Chan, Kwokwai; Conan Leung, Naichung; Li, Qin Bargmann-Fock sheaves on Kähler manifolds. (English) Zbl 1481.53108 Commun. Math. Phys. 388, No. 3, 1297-1322 (2021). MSC: 53D55 53D05 32Q15 PDF BibTeX XML Cite \textit{K. Chan} et al., Commun. Math. Phys. 388, No. 3, 1297--1322 (2021; Zbl 1481.53108) Full Text: DOI arXiv
Buchholz, Detlev; Fredenhagen, Klaus Dynamical C*-algebras and kinetic perturbations. (English) Zbl 1460.81046 Ann. Henri Poincaré 22, No. 3, 1001-1033 (2021). MSC: 81T05 81T20 81U20 46L05 30H20 46M20 PDF BibTeX XML Cite \textit{D. Buchholz} and \textit{K. Fredenhagen}, Ann. Henri Poincaré 22, No. 3, 1001--1033 (2021; Zbl 1460.81046) Full Text: DOI arXiv
Englis, Miroslav; Zhang, Genkai Connection and curvature on bundles of Bergman and Hardy spaces. (English) Zbl 1462.32010 Doc. Math. 25, 189-217 (2020). Reviewer: Michal Jasiczak (Poznań) MSC: 32A36 47B35 PDF BibTeX XML Cite \textit{M. Englis} and \textit{G. Zhang}, Doc. Math. 25, 189--217 (2020; Zbl 1462.32010) Full Text: DOI
Asserda, Said Bergman kernel estimates and Toeplitz operators on holomorphic line bundles. (English) Zbl 06712820 Khayyam J. Math. 2, No. 2, 128-167 (2016). MSC: 47B35 32A25 30H20 PDF BibTeX XML Cite \textit{S. Asserda}, Khayyam J. Math. 2, No. 2, 128--167 (2016; Zbl 06712820) Full Text: DOI arXiv
Upmeier, Harald Hilbert bundles and flat connexions over Hermitian symmetric domains. (English) Zbl 1270.46021 Duduchava, Roland (ed.) et al., Recent trends in Toeplitz and pseudodifferential operators. The Nikolai Vasilevskii anniversary volume. Basel: Birkhäuser (ISBN 978-3-0346-0547-2/hbk; 978-3-0346-0548-9/ebook). Operator Theory: Advances and Applications 210, 249-272 (2010). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 46E20 46G20 46E50 46M20 53C23 32M15 47B35 PDF BibTeX XML Cite \textit{H. Upmeier}, Oper. Theory: Adv. Appl. 210, 249--272 (2010; Zbl 1270.46021) Full Text: DOI
Sergeev, A. G. Twistor quantification for the loop space \(\Omega\mathbb R^d\). (Russian. English summary) Zbl 1199.81027 Zb. Pr. Inst. Mat. NAN Ukr. 6, No. 1, 287-305 (2009). MSC: 81R25 55P35 PDF BibTeX XML Cite \textit{A. G. Sergeev}, Zb. Pr. Inst. Mat. NAN Ukr. 6, No. 1, 287--305 (2009; Zbl 1199.81027)
Arias, Alvaro Fock space techniques in tensor algebras of directed graphs. (English) Zbl 1205.47009 Rocky Mt. J. Math. 39, No. 4, 1089-1143 (2009). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A20 47L30 47A57 46M20 PDF BibTeX XML Cite \textit{A. Arias}, Rocky Mt. J. Math. 39, No. 4, 1089--1143 (2009; Zbl 1205.47009) Full Text: DOI
Gibbons, John; Holm, Darryl D.; Tronci, Cesare Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket. (English) Zbl 1221.82102 Phys. Lett., A 372, No. 23, 4184-4196 (2008). MSC: 82C40 37K05 37N20 PDF BibTeX XML Cite \textit{J. Gibbons} et al., Phys. Lett., A 372, No. 23, 4184--4196 (2008; Zbl 1221.82102) Full Text: DOI arXiv
Sergeev, A. G. Twistor quantization of loop spaces of compact Lie groups. (English. Russian original) Zbl 1155.81338 Theor. Math. Phys. 157, No. 3, 1745-1759 (2008); translation from Teor. Mat. Fiz. 157, No. 3, 450-467 (2008). MSC: 81R25 PDF BibTeX XML Cite \textit{A. G. Sergeev}, Theor. Math. Phys. 157, No. 3, 1745--1759 (2008; Zbl 1155.81338); translation from Teor. Mat. Fiz. 157, No. 3, 450--467 (2008) Full Text: DOI
Boissière, Samuel Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane. (English) Zbl 1120.14002 J. Algebr. Geom. 14, No. 4, 761-787 (2005). Reviewer: Marc Nieper-Wißkirchen (Mainz) MSC: 14C05 14C17 14N10 57R20 PDF BibTeX XML Cite \textit{S. Boissière}, J. Algebr. Geom. 14, No. 4, 761--787 (2005; Zbl 1120.14002) Full Text: DOI arXiv
Arias, Alvaro Projective modules on Fock spaces. (English) Zbl 1078.46035 J. Oper. Theory 52, No. 1, 139-172 (2004). Reviewer: Aurelian Gheondea (Bucureşti) MSC: 46H25 47A20 46E22 47A57 46M20 PDF BibTeX XML Cite \textit{A. Arias}, J. Oper. Theory 52, No. 1, 139--172 (2004; Zbl 1078.46035)
Karabegov, Alexander V. On Fedosov’s approach to deformation quantization with separation of variables. (English) Zbl 0988.53042 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, 167-176 (2000). MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{A. V. Karabegov}, Math. Phys. Stud. 22, 167--176 (2000; Zbl 0988.53042) Full Text: arXiv
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K. Bundle gerbes applied to quantum field theory. (English) Zbl 0961.81127 Rev. Math. Phys. 12, No. 1, 65-90 (2000). MSC: 81T99 53C80 58D29 58J90 14F43 55R65 PDF BibTeX XML Cite \textit{A. L. Carey} et al., Rev. Math. Phys. 12, No. 1, 65--90 (2000; Zbl 0961.81127) Full Text: DOI arXiv
Hudson, R. L. Boson-fermion correspondence on the circle via quantum stochastic calculus. (English) Zbl 0987.81046 Int. J. Theor. Phys. 39, No. 3, 737-744 (2000). MSC: 81S25 81Q60 PDF BibTeX XML Cite \textit{R. L. Hudson}, Int. J. Theor. Phys. 39, No. 3, 737--744 (2000; Zbl 0987.81046) Full Text: DOI
Grigore, D. R. Fock space methods and the Lagrangian formalism on finite jet bundle extensions. (English) Zbl 0942.58027 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 481-491 (1999). MSC: 58E99 58A20 58A10 70H03 49S05 70G45 PDF BibTeX XML Cite \textit{D. R. Grigore}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 481--491 (1999; Zbl 0942.58027) Full Text: EMIS
Carey, Alan; Mickelsson, Jouko; Murray, Michael Index theory, gerbes, and Hamiltonian quantization. (English) Zbl 0887.58049 Commun. Math. Phys. 183, No. 3, 707-722 (1997). MSC: 58J20 58J52 PDF BibTeX XML Cite \textit{A. Carey} et al., Commun. Math. Phys. 183, No. 3, 707--722 (1997; Zbl 0887.58049) Full Text: DOI arXiv
Thienel, H.-P. A generalization of the Bargmann-Fock representation to supersymmetry. (English) Zbl 0992.46067 J. Phys. A, Math. Gen. 29, No. 21, 6983-6989 (1996). MSC: 46N50 81Q60 46M20 PDF BibTeX XML Cite \textit{H. P. Thienel}, J. Phys. A, Math. Gen. 29, No. 21, 6983--6989 (1996; Zbl 0992.46067) Full Text: DOI arXiv
Peetre, J. The periodic Fock bundle. (English) Zbl 0788.46069 Algebra Anal. 3, No. 5, 135-154 (1991). MSC: 46M20 46E20 PDF BibTeX XML Cite \textit{J. Peetre}, Algebra Anal. 3, No. 5, 135--154 (1991; Zbl 0788.46069)
Spera, Mauro A non commutative geometric reinterpretation of the canonical commutation relations. (English) Zbl 0725.46043 Boll. Unione Mat. Ital., VII. Ser., B 5, No. 1, 53-63 (1991). Reviewer: V.Oproiu (Iaşi) MSC: 46L87 46L85 PDF BibTeX XML Cite \textit{M. Spera}, Boll. Unione Mat. Ital., VII. Ser., B 5, No. 1, 53--63 (1991; Zbl 0725.46043)
Peetre, J. The periodic Fock bundle. (English) Zbl 0792.46054 St. Petersbg. Math. J. 3, No. 4, 1069-1088 (1992) and Algebra Anal. 3, No. 5, 135-154 (1991). MSC: 46M20 46E20 PDF BibTeX XML Cite \textit{J. Peetre}, St. Petersbg. Math. J. 3, No. 4, 1069--1088 (1991; Zbl 0792.46054)
Peetre, Jaak The Fock bundle. (English) Zbl 0721.46040 Analysis and partial differential equations, Coll. Pap. dedic. Mischa Cotlar, Lect. Notes Pure Appl. Math. 122, 301-326 (1990). Reviewer: R.Rochberg (St.Louis) MSC: 46M20 46E20 30C40 47B38 47F05 PDF BibTeX XML
Mickelsson, Jouko Commutator anomalies and the Fock bundle. (English) Zbl 0702.58084 Commun. Math. Phys. 127, No. 2, 285-294 (1990). MSC: 58B25 58D30 81S10 81T13 58J70 PDF BibTeX XML Cite \textit{J. Mickelsson}, Commun. Math. Phys. 127, No. 2, 285--294 (1990; Zbl 0702.58084) Full Text: DOI
Mickelsson, Jouko Current algebras and groups. (English) Zbl 0726.22015 Plenum Monographs in Nonlinear Physics. New York etc.: Plenum Press. xvii, 313 p. $ 79.50 (1989). Reviewer: A.N.Pressley (London) MSC: 22E65 81R10 17B65 22-02 58B25 17B81 17B66 22E70 58D05 PDF BibTeX XML Cite \textit{J. Mickelsson}, Current algebras and groups. New York etc.: Plenum Press (1989; Zbl 0726.22015)
Neretin, Yu. A. A spinor representation of an infinite-dimensional orthogonal semigroup and the Virasoro algebra. (English. Russian original) Zbl 0705.17021 Funct. Anal. Appl. 23, No. 3, 196-207 (1989); translation from Funkts. Anal. Prilozh. 23, No. 3, 32-44 (1989). MSC: 17B68 17B10 22E65 58D05 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funct. Anal. Appl. 23, No. 3, 196--207 (1989; Zbl 0705.17021); translation from Funkts. Anal. Prilozh. 23, No. 3, 32--44 (1989) Full Text: DOI
Neretin, Yu. A. Spinor representation of the infinite-dimensional orthogonal semigroup and the Virasoro algebra. (Russian) Zbl 0693.17010 Funkts. Anal. Prilozh. 23, No. 3, 32-44 (1989). Reviewer: Helmut Boseck (Greifswald) MSC: 17B68 17B10 22E65 58D05 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Funkts. Anal. Prilozh. 23, No. 3, 32--44 (1989; Zbl 0693.17010)
Applebaum, David Quantum stochastic parallel transport on noncommutative vector bundles. (English) Zbl 0637.46066 Quantum probability and applications III, Proc. Conf., Oberwolfach/FRG 1987, Lect. Notes Math. 1303, 20-36 (1988). Reviewer: D.Applebaum MSC: 46L51 46L53 46L54 46M20 82B10 60H15 46N99 60J65 PDF BibTeX XML
Hudson, R. L. Quantum diffusions and cohomology of algebras. (English) Zbl 0692.46068 Probability theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 1, 479-483 (1987). Reviewer: H.Yamagata MSC: 46N99 46L99 60J60 46M20 PDF BibTeX XML
Bose, S. K.; Sen, R. N. Implementing the Bogolubov-Valatin transformations on a Hilbert bundle. (English) Zbl 0627.46075 Rep. Math. Phys. 23, 139-153 (1986). MSC: 46L60 46N99 81S05 47B47 46M20 81R40 81T05 PDF BibTeX XML Cite \textit{S. K. Bose} and \textit{R. N. Sen}, Rep. Math. Phys. 23, 139--153 (1986; Zbl 0627.46075) Full Text: DOI
Carey, A. L. Some infinite dimensional groups and bundles. (English) Zbl 0575.46059 Publ. Res. Inst. Math. Sci. 20, 1103-1117 (1984). MSC: 46M20 46N99 46L60 PDF BibTeX XML Cite \textit{A. L. Carey}, Publ. Res. Inst. Math. Sci. 20, 1103--1117 (1984; Zbl 0575.46059) Full Text: DOI
Sniatycki, Jedrzej Geometric quantization and quantum mechanics. (English) Zbl 0429.58007 Applied Mathematical Sciences. 30. New York - Heidelberg -Berlin: Springer-Verlag. IX, 230 p. DM 28.00; $ 16.60 (1980). MSC: 53D50 70H05 81-02 81R10 PDF BibTeX XML Backlinks: MO