSC: 53D55 14F10 17B10 17B68 PDF BibTeX XML Cite \textit{H. Khalfoun} and \textit{I. Laraiedh}, C. R., Math., Acad. Sci. Paris 358, No. 1, 45--58 (2020; Zbl 07226758) Full Text: DOI
Basdouri, Imed; Hammami, Sarra; Messaoud, Olfa Second cohomology space of \(\mathfrak{sl}(2)\) acting on the space of bilinear bidifferential operators. (English) Zbl 1445.53063 Rev. Unión Mat. Argent. 61, No. 1, 131-143 (2020). Reviewer: Jian-Jian Jiang (Ningde) MSC: 53D55 14F10 17B10 17B68 PDF BibTeX XML Cite \textit{I. Basdouri} et al., Rev. Unión Mat. Argent. 61, No. 1, 131--143 (2020; Zbl 1445.53063) Full Text: DOI
Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris Comparison of spaces associated to DGLA via higher holonomy. (English) Zbl 1436.17025 Cortiñas, Guillermo (ed.) et al., \(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 749, 1-12 (2020). MSC: 17B55 18G50 18N50 53D55 PDF BibTeX XML Cite \textit{P. Bressler} et al., Contemp. Math. 749, 1--12 (2020; Zbl 1436.17025) Full Text: DOI
Browning, Thomas L.; Feintzeig, Benjamin H. Classical limits of gauge-invariant states and the choice of algebra for strict quantization. (English) Zbl 1443.53051 Lett. Math. Phys. 110, No. 7, 1835-1860 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 81S10 81P05 PDF BibTeX XML Cite \textit{T. L. Browning} and \textit{B. H. Feintzeig}, Lett. Math. Phys. 110, No. 7, 1835--1860 (2020; Zbl 1443.53051) Full Text: DOI
Hawkins, Eli; Rejzner, Kasia The star product in interacting quantum field theory. (English) Zbl 1457.53067 Lett. Math. Phys. 110, No. 6, 1257-1313 (2020). MSC: 53D55 81T10 81T18 PDF BibTeX XML Cite \textit{E. Hawkins} and \textit{K. Rejzner}, Lett. Math. Phys. 110, No. 6, 1257--1313 (2020; Zbl 1457.53067) Full Text: DOI
D’Andrea, Francesco On the notion of noncommutative submanifold. (English) Zbl 1454.46074 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 050, 21 p. (2020). MSC: 46L87 53C99 53D55 13N15 PDF BibTeX XML Cite \textit{F. D'Andrea}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 050, 21 p. (2020; Zbl 1454.46074) Full Text: DOI
Tarasov, V. E. Exact discretization of non-commutative space-time. (English) Zbl 1435.81103 Mod. Phys. Lett. A 35, No. 16, Article ID 2050135, 9 p. (2020). MSC: 81R60 53D55 PDF BibTeX XML Cite \textit{V. E. Tarasov}, Mod. Phys. Lett. A 35, No. 16, Article ID 2050135, 9 p. (2020; Zbl 1435.81103) Full Text: DOI
Dolgushev, Vasily A.; Rogers, Christopher L. The cohomology of the full directed graph complex. (English) Zbl 07210933 Algebr. Represent. Theory 23, No. 3, 917-961 (2020). MSC: 53D55 53D17 57Q45 18M60 05C10 05E15 PDF BibTeX XML Cite \textit{V. A. Dolgushev} and \textit{C. L. Rogers}, Algebr. Represent. Theory 23, No. 3, 917--961 (2020; Zbl 07210933) Full Text: DOI
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming \(F\)-manifold algebras and deformation quantization via pre-Lie algebras. (English) Zbl 1442.17003 J. Algebra 559, 467-495 (2020); corrigendum ibid. 574, 571-572 (2021). Reviewer: Loïc Foissy (Calais) MSC: 17A30 53D55 17B38 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Algebra 559, 467--495 (2020; Zbl 1442.17003) Full Text: DOI
Lou, Qi; Oh, Sei-Qwon; Wang, Shengqiang Poisson double extensions. (English) Zbl 1455.17023 Sci. China, Math. 63, No. 4, 701-720 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B63 16S36 PDF BibTeX XML Cite \textit{Q. Lou} et al., Sci. China, Math. 63, No. 4, 701--720 (2020; Zbl 1455.17023) Full Text: DOI
Futaki, Akito; Ono, Hajime Cahen-Gutt moment map, closed Fedosov star product and structure of the automorphism group. (English) Zbl 1436.53061 J. Symplectic Geom. 18, No. 1, 123-145 (2020). MSC: 53D20 32Q15 53D55 PDF BibTeX XML Cite \textit{A. Futaki} and \textit{H. Ono}, J. Symplectic Geom. 18, No. 1, 123--145 (2020; Zbl 1436.53061) Full Text: DOI
Etingof, Pavel; Stryker, Douglas Short star-products for filtered quantizations, I. (English) Zbl 07181791 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 014, 28 p. (2020). MSC: 06B15 53D55 PDF BibTeX XML Cite \textit{P. Etingof} and \textit{D. Stryker}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 014, 28 p. (2020; Zbl 07181791) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Cutimanco} and \textit{V. Shramchenko}, J. Math. Phys. 61, No. 1, 013501, 20 p. (2020; Zbl 1434.53094) Full Text: DOI
Ben Fraj, N.; Faidi, T.; Khalfoun, H.; Abdelwaheb, Z. Cohomology of \(\mathfrak{aff}(n\vert 1)\) acting on the spaces of linear differential operators on the superspace \(\mathbb{R}^{1/n}\). (English) Zbl 07175025 Period. Math. Hung. 46, No. 1, 1-14 (2020). MSC: 53D55 PDF BibTeX XML Cite \textit{N. Ben Fraj} et al., Period. Math. Hung. 46, No. 1, 1--14 (2020; Zbl 07175025) Full Text: DOI
Živković, Marko Multi-directed graph complexes and quasi-isomorphisms between them. I: Oriented graphs. (English) Zbl 1434.05156 High. Struct. 4, No. 1, 266-283 (2020). MSC: 05E16 05C20 53D55 53C15 PDF BibTeX XML Cite \textit{M. Živković}, High. Struct. 4, No. 1, 266--283 (2020; Zbl 1434.05156) Full Text: Link
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 PDF BibTeX XML Cite \textit{A. A. Voronov}, Pure Appl. Math. Q. 16, No. 1, 125--152 (2020; Zbl 1436.14026) Full Text: DOI
Bousseau, Pierrick Quantum mirrors of log Calabi-Yau surfaces and higher-genus curve counting. (English) Zbl 07159514 Compos. Math. 156, No. 2, 360-411 (2020). MSC: 14N35 14J33 14J81 53D55 PDF BibTeX XML Cite \textit{P. Bousseau}, Compos. Math. 156, No. 2, 360--411 (2020; Zbl 07159514) Full Text: DOI
Chen, Xiaojun; Eshmatov, Farkhod; Liu, Leilei Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras. (English) Zbl 1430.53100 J. Geom. Phys. 147, Article ID 103522, 19 p. (2020). MSC: 53D55 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Geom. Phys. 147, Article ID 103522, 19 p. (2020; Zbl 1430.53100) Full Text: DOI
Laraiedh, Ismail \(\mathfrak{aff}(1|1)\)-trivial deformations of \(\mathfrak{aff}(2|1)\)-modules of weighted densities on the superspace \(\mathbb{R}^{1|2}\). (English) Zbl 07273798 Extr. Math. 34, No. 2, 269-283 (2019). MSC: 17B56 53D55 58H15 PDF BibTeX XML Cite \textit{I. Laraiedh}, Extr. Math. 34, No. 2, 269--283 (2019; Zbl 07273798) Full Text: DOI
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
Hirota, Yuji; Miyazaki, Naoya; Taniguchi, Tadashi On deformation quantization using super twistorial double fibration. (English) Zbl 07215857 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 (ISBN 978-3-030-34071-1/hbk; 978-3-030-34072-8/ebook). Trends in Mathematics, 92-99 (2019). MSC: 53D55 53C28 32C11 32L25 PDF BibTeX XML Cite \textit{Y. Hirota} et al., 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. 92--99 (2019; Zbl 07215857) Full Text: DOI
Hounkonnou, Mahouton Norbert; Landalidji, Mahougnon Justin Hamiltonian dynamics for the Kepler problem in a deformed phase space. (English) Zbl 07215851 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 (ISBN 978-3-030-34071-1/hbk; 978-3-030-34072-8/ebook). Trends in Mathematics, 34-48 (2019). Reviewer: Alain Albouy (Paris) MSC: 70H06 70F05 53D55 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} and \textit{M. J. Landalidji}, 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. 34--48 (2019; Zbl 07215851) Full Text: DOI
Soloviev, M. A. Spaces of type \(S\) and deformation quantization. (English. Russian original) Zbl 1441.81115 Theor. Math. Phys. 201, No. 3, 1682-1700 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 315-336 (2019). MSC: 81S10 53D55 PDF BibTeX XML Cite \textit{M. A. Soloviev}, Theor. Math. Phys. 201, No. 3, 1682--1700 (2019; Zbl 1441.81115); translation from Teor. Mat. Fiz. 201, No. 3, 315--336 (2019) Full Text: DOI
Waldmann, Stefan Convergence of star products: from examples to a general framework. (English) Zbl 1443.53052 EMS Surv. Math. Sci. 6, No. 1-2, 1-31 (2019). Reviewer: Jian-Jian Jiang (Ningde) MSC: 53D55 81T70 PDF BibTeX XML Cite \textit{S. Waldmann}, EMS Surv. Math. Sci. 6, No. 1--2, 1--31 (2019; Zbl 1443.53052) Full Text: DOI
Safi, Imen; Saoudi, Zina; Tounsi, Khaled Supersymmetries of modules of differential operators. (English) Zbl 07179430 Math. Rep., Buchar. 21(71), No. 3, 311-337 (2019). MSC: 53D55 PDF BibTeX XML Cite \textit{I. Safi} et al., Math. Rep., Buchar. 21(71), No. 3, 311--337 (2019; Zbl 07179430)
Soloviev, M. A. Spaces of type \(S\) as topological algebras under twisted convolution and star product. (English. Russian original) Zbl 1433.81105 Proc. Steklov Inst. Math. 306, 220-241 (2019); translation from Tr. Mat. Inst. Steklova 306, 235-257 (2019). MSC: 81S10 53D55 16P90 81R25 44A35 PDF BibTeX XML Cite \textit{M. A. Soloviev}, Proc. Steklov Inst. Math. 306, 220--241 (2019; Zbl 1433.81105); translation from Tr. Mat. Inst. Steklova 306, 235--257 (2019) Full Text: DOI
Meljanac, Daniel; Meljanac, Stjepan; Škoda, Zoran; Štrajn, Rina One parameter family of Jordanian twists. (English) Zbl 1430.53101 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 082, 16 p. (2019). MSC: 53D55 16T05 PDF BibTeX XML Cite \textit{D. Meljanac} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 082, 16 p. (2019; Zbl 1430.53101) 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 PDF BibTeX XML Cite \textit{J. Tosiek} and \textit{M. Dobrski}, J. Math. Phys. 60, No. 10, 102106, 17 p. (2019; Zbl 1427.81060) Full Text: DOI
Buring, R.; Kiselev, A. V. Formality morphism as the mechanism of \(\star\)-product associativity: how it works. (English) Zbl 1438.53125 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22-43 (2019). Reviewer: O. Zhaliĭ (Kyïv) MSC: 53D55 46L65 53D17 PDF BibTeX XML Cite \textit{R. Buring} and \textit{A. V. Kiselev}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22--43 (2019; Zbl 1438.53125)
La Fuente-Gravy, Laurent Futaki invariant for Fedosov star products. (English) Zbl 1429.53103 J. Symplectic Geom. 17, No. 5, 1317-1330 (2019). MSC: 53D55 53C55 53D20 PDF BibTeX XML Cite \textit{L. La Fuente-Gravy}, J. Symplectic Geom. 17, No. 5, 1317--1330 (2019; Zbl 1429.53103) Full Text: DOI
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars Addendum to: “On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups”. (English) Zbl 1441.46051 Int. J. Math. 30, No. 11, Article ID 1992002, 8 p. (2019). MSC: 46L65 53D55 PDF BibTeX XML Cite \textit{P. Bieliavsky} et al., Int. J. Math. 30, No. 11, Article ID 1992002, 8 p. (2019; Zbl 1441.46051) Full Text: DOI
Baranovsky, Vladimir; Chen, Taiji Quantization of vector bundles on Lagrangian subvarieties. (English) Zbl 1428.53099 Int. Math. Res. Not. 2019, No. 12, 3718-3739 (2019). MSC: 53D55 53D50 PDF BibTeX XML Cite \textit{V. Baranovsky} and \textit{T. Chen}, Int. Math. Res. Not. 2019, No. 12, 3718--3739 (2019; Zbl 1428.53099) Full Text: DOI arXiv
Esposito, Chiara; Schmitt, Philipp; Waldmann, Stefan Comparison and continuity of Wick-type star products on certain coadjoint orbits. (English) Zbl 1431.53099 Forum Math. 31, No. 5, 1203-1223 (2019). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 17B08 PDF BibTeX XML Cite \textit{C. Esposito} et al., Forum Math. 31, No. 5, 1203--1223 (2019; Zbl 1431.53099) Full Text: DOI
Li-Bland, David; Ševera, Pavol Coherent quantization using coloured surfaces. (English) Zbl 1435.17022 Math. Res. Lett. 26, No. 3, 805-850 (2019). MSC: 17B62 17B37 17B63 53D55 PDF BibTeX XML Cite \textit{D. Li-Bland} and \textit{P. Ševera}, Math. Res. Lett. 26, No. 3, 805--850 (2019; Zbl 1435.17022) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Dippell} et al., Doc. Math. 24, 1811--1853 (2019; Zbl 1427.53105) Full Text: DOI
Yoshioka, Akira Star exponentials in star product algebra. (English) Zbl 1426.53094 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., 155-164 (2019). MSC: 53D55 PDF BibTeX XML Cite \textit{A. Yoshioka}, 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. 155--164 (2019; Zbl 1426.53094) Full Text: DOI
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 PDF BibTeX XML Cite \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) Full Text: DOI
Sternheimer, Daniel The reasonable effectiveness of mathematical deformation theory in physics. (English) Zbl 1427.53106 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., 131-138 (2019). MSC: 53D55 81R50 17B37 53Z05 81S10 81V25 83C57 PDF BibTeX XML Cite \textit{D. Sternheimer}, 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. 131--138 (2019; Zbl 1427.53106) Full Text: DOI
Maceda, Marco; Martínez-Carbajal, Daniel A Kähler compatible Moyal deformation of the first heavenly equation. (English) Zbl 1428.37067 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 073, 16 p. (2019). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K25 37K10 53C26 53D55 70H06 83C20 32Q15 32J27 PDF BibTeX XML Cite \textit{M. Maceda} and \textit{D. Martínez-Carbajal}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 073, 16 p. (2019; Zbl 1428.37067) Full Text: DOI arXiv
Borowiec, Andrzej; Meljanac, Daniel; Meljanac, Stjepan; Pachoł, Anna Interpolations between Jordanian twists induced by coboundary twists. (English) Zbl 1425.81090 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 054, 22 p. (2019). MSC: 81T75 16T05 17B37 81R60 81R25 81R50 53D55 PDF BibTeX XML Cite \textit{A. Borowiec} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 054, 22 p. (2019; Zbl 1425.81090) Full Text: DOI arXiv
Mnev, Pavel Quantum field theory: Batalin-Vilkovisky formalism and its applications. (English) Zbl 07118081 University Lecture Series 72. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5271-1/pbk; 978-1-4704-5368-8/ebook). ix, 186 p. (2019). MSC: 81T18 81T13 58A50 53D55 PDF BibTeX XML Cite \textit{P. Mnev}, Quantum field theory: Batalin-Vilkovisky formalism and its applications. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 07118081) Full Text: DOI
Koczor, Bálint; Zeier, Robert; Glaser, Steffen J. Continuous phase spaces and the time evolution of spins: star products and spin-weighted spherical harmonics. (English) Zbl 1422.81123 J. Phys. A, Math. Theor. 52, No. 5, Article ID 055302, 30 p. (2019). MSC: 81R25 81S30 53D55 81V80 33C55 PDF BibTeX XML Cite \textit{B. Koczor} et al., J. Phys. A, Math. Theor. 52, No. 5, Article ID 055302, 30 p. (2019; Zbl 1422.81123) Full Text: DOI
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. The \(\kappa\)-(A)dS noncommutative spacetime. (English) Zbl 1422.81134 Phys. Lett., B 796, 93-101 (2019). MSC: 81R60 81R50 PDF BibTeX XML Cite \textit{A. Ballesteros} et al., Phys. Lett., B 796, 93--101 (2019; Zbl 1422.81134) Full Text: DOI
Cahen, Benjamin A construction by deformation of unitary irreducible representations of \(S U(1, n)\) and \(S U(n + 1)\). (English) Zbl 07096440 J. Algebra Appl. 18, No. 7, Article ID 1950125, 15 p. (2019). MSC: 17B10 17B20 17B56 22E46 53D55 PDF BibTeX XML Cite \textit{B. Cahen}, J. Algebra Appl. 18, No. 7, Article ID 1950125, 15 p. (2019; Zbl 07096440) Full Text: DOI
Karabegov, Alexander Formal oscillatory integrals and deformation quantization. (English) Zbl 1421.53087 Lett. Math. Phys. 109, No. 8, 1907-1937 (2019). MSC: 53D55 81Q20 PDF BibTeX XML Cite \textit{A. Karabegov}, Lett. Math. Phys. 109, No. 8, 1907--1937 (2019; Zbl 1421.53087) Full Text: DOI
van Nuland, Teun D. H. Quantization and the resolvent algebra. (English) Zbl 1432.46052 J. Funct. Anal. 277, No. 8, 2815-2838 (2019). MSC: 46L65 46L60 81R15 PDF BibTeX XML Cite \textit{T. D. H. van Nuland}, J. Funct. Anal. 277, No. 8, 2815--2838 (2019; Zbl 1432.46052) Full Text: DOI
Kraus, Daniela; Roth, Oliver; Schötz, Matthias; Waldmann, Stefan A convergent star product on the Poincaré disc. (English) Zbl 1422.32027 J. Funct. Anal. 277, No. 8, 2734-2771 (2019). MSC: 32Q05 32Q15 46K10 46L65 PDF BibTeX XML Cite \textit{D. Kraus} et al., J. Funct. Anal. 277, No. 8, 2734--2771 (2019; Zbl 1422.32027) Full Text: DOI arXiv
Liao, Hsuan-Yi; Stiénon, Mathieu; Xu, Ping Formality and Kontsevich-Duflo type theorems for Lie pairs. (English) Zbl 1417.58012 Adv. Math. 352, 406-482 (2019). MSC: 58H05 22A22 32Q99 53D55 PDF BibTeX XML Cite \textit{H.-Y. Liao} et al., Adv. Math. 352, 406--482 (2019; Zbl 1417.58012) Full Text: DOI
Basdouri, Imed; Derbali, Ammar; Saidi, Soumaya Second cohomology of \(\mathfrak{aff}(1)\) acting on \(n\)-ary differential operators. (English) Zbl 07080957 Bull. Korean Math. Soc. 56, No. 1, 13-22 (2019). Reviewer: Benjamin Cahen (Metz) MSC: 17B56 17B67 53D55 PDF BibTeX XML Cite \textit{I. Basdouri} et al., Bull. Korean Math. Soc. 56, No. 1, 13--22 (2019; Zbl 07080957) Full Text: DOI
du Crest de Villeneuve, Ann; Rossi, Paolo Quantum \(D_4\) Drinfeld-Sokolov hierarchy and quantum singularity theory. (English) Zbl 1431.53098 J. Geom. Phys. 141, 29-44 (2019). MSC: 53D55 53D37 PDF BibTeX XML Cite \textit{A. du Crest de Villeneuve} and \textit{P. Rossi}, J. Geom. Phys. 141, 29--44 (2019; Zbl 1431.53098) Full Text: DOI
Ionov, Andrei Primitive forms for Gepner singularities. (English) Zbl 1417.81157 J. Geom. Phys. 140, 125-130 (2019). MSC: 81T40 53D55 81T45 14M15 PDF BibTeX XML Cite \textit{A. Ionov}, J. Geom. Phys. 140, 125--130 (2019; Zbl 1417.81157) Full Text: DOI arXiv
Chacón, Erick; García-Compeán, Hugo Self-dual gravity via Hitchin’s equations. (English) Zbl 1419.83048 J. Math. Phys. 60, No. 5, 052502, 19 p. (2019). MSC: 83D05 83C15 81R12 70S15 53Z05 83C45 83C80 35Q55 34M55 PDF BibTeX XML Cite \textit{E. Chacón} and \textit{H. García-Compeán}, J. Math. Phys. 60, No. 5, 052502, 19 p. (2019; Zbl 1419.83048) Full Text: DOI
Błaszak, Maciej Quantum versus classical mechanics and integrability problems. Towards a unification of approaches and tools. (English) Zbl 1435.81005 Cham: Springer (ISBN 978-3-030-18378-3/hbk; 978-3-030-18379-0/ebook). xiii, 460 p. (2019). Reviewer: Giovanni Rastelli (Vercelli) MSC: 81-02 37-02 81S08 81S10 53D50 53D55 37J35 70H06 70Hxx 81Q80 PDF BibTeX XML Cite \textit{M. Błaszak}, Quantum versus classical mechanics and integrability problems. Towards a unification of approaches and tools. Cham: Springer (2019; Zbl 1435.81005) Full Text: DOI
Altinay-Ozaslan, Elif; Dolgushev, Vasily Towards deformation quantization over a \(\mathbb Z\)-graded base. (English) Zbl 1418.53090 J. Noncommut. Geom. 13, No. 1, 227-256 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 53D55 18G55 PDF BibTeX XML Cite \textit{E. Altinay-Ozaslan} and \textit{V. Dolgushev}, J. Noncommut. Geom. 13, No. 1, 227--256 (2019; Zbl 1418.53090) Full Text: DOI
Petit, François Quantization of spectral curves and DQ-modules. (English) Zbl 1415.53071 J. Noncommut. Geom. 13, No. 1, 161-191 (2019). MSC: 53D55 32C38 14D21 14F10 PDF BibTeX XML Cite \textit{F. Petit}, J. Noncommut. Geom. 13, No. 1, 161--191 (2019; Zbl 1415.53071) Full Text: DOI
Agbor, Dieudonne Algebraic properties of Toeplitz operators with symbols from the range of the heat transform on the Fock space. (English) Zbl 1423.47006 Adv. Oper. Theory 4, No. 3, 698-723 (2019). MSC: 47B35 53D55 PDF BibTeX XML Cite \textit{D. Agbor}, Adv. Oper. Theory 4, No. 3, 698--723 (2019; Zbl 1423.47006) Full Text: DOI Euclid
Grosse, Harald; Wulkenhaar, Raimar How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. (English) Zbl 1414.81157 Vietnam J. Math. 47, No. 1, 93-112 (2019). MSC: 81T10 53D55 81T25 81R05 81T15 81T16 81T05 PDF BibTeX XML Cite \textit{H. Grosse} and \textit{R. Wulkenhaar}, Vietnam J. Math. 47, No. 1, 93--112 (2019; Zbl 1414.81157) Full Text: DOI
Arnal, Didier; Chaabouni, Mouna; Hfaiedh, Mabrouka Linear analytic formality. (Formalité linéaire analytique.) (French. English summary) Zbl 1414.53080 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 1, 129-143 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53D55 05C30 PDF BibTeX XML Cite \textit{D. Arnal} et al., Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 1, 129--143 (2019; Zbl 1414.53080) Full Text: DOI
Strakhov, A. A.; Man’ko, V. I. Quadratic tomography star product algebra and its classical limit. (English) Zbl 1412.53110 Int. J. Theor. Phys. 58, No. 2, 543-557 (2019). MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{A. A. Strakhov} and \textit{V. I. Man'ko}, Int. J. Theor. Phys. 58, No. 2, 543--557 (2019; Zbl 1412.53110) Full Text: DOI
Sharapov, Alexey A.; Skvortsov, Evgeny D. A simple construction of associative deformations. (English) Zbl 1408.16023 Lett. Math. Phys. 109, No. 3, 623-641 (2019). MSC: 16S80 16E40 53D55 PDF BibTeX XML Cite \textit{A. A. Sharapov} and \textit{E. D. Skvortsov}, Lett. Math. Phys. 109, No. 3, 623--641 (2019; Zbl 1408.16023) Full Text: DOI
Dütsch, Michael From classical field theory to perturbative quantum field theory. (English) Zbl 07024145 Progress in Mathematical Physics 74. Cham: Birkhäuser (ISBN 978-3-030-04737-5/hbk; 978-3-030-04738-2/ebook). xix, 538 p. (2019). MSC: 81-02 81T15 53D55 00A79 PDF BibTeX XML Cite \textit{M. Dütsch}, From classical field theory to perturbative quantum field theory. Cham: Birkhäuser (2019; Zbl 07024145) 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 PDF BibTeX XML Cite \textit{T. Pantev} and \textit{G. Vezzosi}, Proc. Symp. Pure Math. 97, 405--457 (2018; Zbl 1446.53067) Full Text: DOI
Sharygin, G.; Konyaev, A. Survey of the deformation quantization of commutative families. (English) Zbl 1426.53093 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 130-153 (2018). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D17 PDF BibTeX XML Cite \textit{G. Sharygin} and \textit{A. Konyaev}, Springer Proc. Math. Stat. 273, 130--153 (2018; Zbl 1426.53093) Full Text: DOI
Yoshioka, Akira Star products, star exponentials, and star functions. (English) Zbl 1423.46096 Diagana, Toka (ed.) et al., Mathematical structures and applications. In honor of Mahouton Norbert Hounkonnou. Selected papers based on the conference, Cotonou, Benin, October 29–30, 2016. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 439-451 (2018). MSC: 46L65 53D55 PDF BibTeX XML Cite \textit{A. Yoshioka}, in: Mathematical structures and applications. In honor of Mahouton Norbert Hounkonnou. Selected papers based on the conference, Cotonou, Benin, October 29--30, 2016. Cham: Springer. 439--451 (2018; Zbl 1423.46096) Full Text: DOI
Losev, Ivan Representation theory of quantized Gieseker varieties. I. (English) Zbl 1441.16020 Kac, Victor G. (ed.) et al., Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Cham: Birkhäuser. Prog. Math. 326, 273-314 (2018). MSC: 16G99 16G20 53D20 53D55 PDF BibTeX XML Cite \textit{I. Losev}, Prog. Math. 326, 273--314 (2018; Zbl 1441.16020) Full Text: DOI arXiv
Tsygan, Boris A microlocal category associated to a symplectic manifold. (English) Zbl 1417.53097 Hitrik, Michael (ed.) et al., Algebraic and analytic microlocal analysis. AAMA, Evanston, Illinois, USA, May 14–26, 2012 and May 20–24, 2013. Contributions of the workshops. Cham: Springer. Springer Proc. Math. Stat. 269, 225-337 (2018). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 35A27 PDF BibTeX XML Cite \textit{B. Tsygan}, Springer Proc. Math. Stat. 269, 225--337 (2018; Zbl 1417.53097) Full Text: DOI arXiv
Losev, Ivan Procesi bundles and symplectic reflection algebras. (English) Zbl 1423.14106 Hitrik, Michael (ed.) et al., Algebraic and analytic microlocal analysis. AAMA, Evanston, Illinois, USA, May 14–26, 2012 and May 20–24, 2013. Contributions of the workshops. Cham: Springer. Springer Proc. Math. Stat. 269, 3-61 (2018). MSC: 14E16 53D20 53D55 05E05 16G20 16G99 16S36 17B63 20F55 PDF BibTeX XML Cite \textit{I. Losev}, Springer Proc. Math. Stat. 269, 3--61 (2018; Zbl 1423.14106) Full Text: DOI arXiv
Alexandre, Charles; Bordemann, Martin; Rivière, Salim; Wagemann, Friedrich Algebraic deformation quantization of Leibniz algebras. (English) Zbl 07051318 Commun. Algebra 46, No. 12, 5179-5201 (2018). MSC: 17A32 81S10 53D55 PDF BibTeX XML Cite \textit{C. Alexandre} et al., Commun. Algebra 46, No. 12, 5179--5201 (2018; Zbl 07051318) Full Text: DOI
Dolgushev, Vasily A formality quasi-isomorphism for Hochschild cochains over rationals can be constructed recursively. (English) Zbl 1409.53073 Int. Math. Res. Not. 2018, No. 18, 5729-5785 (2018). MSC: 53D55 18D50 PDF BibTeX XML Cite \textit{V. Dolgushev}, Int. Math. Res. Not. 2018, No. 18, 5729--5785 (2018; Zbl 1409.53073) Full Text: DOI arXiv
Fraj, N. Ben; Khalfoun, H.; Faidi, T. The relative cohomology of the Lie superalgebra of contact vector fields on \(S^{1 | 2}\). (English) Zbl 1441.53075 Int. J. Geom. Methods Mod. Phys. 15, No. 12, Article ID 1850203, 19 p. (2018). MSC: 53D55 14F10 17B10 17B68 17B56 81R10 PDF BibTeX XML Cite \textit{N. B. Fraj} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 12, Article ID 1850203, 19 p. (2018; Zbl 1441.53075) Full Text: DOI