Isotropic characteristic classes

Jean-Marie Morvan; Louis Niglio

Compositio Mathematica (1994)

  • Volume: 91, Issue: 1, page 67-89
  • ISSN: 0010-437X

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Morvan, Jean-Marie, and Niglio, Louis. "Isotropic characteristic classes." Compositio Mathematica 91.1 (1994): 67-89. <http://eudml.org/doc/90283>.

@article{Morvan1994,
author = {Morvan, Jean-Marie, Niglio, Louis},
journal = {Compositio Mathematica},
keywords = {symplectic algebraic topology; symplectic vector bundle; obstructions to deforming subbundle; isotropic submanifolds; isotropic subbundles; Maslov class; Lagrangian Grassmannian; de Rham cohomology; isotropic Grassmann manifold; Gauss map of an immersion; curvature; Chern-Weil theory},
language = {eng},
number = {1},
pages = {67-89},
publisher = {Kluwer Academic Publishers},
title = {Isotropic characteristic classes},
url = {http://eudml.org/doc/90283},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Morvan, Jean-Marie
AU - Niglio, Louis
TI - Isotropic characteristic classes
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 1
SP - 67
EP - 89
LA - eng
KW - symplectic algebraic topology; symplectic vector bundle; obstructions to deforming subbundle; isotropic submanifolds; isotropic subbundles; Maslov class; Lagrangian Grassmannian; de Rham cohomology; isotropic Grassmann manifold; Gauss map of an immersion; curvature; Chern-Weil theory
UR - http://eudml.org/doc/90283
ER -

References

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  3. [Fu] D.R. Fucks, Maslov Arnold Characteristic classes, Soviet Math. Dokl.Vol. 9 (1968) 1. Zbl0175.20304MR225340
  4. [G-H-V] W. Greub, S. Halperin and R. Vanstone, Connection, Curvature and Cohomology, Academic Press. Zbl0322.58001
  5. [K-N] S. Kobayashi and N. Nomizu, Foundations of Differential Geometry, Interscience Publishers. Zbl0119.37502
  6. [La] F. Lalonde, Classes caractéristiques isotropes, Math. Annalen, 285 (1989), 343-351). Zbl0662.55009MR1016099
  7. [Le] D. Lehmann, J.-homotopic dans les espaces de connexion et classes exotiques de Chern-Simons, C. R. Acad. Sciences, Paris275 (1972) A835-838. Zbl0242.57010MR321104
  8. [Mo 1] J.M. Morvan, Classe de Maslov d'une sous-variété Lagrangienne et minimalité, C. R. Acad. Sci., Paris292 (1981), 633-636. Zbl0466.53030MR625362
  9. [Mo 2] J.M. Morvan, Quelques invariants topologiques en géométrie symplectique, Ann. Institut H. Poincarré, Vol. 38, No. 14 (1983), 349-370. Zbl0521.53040MR714023
  10. [Mo 3] J.M. Morvan, Classes caractéristiques des sous-variétés isotropes, C. R. Acad. Sci., Paris308 (1989), 269-272. Zbl0679.57010MR988234
  11. [M-N 1] J.M. Morvan and L. Niglio, Classes caractéristiques des couples de sous-fibrés Lagrangiens, Ann. Inst. Fourier, 37(2) (1986), 193-209. Zbl0578.55010MR850751
  12. [M-N 2] J.M. Morvan and L. Niglio, Une remarque sur la dernière classe de Maslov, Séminaire Gaston Darboux, Montpellier (1988). Zbl0679.57009
  13. [Ni] L. Niglio, Classes caractéristiques d'un couple de sous fibrés isotropes, C.R. Acad. Sci., Paris318 (1991) 859-963. Zbl0748.57010MR1138565
  14. [Va] I. Vaisman, Symplectic geometry and secondary characteristic classes, Progress in Mathematics, Birkhäuser. Zbl0629.53002MR932470

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