Classes isotropes et classes de Maslov

Louis Niglio

Annales de la Faculté des sciences de Toulouse : Mathématiques (1995)

  • Volume: 4, Issue: 3, page 633-654
  • ISSN: 0240-2963

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Niglio, Louis. "Classes isotropes et classes de Maslov." Annales de la Faculté des sciences de Toulouse : Mathématiques 4.3 (1995): 633-654. <http://eudml.org/doc/73361>.

@article{Niglio1995,
author = {Niglio, Louis},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {characteristic classes; symplectic vector bundle; isotropic; Maslov class},
language = {fre},
number = {3},
pages = {633-654},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Classes isotropes et classes de Maslov},
url = {http://eudml.org/doc/73361},
volume = {4},
year = {1995},
}

TY - JOUR
AU - Niglio, Louis
TI - Classes isotropes et classes de Maslov
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1995
PB - UNIVERSITE PAUL SABATIER
VL - 4
IS - 3
SP - 633
EP - 654
LA - fre
KW - characteristic classes; symplectic vector bundle; isotropic; Maslov class
UR - http://eudml.org/doc/73361
ER -

References

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  2. [CS] Chern ( S.S.) et Simons ( J.) .— Characteristic forms and geometric invariants, Ann. of Math.99 (1974), pp. 48-69, Zbl0283.53036MR353327
  3. [Fu] Fucks ( D.R.) .— Maslov Arnold characteristic classes, Soviet. Math. Dokl.9, n° 1 (1968). Zbl0175.20304
  4. [GHV] Greub ( W.), Halperin ( S.) et Vanstone ( R.) .— Connection, curvature and cohomology, Academic Press1972. Zbl0322.58001MR336650
  5. [KT] Kamber ( F.W.) et Tondeur ( P.) .— Foliated bundles and characteristic classes, Lecture Notes in MathematicsSpringer-Verlag1975. Zbl0308.57011MR402773
  6. [KN] Kobayashi ( S.) et Nomizu ( N.) .— Foundations of differential geometry, Interscience Publishers1969. Zbl0175.48504
  7. [La] Lalonde ( F.) .— Classes caracteristiques isotropes, Math. Annalen.285 (1989), pp. 343-351. Zbl0662.55009MR1016099
  8. [Le] Lehmann ( D.) .— J-Homotopie dans les espaces de connexion et de classes exotiques de Chern-Simons, C.R. Acad. SciencesParis275 A (1972), pp. 835-838. Zbl0242.57010MR321104
  9. [Mo1] Morvan ( J.-M.) .— Classe de Maslov d'une sous-variété lagrangienne et minimalité, C.R. Acad. Sci.Paris292 (1981), pp. 633-636. Zbl0466.53030MR625362
  10. [Mo2] Morvan ( J.-M.) .— Quelques invariants topologiques en géométrie symplectique, Ann. Institut. H. Poincaré38 n° 14 (1983), pp. 349-370. Zbl0521.53040MR714023
  11. [Mo3] Morvan ( J.-M.) .— Classes caractéristiques des sous-variétés isotropes, C.R. Acad. Sci.Paris308 (1989), pp. 269-272. Zbl0679.57010MR988234
  12. [MN1] Morvan ( J.-M.) et Niglio ( L.) . — Classes caractéristiques des couples de sous-fibrés lagrangiens, Ann. Inst. Fourier37, n° 2 (1986), pp. 193-209. Zbl0578.55010MR850751
  13. [MN2] Morvan ( J.-M.) et Niglio ( L.) .— Une remarque sur la dernière classe de Maslov, Séminaire Gaston Darboux, Montpellier (1988). Zbl0679.57009
  14. [MN3] Morvan ( J.-M.) et Niglio ( L.) .— Isotropic characteristic classes, à paraître (Compositio Mathématica). Zbl0836.57020MR1273927
  15. [Ni1] Niglio ( L.) . — Classes caractéristiques d'un couple de sous-fibrés isotropes, C.R. Acad. Sci.Paris318 (1991), pp. 859-963. Zbl0748.57010MR1138565
  16. [Ni2] Niglio ( L.) . — Cohomologie des espaces homogènes et réduction de groupe structural dans les fibrés principaux, C.R. Acad. Sci.Paris314 (1992), pp. 927-930. Zbl0752.57019MR1168327
  17. [Va] Vaisman ( I.) .— Symplectic geometry and secondary characteristic classes, Progress in Mathematics. Birkäuser1991. Zbl0629.53002MR932470

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