An introduction to symplectic topology

Claude Viterbo

Journées équations aux dérivées partielles (1991)

  • page 1-9
  • ISSN: 0752-0360

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Viterbo, Claude. "An introduction to symplectic topology." Journées équations aux dérivées partielles (1991): 1-9. <http://eudml.org/doc/93233>.

@article{Viterbo1991,
author = {Viterbo, Claude},
journal = {Journées équations aux dérivées partielles},
keywords = {Conley-Zehnder fixed point theorem; rigidity properties; Lagrange submanifolds; elliptic operators; symplectic manifolds},
language = {eng},
pages = {1-9},
publisher = {Ecole polytechnique},
title = {An introduction to symplectic topology},
url = {http://eudml.org/doc/93233},
year = {1991},
}

TY - JOUR
AU - Viterbo, Claude
TI - An introduction to symplectic topology
JO - Journées équations aux dérivées partielles
PY - 1991
PB - Ecole polytechnique
SP - 1
EP - 9
LA - eng
KW - Conley-Zehnder fixed point theorem; rigidity properties; Lagrange submanifolds; elliptic operators; symplectic manifolds
UR - http://eudml.org/doc/93233
ER -

References

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  1. [E-H 1] Ekeland, I., Hofer, H., Symplectic topology and Hamiltonian dynamics, Math. Zeitschrift 200 (1989), 355-378. Zbl0641.53035MR90a:58046
  2. [E-H 2] Ekeland, I., Hofer, H., Symplectic topology and Hamiltonian dynamics II, Math. Zeitschrift (to appear). Zbl0729.53039
  3. [Hö] Hörmander, L., Fourier integral operators I, Acta Mathematica 127 (1971), 79-183. Zbl0212.46601MR52 #9299
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  5. [F-P] Fefferman, C.,L., Phong, D.H., The uncertainty principle and sharp Gårding inequalities, Comm. Pure Appl. Math.. 34 (1981), 285-331. Zbl0458.35099MR82j:35140
  6. [Fl 1] Floer,A., The unregularized Gradient Flow of the Symplectic Action, Comm. Pure Appl. Math. 41 (1988), 775-813. Zbl0633.53058MR89g:58065
  7. [Fl 2] Floer,A., Morse Theory for Lagrangian Intersections, Journal of Differential Geometry 28 (1988), 513-547. Zbl0674.57027MR90f:58058
  8. [Fl 3] Floer,A., Symplectic fixed points and Holomorphic spheres, Commun. in Math. Phys. 120 (1988), 575-611. Zbl0755.58022MR90e:58047
  9. [Fl 4] Floer,A., Cuplenght estimates on Lagrangian intersections, Comm. Pure Appl. Math. 42 (1989), 335-357. Zbl0683.58017MR90g:58034
  10. [G1] Gromov,M., Pseudo Holomorphic Curves on almost complex Manifolds, Inventiones Math. 82 (1985), 307-347. Zbl0592.53025MR87j:53053
  11. [G2] Gromov,M., Soft and Hard Symplectic Geometry, in «Proceedings of the International Congress of Mathematicians 1986,» 1987, pp. 81-98. Zbl0664.53016MR89f:53059
  12. [H] Hofer, H., «Private communication.» 
  13. [L-S] Laudenbach,F., Sikorav, J.C., Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent, Inventiones Math. 82 (1985), 349-357. Zbl0592.58023MR87c:58042
  14. [Le] Lelong,P., Intégration sur un ensemble analytique complexe, Bull. Soc. Math. France 85 (1957), 239-262. Zbl0079.30901MR20 #2465
  15. [Si 1] Sikorav, J.C., Sur les immersions lagrangiennes admettant une phase génératrice globale, Comptes Rendus Acad. Sci. Paris (1) 302 (1986), 119-122. Zbl0602.58019MR87h:58070
  16. [Si 2] Sikorav, J.C., Problèmes d'intersection et de points fixes en géométrie Hamiltonienne, Comm. Math. Helv. 62 (1987), 61-72. Zbl0684.58015MR88g:58067
  17. [V 1] Viterbo,C., Intersections de sous-variétés lagrangiennes, fonctionnelles d'action et indice des systèmes hamiltoniens, Bull. Soc. Math. France 115 (1987), 361-390. Zbl0639.58018MR89b:58081
  18. [V 2] Viterbo, C., Capacités symplectiques et applications, Séminaire Bourbaki, Juin 1989, Astérisque (to appear). Zbl0698.53019
  19. [V 3] Viterbo, C., A New obstruction to embedding Lagrangian tori, Inventiones Math. 100 (1990), 301-320. Zbl0727.58015MR91d:58085
  20. [V 4] Viterbo,C., Plongements lagrangiens et capacités symplectiques de tores dans R2n, Comptes Rendus Acad. Sci. Paris 311, Série I (1990), 487-490. Zbl0711.58012MR92c:58041
  21. [V 5] Viterbo, C., Symplectic topology as the geometry of generating functions, Mathematische Annalen (to appear). Zbl0735.58019
  22. [V 6] Viterbo, C., A proof of Weinstein's conjecture in R2n, Annales de l'Institut Henri Poincaré: Analyse non linéaire 4 (1987), 337-356. Zbl0631.58013MR89d:58048

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