Phases génératrices en géométrie symplectique

Marc Chaperon

Recherche Coopérative sur Programme n°25 (1990)

  • Volume: 41, page 191-197

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Chaperon, Marc. "Phases génératrices en géométrie symplectique." Recherche Coopérative sur Programme n°25 41 (1990): 191-197. <http://eudml.org/doc/274940>.

@article{Chaperon1990,
author = {Chaperon, Marc},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
pages = {191-197},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Phases génératrices en géométrie symplectique},
url = {http://eudml.org/doc/274940},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Chaperon, Marc
TI - Phases génératrices en géométrie symplectique
JO - Recherche Coopérative sur Programme n°25
PY - 1990
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 41
SP - 191
EP - 197
LA - fre
UR - http://eudml.org/doc/274940
ER -

References

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  1. [1] V. I. Arnold, Sur une propriété topologique des applications globalement canoniques de la mécanique classique, C. R. Acad. Sc.Paris261 (1965), Groupe 1, 3719-3722. Zbl0134.42305MR193645
  2. [2] V. I. Arnold, Méthodes mathématiques de la mécanique classique, Mir, Moscou, 1976. Zbl0385.70001
  3. [4] M. Chaperon, Une idée du type "géodésiques brisées" pour les systèmes hamiltoniens, C. R. Acad. Sc.Paris t. 298 (1984) série A, 293-296. Zbl0576.58010MR765426
  4. [5] M. Chaperon, An elementary proof of the Conley-Zehnder theorem in symplectic geometry, dans Braaksma, Broer et Takens, Dynamical systems and bifurcations, SpringerLecture Notes in Mathematics1125 (1985), 1-8. Zbl0563.58014MR798078
  5. [6] C. C. Conley, E. Zehnder, The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnol'd, Invent. math.73 (1983), pp. 33-49. Zbl0516.58017MR707347
  6. [7] A. Floer, Morse theory for lagrangian intersections, J. Diff. Geom.28 (1988), 513-547. Zbl0674.57027MR965228
  7. A. Floer, The unregularized gradient flow of the symplectic actionComm. in pure and appl. math.41 (1988), 775-813. Zbl0633.53058MR948771
  8. A. Floer, A relative Morse index for the symplectic action, Comm. in pure and appl. math.41 (1988), 393-407. Zbl0633.58009MR933228
  9. A. Floer, Witten's complex and infinite dimensional Morse theory, J. Diff. Geom.30 (1989), 207-221. Zbl0678.58012MR1001276
  10. A. Floer, Cuplength estimates for Lagrangian intersections, Comm. in pure and appl. math.42 (1989), 335-356. Zbl0683.58017MR990135
  11. [8] H. Hofer, Lagrangian embeddings and critical point theory, Ann. Inst. H. Poincaré, Analyse non linéaire, Vol. 2 n° 6 (1985), 407-462. Zbl0591.58009MR831040
  12. [9] F. Laudenbach, J. C. Sikorav, Persistance d'intersection avec la section nulle..., Invent. math. Vol. 82 (1985), 349-357. Zbl0592.58023MR809719
  13. [10] J. C. Sikorav, Problèmes d'intersections et de points fixes en géométrie hamiltonienne, Comm. math. Helvet. Vol. 62 No 1 (1987), 62-73. Zbl0684.58015MR882965

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