Elfimov, Boris M.; Sharapov, Alexey A. Wick-type deformation quantization of contact metric manifolds. (English) Zbl 07821440 Lett. Math. Phys. 114, No. 2, Paper No. 37, 20 p. (2024). MSC: 53D55 53D35 PDFBibTeX XMLCite \textit{B. M. Elfimov} and \textit{A. A. Sharapov}, Lett. Math. Phys. 114, No. 2, Paper No. 37, 20 p. (2024; Zbl 07821440) Full Text: DOI arXiv
Kupriyanov, Vladislav; Oliveira, Fernando; Sharapov, Alexey; Vassilevich, Dmitri Non-commutative gauge symmetry from strong homotopy algebras. (English) Zbl 07814455 J. Phys. A, Math. Theor. 57, No. 9, Article ID 095203, 17 p. (2024). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{V. Kupriyanov} et al., J. Phys. A, Math. Theor. 57, No. 9, Article ID 095203, 17 p. (2024; Zbl 07814455) Full Text: DOI arXiv
Sharapov, Alexey; Skvortsov, Evgeny; Sukhanov, Arseny Deformation quantization of the simplest Poisson orbifold. (English) Zbl 1509.53096 J. Geom. Phys. 184, Article ID 104723, 13 p. (2023). Reviewer: Gabriele Rembado (Bonn) MSC: 53D55 53D17 PDFBibTeX XMLCite \textit{A. Sharapov} et al., J. Geom. Phys. 184, Article ID 104723, 13 p. (2023; Zbl 1509.53096) Full Text: DOI arXiv
Sharapov, Alexey; Skvortsov, Evgeny; Sukhanov, Arseny; Van Dongen, Richard Minimal model of chiral higher spin gravity. (English) Zbl 07647498 J. High Energy Phys. 2022, No. 9, Paper No. 134, 32 p. (2022). MSC: 81T11 83C45 81T40 83D05 81T13 81T20 83C60 PDFBibTeX XMLCite \textit{A. Sharapov} et al., J. High Energy Phys. 2022, No. 9, Paper No. 134, 32 p. (2022; Zbl 07647498) Full Text: DOI arXiv
Elfimov, Boris M.; Sharapov, Alexey A. Deformation quantization of contact manifolds. (English) Zbl 1510.53102 Lett. Math. Phys. 112, No. 6, Paper No. 124, 21 p. (2022). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D35 53D10 PDFBibTeX XMLCite \textit{B. M. Elfimov} and \textit{A. A. Sharapov}, Lett. Math. Phys. 112, No. 6, Paper No. 124, 21 p. (2022; Zbl 1510.53102) Full Text: DOI arXiv
Elfimov, Boris M.; Sharapov, Alexey A. Lie and Leibniz algebras of lower-degree conservation laws. (English) Zbl 1505.81062 J. Phys. A, Math. Theor. 55, No. 6, Article ID 065201, 24 p. (2022). MSC: 81T13 81T70 PDFBibTeX XMLCite \textit{B. M. Elfimov} and \textit{A. A. Sharapov}, J. Phys. A, Math. Theor. 55, No. 6, Article ID 065201, 24 p. (2022; Zbl 1505.81062) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. A. Sharapov} and \textit{E. D. Skvortsov}, J. Noncommut. Geom. 15, No. 1, 223--240 (2021; Zbl 1492.16029) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{A. A. Sharapov} and \textit{E. D. Skvortsov}, Lett. Math. Phys. 109, No. 3, 623--641 (2019; Zbl 1408.16023) Full Text: DOI arXiv
Sharapov, A. A. BRST theory in the formalism of variational tricomplex. (English. Russian original) Zbl 1385.81042 Russ. Phys. J. 59, No. 11, 1911-1920 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 59, No. 11, 157-164 (2016). MSC: 81T70 81T13 81S10 PDFBibTeX XMLCite \textit{A. A. Sharapov}, Russ. Phys. J. 59, No. 11, 1911--1920 (2017; Zbl 1385.81042); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 59, No. 11, 157--164 (2016) Full Text: DOI
Sharapov, Alexey A.; Skvortsov, Evgeny D. Hochschild cohomology of the Weyl algebra and Vasiliev’s equations. (English) Zbl 1394.16007 Lett. Math. Phys. 107, No. 12, 2415-2432 (2017). MSC: 16E40 53D55 PDFBibTeX XMLCite \textit{A. A. Sharapov} and \textit{E. D. Skvortsov}, Lett. Math. Phys. 107, No. 12, 2415--2432 (2017; Zbl 1394.16007) Full Text: DOI arXiv
Sharapov, A. A. Variational tricomplex and BRST theory. (English) Zbl 1371.81289 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-31755-7/hbk; 978-3-319-31756-4/ebook). Trends in Mathematics, 331-341 (2016). MSC: 81T70 81T13 70S05 81R20 PDFBibTeX XMLCite \textit{A. A. Sharapov}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 331--341 (2016; Zbl 1371.81289) Full Text: DOI arXiv
Sharapov, Alexey A. Variational tricomplex, global symmetries and conservation laws of gauge systems. (English) Zbl 1354.70059 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 098, 24 p. (2016). MSC: 70S10 81T70 83C40 PDFBibTeX XMLCite \textit{A. A. Sharapov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 098, 24 p. (2016; Zbl 1354.70059) Full Text: DOI arXiv
Sharapov, A. A. Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracket. (English) Zbl 1354.70058 Int. J. Mod. Phys. A 30, No. 25, Article ID 1550152, 32 p. (2015). MSC: 70S10 81T70 83C40 PDFBibTeX XMLCite \textit{A. A. Sharapov}, Int. J. Mod. Phys. A 30, No. 25, Article ID 1550152, 32 p. (2015; Zbl 1354.70058) Full Text: DOI arXiv
Sharapov, A. A. Peierls brackets in non-Lagrangian field theory. (English) Zbl 1303.70025 Int. J. Mod. Phys. A 29, No. 27, Article ID 1450157, 28 p. (2014). MSC: 70S20 70S15 70G45 70G55 53D55 53D17 81S40 81S05 PDFBibTeX XMLCite \textit{A. A. Sharapov}, Int. J. Mod. Phys. A 29, No. 27, Article ID 1450157, 28 p. (2014; Zbl 1303.70025) Full Text: DOI arXiv
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A. Consistent interactions and involution. (English) Zbl 1342.81296 J. High Energy Phys. 2013, No. 1, Paper No. 097, 30 p. (2013). MSC: 81T13 PDFBibTeX XMLCite \textit{D. S. Kaparulin} et al., J. High Energy Phys. 2013, No. 1, Paper No. 097, 30 p. (2013; Zbl 1342.81296) Full Text: DOI arXiv
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A. Lagrange anchor for Bargmann-Wigner equations. (English) Zbl 1305.70044 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, 119-126 (2013). MSC: 70S10 81T70 PDFBibTeX XMLCite \textit{D. S. Kaparulin} et al., 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. 119--126 (2013; Zbl 1305.70044) Full Text: DOI arXiv
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A. BRST analysis of general mechanical systems. (English) Zbl 1283.81095 J. Geom. Phys. 74, 164-184 (2013). MSC: 81S10 53D55 53D45 PDFBibTeX XMLCite \textit{D. S. Kaparulin} et al., J. Geom. Phys. 74, 164--184 (2013; Zbl 1283.81095) Full Text: DOI arXiv
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A. Local BRST cohomology in (non-)Lagrangian field theory. (English) Zbl 1301.81266 J. High Energy Phys. 2011, No. 9, Paper No. 006, 34 p. (2011). MSC: 81T70 81T13 81R05 14N35 70S10 PDFBibTeX XMLCite \textit{D. S. Kaparulin} et al., J. High Energy Phys. 2011, No. 9, Paper No. 006, 34 p. (2011; Zbl 1301.81266) Full Text: DOI arXiv
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A. On Lagrange structure of unfolded field theory. (English) Zbl 1214.81281 Int. J. Mod. Phys. A 26, No. 7-8, 1347-1362 (2011). MSC: 81T70 PDFBibTeX XMLCite \textit{D. S. Kaparulin} et al., Int. J. Mod. Phys. A 26, No. 7--8, 1347--1362 (2011; Zbl 1214.81281) Full Text: DOI arXiv
Mosman, Elena; Sharapov, Alexey All stable characteristic classes of homological vector fields. (English) Zbl 1209.58006 Lett. Math. Phys. 94, No. 3, 243-261 (2010). MSC: 58A50 81T70 57R32 PDFBibTeX XMLCite \textit{E. Mosman} and \textit{A. Sharapov}, Lett. Math. Phys. 94, No. 3, 243--261 (2010; Zbl 1209.58006) Full Text: DOI arXiv
Lyakhovich, S. L.; Mosman, E. A.; Sharapov, A. A. Characteristic classes of Q-manifolds: classification and applications. (English) Zbl 1188.58003 J. Geom. Phys. 60, No. 5, 729-759 (2010). MSC: 58A50 81T70 57R32 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} et al., J. Geom. Phys. 60, No. 5, 729--759 (2010; Zbl 1188.58003) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A. Normal forms and gauge symmetry of local dynamics. (English) Zbl 1298.81352 J. Math. Phys. 50, No. 8, 083510, 23 p. (2009). MSC: 81T70 58E50 70G65 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, J. Math. Phys. 50, No. 8, 083510, 23 p. (2009; Zbl 1298.81352) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A. Quantization of Donaldson-Uhlenbeck-Yau theory. (English) Zbl 1246.81142 Phys. Lett., B 656, No. 4-5, 265-271 (2007). MSC: 81T13 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, Phys. Lett., B 656, No. 4--5, 265--271 (2007; Zbl 1246.81142) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A. BRST quantization of quasisymplectic manifolds and beyond. (English) Zbl 1111.53072 J. Math. Phys. 47, No. 4, 043508, 26 p. (2006). MSC: 53D55 53D17 81S10 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, J. Math. Phys. 47, No. 4, 043508, 26 p. (2006; Zbl 1111.53072) Full Text: DOI arXiv
Kupriyanov, V. G.; Lyakhovich, S. L.; Sharapov, A. A. Deformation quantization of linear dissipative systems. (English) Zbl 1097.81041 J. Phys. A, Math. Gen. 38, No. 37, 8039-8051 (2005). MSC: 81S10 53D55 82C03 37J05 PDFBibTeX XMLCite \textit{V. G. Kupriyanov} et al., J. Phys. A, Math. Gen. 38, No. 37, 8039--8051 (2005; Zbl 1097.81041) Full Text: DOI arXiv Link
Gorbunov, I. V.; Lyakhovich, S. L.; Sharapov, A. A. Wick quantization of cotangent bundles over Riemannian manifolds. (English) Zbl 1078.53094 J. Geom. Phys. 53, No. 1, 98-121 (2005). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D55 53D50 81S10 53C55 PDFBibTeX XMLCite \textit{I. V. Gorbunov} et al., J. Geom. Phys. 53, No. 1, 98--121 (2005; Zbl 1078.53094) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A. Characteristic classes of gauge systems. (English) Zbl 1198.81179 Nucl. Phys., B 703, No. 3, 419-453 (2004). MSC: 81T70 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, Nucl. Phys., B 703, No. 3, 419--453 (2004; Zbl 1198.81179) Full Text: DOI arXiv
Gorbunov, I. V.; Sharapov, A. A. Bosonic string with noncommutative geometry of worldsheet: deformation quantization approach. (English) Zbl 1064.83536 Gravit. Cosmol. 9, No. 1-2(33-34), 30-32 (2003). MSC: 83C65 83C45 PDFBibTeX XMLCite \textit{I. V. Gorbunov} and \textit{A. A. Sharapov}, Gravit. Cosmol. 9, No. 1--2(33--34), 30--32 (2003; Zbl 1064.83536)
Lyakhovich, S. L.; Sharapov, A. A. Kähler polarization and Wick quantization of Hamiltonian systems subject to second-class constraints. (English) Zbl 1083.53504 Mod. Phys. Lett. A 17, No. 2, 121-129 (2002). MSC: 53D55 70H50 81S10 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, Mod. Phys. Lett. A 17, No. 2, 121--129 (2002; Zbl 1083.53504) Full Text: DOI arXiv
Dolgushev, V. A.; Isaev, A. P.; Lyakovich, S. L.; Sharapov, A. A. Quantization of triangular Lie bialgebras. (English) Zbl 1064.17006 Czech. J. Phys. 52, No. 11, 1195-1200 (2002). MSC: 17B37 17B62 53D55 PDFBibTeX XMLCite \textit{V. A. Dolgushev} et al., Czech. J. Phys. 52, No. 11, 1195--1200 (2002; Zbl 1064.17006) Full Text: DOI
Dolgushev, V. A.; Isaev, A. P.; Lyakhovich, S. L.; Sharapov, A. A. On the Fedosov deformation quantization beyond the regular Poisson manifolds. (English) Zbl 0999.53056 Nucl. Phys., B 645, No. 3, 457-476 (2002). MSC: 53D55 81S10 81Q50 PDFBibTeX XMLCite \textit{V. A. Dolgushev} et al., Nucl. Phys., B 645, No. 3, 457--476 (2002; Zbl 0999.53056) Full Text: DOI arXiv
Gorbunov, I. V.; Sharapov, A. A. String with noncommutative world-sheet and stringy instantons. (English) Zbl 1039.81544 Phys. Lett., B 531, No. 3-4, 255-262 (2002). MSC: 81T30 81T75 PDFBibTeX XMLCite \textit{I. V. Gorbunov} and \textit{A. A. Sharapov}, Phys. Lett., B 531, No. 3--4, 255--262 (2002; Zbl 1039.81544) Full Text: DOI arXiv
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A. Wick type symbols and deformed algebra of exterior forms. (English) Zbl 1161.53365 Semikhatov, A. M. (ed.) et al., Quantization, gauge theory, and strings. Vol. II. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5–10, 2000. Moscow: Scientific World (ISBN 5-89176-125-4). 19-26 (2001). MSC: 53D55 PDFBibTeX XMLCite \textit{V. A. Dolgushev} et al., in: Quantization, gauge theory, and strings. Vol. II. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5--10, 2000. Moscow: Scientific World. 19--26 (2001; Zbl 1161.53365) Full Text: arXiv
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A. Wick quantisation of a symplectic manifold. (English) Zbl 1006.53074 Nucl. Phys., B, Proc. Suppl. 102-103, 144-149 (2001). MSC: 53D50 81S10 53D05 PDFBibTeX XMLCite \textit{V. A. Dolgushev} et al., Nucl. Phys., B, Proc. Suppl. 102--103, 144--149 (2001; Zbl 1006.53074) Full Text: DOI arXiv
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A. Wick type deformation quantization of Fedosov manifolds. (English) Zbl 0969.81635 Nucl. Phys., B 606, No. 3, 647-672 (2001). MSC: 81T70 PDFBibTeX XMLCite \textit{V. A. Dolgushev} et al., Nucl. Phys., B 606, No. 3, 647--672 (2001; Zbl 0969.81635) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M. A uniform model of the massive spinning particle in any dimension. (English) Zbl 1022.81611 Int. J. Mod. Phys. A 15, No. 27, 4287-4299 (2000). MSC: 81S10 70H45 81R20 81R25 53D50 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} et al., Int. J. Mod. Phys. A 15, No. 27, 4287--4299 (2000; Zbl 1022.81611) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M. Massive spinning particle in any dimension. I: Integer spins. (English) Zbl 0948.81553 Nucl. Phys., B 537, No. 1-3, 640-652 (1999). MSC: 81R05 81S10 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} et al., Nucl. Phys., B 537, No. 1--3, 640--652 (1999; Zbl 0948.81553) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M. \(d=6\) massive spinning particle. (English) Zbl 1022.81542 Mod. Phys. Lett. A 11, No. 38, 3011-3019 (1996). MSC: 81R25 37J05 81S10 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} et al., Mod. Phys. Lett. A 11, No. 38, 3011--3019 (1996; Zbl 1022.81542) Full Text: DOI arXiv
Lyakhovich, S. L.; Sharapov, A. A. Anomalous nature of \(W_3\) gravitation models associated with exclusive Jordan algebras. (English. Russian original) Zbl 1124.81302 Russ. Phys. J. 38, No. 8, 811-814 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 8, 55-58 (1995). MSC: 81R05 17C99 83C45 PDFBibTeX XMLCite \textit{S. L. Lyakhovich} and \textit{A. A. Sharapov}, Russ. Phys. J. 38, No. 8, 811--814 (1995; Zbl 1124.81302); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 8, 55--58 (1995) Full Text: DOI