Edit Profile (opens in new tab) Glazebrook, James F. Co-Author Distance Author ID: glazebrook.james-f Published as: Glazebrook, James F.; Glazebrook, J. F.; Glazebrook, James more...less Documents Indexed: 61 Publications since 1983, including 1 Additional arXiv Preprint Co-Authors: 32 Co-Authors with 47 Joint Publications 815 Co-Co-Authors all top 5 Co-Authors 13 single-authored 11 Kamber, Franz W. 9 Dupre, Maurice J. 4 Bradlow, Steven B. 4 Fields, Christopher A. 4 Georgiev, Danko D. 4 Previato, Emma 4 Verjovsky, Alberto 3 Brown, Ronald 2 Baianu, Ion C. 2 Grayson, Daniel Richard 2 Hewitt, P. R. 2 Marcianò, Antonino 2 Sundararaman, Duraiswamy 2 Wallace, Rodrick 1 Adams, Malcolm R. 1 Barbasch, Dan M. 1 Chargoy-Corona, J. 1 Coulton, Patrick 1 Donagi, Ron Y. 1 Douglas, Ronald George 1 Evard, Jean-Claude 1 Gauchman, Hillel 1 Gitler Hammer, Samuel Carlos 1 Jardim, Marcos 1 Jeffrey, Lisa Claire 1 Matsutani, Shigeki 1 Mumford, David Bryant 1 Ronsse, Greg 1 Roubtsov, Volodya 1 Thompson, Ben 1 Toth, Gabor 1 Yu, Guoliang all top 5 Serials 4 Reports on Mathematical Physics 3 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 3 Geometriae Dedicata 3 Informatica (Ljubljana) 2 Communications in Algebra 2 Proceedings of the London Mathematical Society. Third Series 2 Tensor. New Series 2 Georgian Mathematical Journal 2 Complex Analysis and Operator Theory 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Physica A 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Revista de la Unión Matemática Argentina 1 Tôhoku Mathematical Journal. Second Series 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 \(K\)-Theory 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Notices of the American Mathematical Society 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Journal of Lie Theory 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Quanta all top 5 Fields 32 Global analysis, analysis on manifolds (58-XX) 21 Differential geometry (53-XX) 9 Functional analysis (46-XX) 9 Quantum theory (81-XX) 8 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Functions of a complex variable (30-XX) 3 Relativity and gravitational theory (83-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 132 times in 79 Documents Cited by ▼ Year ▼ Transversal Dirac families in Riemannian foliations. Zbl 0744.53014 Glazebrook, J. F.; Kamber, F. W. 27 1991 The Stiefel bundle of a Banach algebra. Zbl 0997.46047 Dupré, Maurice J.; Glazebrook, James F. 9 2001 Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062 Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang 7 1995 A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators. Zbl 1101.37048 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 7 2006 Curvature of universal bundles of Banach algebras. Zbl 1202.46088 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 7 2010 On spectral flow of transversal Dirac operators and a theorem of Vafa- Witten. Zbl 0733.58005 Glazebrook, J. F.; Kamber, F. W. 6 1991 Harmonic maps of Riemann surfaces to indefinite complex hyperbolic and projective spaces. Zbl 0497.58013 Erdem, S.; Glazebrook, J. F. 5 1983 Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve. Zbl 1276.19005 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 5 2013 Smooth parametrization of subspaces in a Banach space. Zbl 0938.46014 Dupré, Maurice J.; Evard, Jean-Claude; Glazebrook, James F. 4 1998 Holomorphic framings for projections in a Banach algebra. Zbl 1021.46038 Dupré, Maurice; Glazebrook, James F. 4 2002 Rate distortion manifolds as model spaces for cognitive information. Zbl 1195.94006 Glazebrook, James F.; Wallace, Rodrick 4 2009 Infinite dimensional manifold structures on principal bundles. Zbl 0964.58004 Dupré, Maurice J.; Glazebrook, James F. 3 2000 Differential algebras with Banach-algebra coefficients. II: The operator cross-ratio tau-function and the Schwarzian derivative. Zbl 1294.46050 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 3 2013 A new look at the vortex equations and dimensional reduction. Zbl 0916.58003 Bradlow, Steven; Glazebrook, James; Kamber, Franz 3 1997 A Fourier-Mukai transform for real torus bundles. Zbl 1084.53022 Glazebrook, James F.; Jardim, Marcos; Kamber, Franz W. 3 2004 The construction of a class of harmonic maps to quaternionic projective space. Zbl 0518.58014 Glazebrook, James F. 3 1984 Strings, harmonic maps and hyperbolic systems. Zbl 0693.58044 Glazebrook, J. F. 3 1990 On the quantum dynamics of Davydov solitons in protein \(\alpha\)-helices. Zbl 1514.92075 Georgiev, Danko D.; Glazebrook, James F. 3 2019 Reduction of the Hermitian-Einstein equation on Kählerian fiber bundles. Zbl 0939.58008 Bradlow, Steven B.; Glazebrook, James F.; Kamber, Franz W. 2 1999 Residual circuits in generalized monoidal transformations. Zbl 0722.55012 Glazebrook, J. F.; Verjovsky, A. 2 1988 On the generalized Riemann-Hurwitz formula. Zbl 0639.57013 Gitler, S.; Glazebrook, J. F.; Verjovsky, A. 2 1985 Secondary invariants and chiral anomalies of basic Dirac families. Zbl 0805.57020 Glazebrook, James F.; Kamber, Franz W. 2 1993 Chiral anomalies and Dirac families in Riemannian foliations. Zbl 0793.58040 Glazebrook, James F.; Kamber, Franz W. 2 1993 Relative inversion and embeddings. Zbl 1069.46028 Dupré, Maurice J.; Glazebrook, James F. 2 2004 Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe. Zbl 1064.58020 Brown, Ronald; Glazebrook, James F. 2 2003 Sequential measurements, topological quantum field theories, and topological quantum neural networks. Zbl 07768712 Fields, Chris; Glazebrook, James F.; Marcianò, Antonino 2 2022 Homology theory formulas for generalized Riemann-Hurwitz and generalized monoidal transformations. Zbl 1456.57022 Glazebrook, James F.; Verjovsky, Alberto 1 2019 On isotropic harmonic maps to real and quaternionic Grassmannians. Zbl 0588.58016 Glazebrook, J. F. 1 1986 Submanifolds of the Cayley projective plane with bounded second fundamental form. Zbl 0698.53036 Coulton, Patrick; Glazebrook, James 1 1990 Wiener-Hopf type operators and their generalized determinants. Zbl 1337.47041 Glazebrook, James F. 1 2014 Harmonic maps of Riemann surfaces to indefinite complex Grassmannians and the classical domains. Zbl 0526.58014 Glazebrook, J. F. 1 1984 Determinant line bundles for Hermitian foliations and a generalized Quillen metric. Zbl 0747.58049 Glazebrook, James F.; Kamber, Franz W. 1 1991 A quasi-triangular Hopf structure derived from the Burchnall-Chaundy \(C^{\ast}\)-algebra. Zbl 1295.46049 Glazebrook, James F. 1 2013 The physical meaning of the holographic principle. Zbl 1518.83069 Fields, Chris; Glazebrook, James F.; Marciano, Antonino 1 2022 Thermal stability of solitons in protein \(\alpha\)-helices. Zbl 1498.92139 Georgiev, Danko D.; Glazebrook, James F. 1 2022 ‘The frozen accident’ as an evolutionary adaptation: a rate distortion theory perspective on the dynamics and symmetries of genetic coding mechanisms. Zbl 1260.94090 Glazebrook, James F.; Wallace, Rodrick 1 2012 Sequential measurements, topological quantum field theories, and topological quantum neural networks. Zbl 07768712 Fields, Chris; Glazebrook, James F.; Marcianò, Antonino 2 2022 The physical meaning of the holographic principle. Zbl 1518.83069 Fields, Chris; Glazebrook, James F.; Marciano, Antonino 1 2022 Thermal stability of solitons in protein \(\alpha\)-helices. Zbl 1498.92139 Georgiev, Danko D.; Glazebrook, James F. 1 2022 On the quantum dynamics of Davydov solitons in protein \(\alpha\)-helices. Zbl 1514.92075 Georgiev, Danko D.; Glazebrook, James F. 3 2019 Homology theory formulas for generalized Riemann-Hurwitz and generalized monoidal transformations. Zbl 1456.57022 Glazebrook, James F.; Verjovsky, Alberto 1 2019 Wiener-Hopf type operators and their generalized determinants. Zbl 1337.47041 Glazebrook, James F. 1 2014 Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve. Zbl 1276.19005 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 5 2013 Differential algebras with Banach-algebra coefficients. II: The operator cross-ratio tau-function and the Schwarzian derivative. Zbl 1294.46050 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 3 2013 A quasi-triangular Hopf structure derived from the Burchnall-Chaundy \(C^{\ast}\)-algebra. Zbl 1295.46049 Glazebrook, James F. 1 2013 ‘The frozen accident’ as an evolutionary adaptation: a rate distortion theory perspective on the dynamics and symmetries of genetic coding mechanisms. Zbl 1260.94090 Glazebrook, James F.; Wallace, Rodrick 1 2012 Curvature of universal bundles of Banach algebras. Zbl 1202.46088 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 7 2010 Rate distortion manifolds as model spaces for cognitive information. Zbl 1195.94006 Glazebrook, James F.; Wallace, Rodrick 4 2009 A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators. Zbl 1101.37048 Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma 7 2006 A Fourier-Mukai transform for real torus bundles. Zbl 1084.53022 Glazebrook, James F.; Jardim, Marcos; Kamber, Franz W. 3 2004 Relative inversion and embeddings. Zbl 1069.46028 Dupré, Maurice J.; Glazebrook, James F. 2 2004 Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe. Zbl 1064.58020 Brown, Ronald; Glazebrook, James F. 2 2003 Holomorphic framings for projections in a Banach algebra. Zbl 1021.46038 Dupré, Maurice; Glazebrook, James F. 4 2002 The Stiefel bundle of a Banach algebra. Zbl 0997.46047 Dupré, Maurice J.; Glazebrook, James F. 9 2001 Infinite dimensional manifold structures on principal bundles. Zbl 0964.58004 Dupré, Maurice J.; Glazebrook, James F. 3 2000 Reduction of the Hermitian-Einstein equation on Kählerian fiber bundles. Zbl 0939.58008 Bradlow, Steven B.; Glazebrook, James F.; Kamber, Franz W. 2 1999 Smooth parametrization of subspaces in a Banach space. Zbl 0938.46014 Dupré, Maurice J.; Evard, Jean-Claude; Glazebrook, James F. 4 1998 A new look at the vortex equations and dimensional reduction. Zbl 0916.58003 Bradlow, Steven; Glazebrook, James; Kamber, Franz 3 1997 Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062 Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang 7 1995 Secondary invariants and chiral anomalies of basic Dirac families. Zbl 0805.57020 Glazebrook, James F.; Kamber, Franz W. 2 1993 Chiral anomalies and Dirac families in Riemannian foliations. Zbl 0793.58040 Glazebrook, James F.; Kamber, Franz W. 2 1993 Transversal Dirac families in Riemannian foliations. Zbl 0744.53014 Glazebrook, J. F.; Kamber, F. W. 27 1991 On spectral flow of transversal Dirac operators and a theorem of Vafa- Witten. Zbl 0733.58005 Glazebrook, J. F.; Kamber, F. W. 6 1991 Determinant line bundles for Hermitian foliations and a generalized Quillen metric. Zbl 0747.58049 Glazebrook, James F.; Kamber, Franz W. 1 1991 Strings, harmonic maps and hyperbolic systems. Zbl 0693.58044 Glazebrook, J. F. 3 1990 Submanifolds of the Cayley projective plane with bounded second fundamental form. Zbl 0698.53036 Coulton, Patrick; Glazebrook, James 1 1990 Residual circuits in generalized monoidal transformations. Zbl 0722.55012 Glazebrook, J. F.; Verjovsky, A. 2 1988 On isotropic harmonic maps to real and quaternionic Grassmannians. Zbl 0588.58016 Glazebrook, J. F. 1 1986 On the generalized Riemann-Hurwitz formula. Zbl 0639.57013 Gitler, S.; Glazebrook, J. F.; Verjovsky, A. 2 1985 The construction of a class of harmonic maps to quaternionic projective space. Zbl 0518.58014 Glazebrook, James F. 3 1984 Harmonic maps of Riemann surfaces to indefinite complex Grassmannians and the classical domains. Zbl 0526.58014 Glazebrook, J. F. 1 1984 Harmonic maps of Riemann surfaces to indefinite complex hyperbolic and projective spaces. Zbl 0497.58013 Erdem, S.; Glazebrook, J. F. 5 1983 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 17 Glazebrook, James F. 8 Habib, Georges 6 Beltiţă, Daniel 6 Jung, Seoung Dal 5 Galé, José E. 5 Kamber, Franz W. 4 Dupre, Maurice J. 4 Richardson, Ken V. 4 Wallace, Rodrick 3 El Chami, Fida 3 Kordyukov, Yuri A. 3 Previato, Emma 3 Slesar, Vladimir 2 Bradlow, Steven B. 2 Fields, Christopher A. 2 Georgiev, Danko D. 2 Ginoux, Nicolas 2 Nakad, Roger 2 Schäfer, Lars 2 Verjovsky, Alberto 1 Álvarez-Cónsul, Luis 1 Bădiţoiu, Gabriel 1 Ben-Bassat, Oren 1 Benameur, Moulay-Tahar 1 Blower, Gordon 1 Bojarski, Bogdan 1 Brown, Ronald 1 Bryant, Robert L. 1 Curri, Elira 1 Diaconescu, Duiliu-Emanuel 1 Dijkgraaf, Robbert H. 1 Domrin, Andrei Victorovich 1 Donagi, Ron Y. 1 Dupont, Johan L. 1 Evans, David E. 1 Gannon, Terry 1 García-Prada, Oscar 1 Glöckner, Helge 1 Heitsch, James L. 1 Hofman, Christiaan 1 Hulett, Eduardo Guillermo 1 Hwang, Doo Hyun 1 Ianus, Stere 1 Inoguchi, Jun-ichi 1 Ionescu, Adrian Mihai 1 Jeong, Imsoon 1 Kang, Tae Ho 1 Keller, Julien 1 Khimshiashvili, Giorgi 1 Kim, Byung Hak 1 Kim, Soon Chan 1 Lejmi, Mehdi 1 Li, Tongzhu 1 Lin, Yi 1 Loftin, John C. 1 Loizides, Yiannis 1 Loubeau, Eric 1 Ma, Xiang 1 Malham, Simon J. A. 1 Marcianò, Antonino 1 McIntosh, Ian 1 Meng, Gao-Qing 1 Neeb, Karl-Hermann 1 Ohnita, Yoshihiro 1 Paar, Vladimir 1 Pak, Jin Suk 1 Pan, Yu-Song 1 Pantev, Tony G. 1 Park, Jeonghyeong 1 Prokhorenkov, Igor 1 Rosandić, Marija 1 Sandoval, Mary R. 1 Shaska, Tanush 1 Shor, Caleb Mckinley 1 Sjamaar, Reyer 1 Slobodeanu, Radu 1 Suh, Young Jin 1 Toda, Magdalena 1 Udagawa, Seiichi 1 Vîlcu, Gabriel Eduard 1 Visinescu, Mihai 1 Vlahović, Ines 1 Wallace, Deborah N. 1 Wang, Changping 1 Weber, Patrick 1 Xie, Xi-Yang 1 Xie, Zhenxiao all top 5 Cited in 42 Serials 14 Journal of Geometry and Physics 3 Communications in Mathematical Physics 3 Geometriae Dedicata 3 Differential Geometry and its Applications 3 Journal of Theoretical Biology 2 Reports on Mathematical Physics 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 International Journal of Mathematics 2 Complex Analysis and Operator Theory 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 International Journal of Theoretical Physics 1 Nuclear Physics. B 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Geometry 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Physica D 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Izvestiya: Mathematics 1 Nonlinear Dynamics 1 Central European Journal of Mathematics 1 Albanian Journal of Mathematics 1 Journal of Geometric Mechanics 1 Quanta all top 5 Cited in 25 Fields 47 Differential geometry (53-XX) 32 Global analysis, analysis on manifolds (58-XX) 12 Functional analysis (46-XX) 11 Manifolds and cell complexes (57-XX) 10 Operator theory (47-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Quantum theory (81-XX) 7 Algebraic geometry (14-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Topological groups, Lie groups (22-XX) 6 Biology and other natural sciences (92-XX) 5 Partial differential equations (35-XX) 4 \(K\)-theory (19-XX) 3 History and biography (01-XX) 3 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year