James F. Glazebrook

JOURNAL ARTICLES   (bottom of page)
  1. Harmonic maps of Riemann surfaces to indefinite complex hyperbolic and projective spaces (with S. Erdem), Proc. London Math. Soc. (3) 47 (1983) 547-562.
  2. Harmonic maps of Riemann surfaces to indefinite complex Grassmannians and the classical domains, Proc. London Math. Soc. (3) 48 (1983) 108-120.
  3. The construction of a class of harmonic maps to quaternionic projective space, J. London Math. Soc. (2) 30 (1984) 151-159.
  4. On the generalized Riemann-Hurwitz formula, (with S. Gitler and A. Verjovsky), Bol. Soc. Mat. Mexicana, 30 No. 2 (1985) 1-11.
  5. On isotropic harmonic maps to real and quaternionic Grassmannians, AMS Contemporary Mathematics, 49 (1986) 51-61.
  6. Harmonic maps of Riemann surfaces to quaternionic projective spaces and Grassmannians, AMS Contemporary Mathematics, 58 (1987) 107-121 (Proceedings of The Lefschetz Centenary Conference Part III).
  7. Nil Instantons Associated with the classical torus CP2 model, (with J. Chargoy-Corona), Letters in Mathematical Physics,15 (1988) 213-217.
  8. On linear systems and higher dimensional gauge fields, Reports on Mathematical Physics, 25 (1988), No. 2 141-147.
  9. Residual circuits in generalized monoidal transformations, (with A. Verjovsky), Bol. Soc. Mat. Mexicana, 33, No. 1 (1988), 19-25.
  10. An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity, Proceedings of the American Mathematical Society, 107 (1989) No. 1, 261-269.
  11. Pluriharmonic maps of compact Kähler manifolds to quaternionic projective space, Tensor, 48, No. 2, (1989) 143-148.
  12. A note on families of Dirac operators, Reports on Mathematical Physics, 27, No. 3, (1989) 345-348.
  13. Harmonic maps between complex projective space, (with D. Barbasch and G. Toth), Geometriae Dedicata, 33, (1990) 37-50.
  14. Strings, harmonic maps and hyperbolic systems, Computers and Mathematics with Applications, special volume on 'Advances in Partial Differential Equations', 19, No. 819, (1990) 117-125.
  15. Submanifolds of the Cayley projective plane with bounded second fundamental form, (with P. Coulton), Geometriae Dedicata, 33, (1990) 265-275.
  16. On spectral flow of transversal Dirac operators and a theorem of Vafa-Witten, (with F. W. Kamber), Ann. Global Anal. Geom., 9, No. 1 (1991) 27-35.
  17. Galois representations on holomorphic differentials, (with D. Grayson and P. R. Hewitt), Communications in Algebra, 19, (5) (1991) 1375-1386.
  18. Transversal Dirac Families in Riemannian foliations, (with F. W. Kamber), Communications in Mathematical Physics, 140, (1991) 217-240.
  19. Determinant line bundles for Hermitian foliations and a generalized Quillen metric, (with F. W. Kamber), AMS Symp. in Pure Math.,52, (1991), Part 2, 225-232.
  20. On pluriharmonic maps to quaternionic projective space and totally complex immersions, (with G. Ronsse), Tensor, 51, (1992) 48-51.
  21. Deformations of foliated quaternionic structures and the twistor correspondence, (with D. Sundararaman), Adem Memorial Volume, Bol. Soc. Mat. Mexicana 37 (1992) 177-187.
  22. Chiral anomalies and Dirac families in Riemannian foliations, (with F. W. Kamber), AMS Symp. Pure. Math., 54, (1993), Part 2,  271-286.
  23. Secondary invariants and chiral anomalies of transversal Dirac families, (with F. W. Kamber), Differential Geometry and its Applications,3, (1993) 285-299.
  24. Holomorphic maps of constrained energy density between Kähler manifolds, (with H. Gauchman), Geometriae Dedicata, 52, (1994) 221-226.
  25. Foliation reduction and self-duality, (with F. W. Kamber, H. Pedersen and A. F. Swann), Geometric Study of Foliations, World Scientific Press, Singapore (1994) 219-249.
  26. Index formulas for geometric Dirac operators in Riemannian foliations, (with R. G. Douglas, F. W. Kamber and G. Yu), K-Theory, 9, (1995) 407-441.
  27. Stochastic processes and probabilistic differential geometry, Proc. of Advances in Scientific Computing and Modeling, (1996) 52-56.
  28. On deformations of self-dual vector bundles over quaternionic manifolds, (with D. Sundararaman), Advanced Studies in Pure Mathematics, 25, 'CR-Geometry and Overdetermined Systems', (1997) 141-157.
  29. A new look at the vortex equations and dimensional reduction, (with S. Bradlow and F. W. Kamber), in 'Geometry, Topology and Physics', Walter de Gruyter & Co., Berlin (1997) 83-106.
  30. Smooth parametrization of subspaces of a Banach space, (with M. J. Dupré and J.-C. Evard), Rev. Un. Mat. Argentina, 41 No. 2 (1998)  1--13.
  31. Reduction of the Hermitian-Einstein equation on Kählerian fiber bundles, (with S. Bradlow and F. W. Kamber), Tohoku Math. J.,51, (1999) 81--123.
  32. Infinite dimensional manifold structures on principal bundles, (with M. J. Dupré), Journal of Lie Theory, 10, (2000) 359--373.
  33. The Hitchin--Kobayashi correspondence for twisted triples, (with S. Bradlow and F. W. Kamber), International Journal of Mathematics,11, No. 4 (2000) 493--508.
  34. Dimensional reduction of the perturbed Hermitian-Einstein equation, (with S. Bradlow and F. W. Kamber). Proceedings Volume of the Conference of Geometry and Its Applications in Technology and The Workshop on Global Analysis, Differential Geometry and Lie Algebras, 1999, Ed. Gr. Tsagas, Balkan Society of Geometers, Balkan Geometry Press  Bucharest 2001, 43--62.
  35. The Stiefel bundle of a Banach algebra   (with M. J. Dupré ), Integral Equations and Operator Theory, 41, No. 3 (2001)  264--287.
  36. Holomorphic framings for projections in a Banach algebra, (with M. J. Dupré ), Georgian Math. J.  9   No. 3 (2002)  481-494.
  37. Connections, local subgroupoids, and a holonomy Lie groupoid of a line bundle gerbe  (with R. Brown),  Univ. Iagel. Acta Math.   Fasc. XL1  (2003); 425-448..
  38.  A Fourier-Mukai transform for real torus bundles (with M. Jardim and F. W. Kamber) J. Geom. Phys. 50   (2004)  360-392.
  39. Relative inversion and embeddings , (with M. J. Dupré ), Georgian  Math. J. 11   No. 3 (2004)  425-448.
  40. A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators , (with M. J. Dupré and E. Previato ), Acta Applicandae Math.92   No. 3 (2006)  241-267.
Papers in relational biology
  • Complex nonlinear biodynamics in categories, higher dimensional algebra and Lukasiewicz-Moisil topos: Transformation of neural, genetic and neoplastic networks , (with I. C. Baianu, R. Brown and G. Georgescu), Axiomathes   16  (2006)  65-122.
  • Neuronic system inside neurons: molecular biology and biophysics of neuronal microtubules , (with D. Georgiev and S. Papaioanou), Biomed. Rev.   15  (2004)  67-75.
  • Dissipationless waves for information transfer in neurobiology-some implications , (with D. Georgiev), Informatica   30  (2006)  221-232.

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