Capacités symplectiques et applications
Séminaire Bourbaki (1988-1989)
- Volume: 31, page 345-362
- ISSN: 0303-1179
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topViterbo, Claude. "Capacités symplectiques et applications." Séminaire Bourbaki 31 (1988-1989): 345-362. <http://eudml.org/doc/110115>.
@article{Viterbo1988-1989,
author = {Viterbo, Claude},
journal = {Séminaire Bourbaki},
keywords = {width construction; pseudoholomorphic curves; Ekeland-Hofer capacities; Hamiltonian systems; symplectic diffeomorphisms},
language = {fre},
pages = {345-362},
publisher = {Société Mathématique de France},
title = {Capacités symplectiques et applications},
url = {http://eudml.org/doc/110115},
volume = {31},
year = {1988-1989},
}
TY - JOUR
AU - Viterbo, Claude
TI - Capacités symplectiques et applications
JO - Séminaire Bourbaki
PY - 1988-1989
PB - Société Mathématique de France
VL - 31
SP - 345
EP - 362
LA - fre
KW - width construction; pseudoholomorphic curves; Ekeland-Hofer capacities; Hamiltonian systems; symplectic diffeomorphisms
UR - http://eudml.org/doc/110115
ER -
References
top- [Ar1] Arnold, V.I., The one dimensional cohomology of the Lie algebra of divergence free vector fields and the winding number of dynamical systems, Funct. Analysis and applications3 (4) (1969), 77-78. MR263101
- [Ar2] Arnold, V.I., First steps in symplectic topology, Russian Math. Surveys41(6) (1986), 1-21. Zbl0649.58010MR890489
- [Be] Bennequin, D., Problèmes elliptiques surfaces de Riemann et structures symplectiques, Séminaire Bourbaki1985-1986, Exposé 657, Astérisque138 (1985-86),. Zbl0644.53031MR880029
- [B-L] Bourguignon, J.P., Lawson, H.B., Formules de variation de l'aire, Surfaces minimales, séminaire de Palaiseau1983-1984, Astérisque154-155 (1987), 51-71. Zbl0635.53034MR955059
- [C] Calabi, E., On the group of automorphism of a symplectic manifold, Problems in Analysis, A Symposium in Honor of S. Bochner, Princeton University Press, Princeton N.J.. Zbl0209.25801MR350776
- [Ch] Chaperon, M., Quelques questions de Géométrie sympplectique, Séminaire Bourbaki1982-1983, Astérisque105-106 (1982-83), 231-249. Zbl0525.53049MR728991
- [C-Z] Conley, C., Zehnder, E., Morse type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math.37 (1984), 207-253. Zbl0559.58019MR733717
- [E-H 1] Ekeland, I., Hofer, H., Symplectic topology and Hamiltonian dynamics, Math. Z.200 (1989), 355-378. Zbl0641.53035MR978597
- [E-H 2] Ekeland, I., Hofer, H., Symplectic topology and Hamiltonian dynamics II, (à paraître), Math. Z.. Zbl0641.53035MR1044064
- [El1] Eliashberg, Y., A theorem on the structure of wave fronts and its applications to symplectic topology, Funct. Analysis and applications (Edition en anglais) 21 (3) (1987), 227-232. Zbl0655.58015MR911776
- [El2] Eliashberg, Y., Classification of overtwisted contact structures on 3-manifolds, (à paraître), Inventiones Math.. Zbl0684.57012
- [F-R] Fadell, E.R., Rabinowitz, P.H., Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems, Inventiones. Math.45 (1978), 139-174. Zbl0403.57001MR478189
- [Fl 1] Floer, A., The unregularized Gradient Flow of the Symplectic Action, Comm. Pure Appl. Math.41 (1988), 775-813. Zbl0633.53058MR948771
- [Fl 2] Floer, A., Morse Theory for Lagrangian Intersections, Journal of Differential Geometry28 (1988), 513-547. Zbl0674.57027MR965228
- [Fl 3] Floer, A., Symplectic fixed points and Holomorphic spheres, Commun. in Math. Phys.120 (1988), 575-611. Zbl0755.58022MR987770
- [F-H] Floer, A., Hofer, H., Travail en préparation.
- [F-H-V] Floer, A. Hofer, H. Viterbo, C., The Proof of Weinstein Conjecture in P x C, (à paraître), Math. Z.. Zbl0666.58019
- [G1] Gromov, M., Pseudo Holomorphic Curves in symplectic Manifolds, Inventiones Math.82 (1985), 307-347. Zbl0592.53025MR1554036
- [G2] Gromov, M., Soft and Hard Symplectic Geometry, in "Proceedings of the International Congress of Mathematicians 1986," 1987, pp. 81-98. Zbl0664.53016MR934217
- [He] Hermann, M., Communication personnelle.
- [Ho] Hofer, H.,, On the topological properties of symplectic maps, manuscrit (1989). MR1059642
- [H-V 1] Hofer, H., Viterbo, C., The Weinstein conjecture for Cotangent Bundles and related Results, Annali Scuola Normale Superiore Pisa (to appear). Zbl0697.58044
- [H-V 2] Hofer, H., Viterbo, C., The Weinstein conjecture for compact manifolds and applications, (à paraître),.
- [H-Z 1] Hofer, H., Zehnder, E., Periodic Solutions on Hypersurfaces and a Result by C. Viterbo, Inventiones Math.90 (1987), 1-9. Zbl0631.58022MR906578
- [H-Z 2] Hofer, H., Zehnder, E., A new capacity for symplectic manifolds, Inventiones Math.90 (1987), 1-9. Zbl0631.58022MR906578
- [Le] Lelong, P., Intégration sur un ensemble analytique complexe, Bull. Soc. Math. France85 (1957), 239-262. Zbl0079.30901MR95967
- [Lc] "L'Evangile selon Saint Luc," traduction J. Grosjean et M. Léhermy, Gallimard, Paris, 1971.
- [Mt] "L'Evangile selon Saint Matthieu," traduction J. Grosjean et M. Léhermy, Gallimard, Paris, 1971.
- [Mc] "L'Evangile selon Saint Marc," traduction J. Grosjean et M. Léhermy, Gallimard, Paris, 1971.
- [MD] McDuff, D., Blow-ups and symplectic embeddings in dimension 4, preprint M.S.R.I. (1988). MR1113685
- [P] Pansu, P., Notes sur les pages 316 à 323 de l'article de M. Gromov "Pseudoholomorphic curves in symplectic manifolds", preprint Ecole Polytechnique (1986).
- [V1] Viterbo, C., A proof of Weinstein's conjecture in R2n, Annales de l'Institut Henri Poincaré: Analyse non linéaire4 (1987), 337-356. Zbl0631.58013MR917741
- [V2] Viterbo, C., A new obstructions to embedding Lagrangian tori, (à paraître),. Zbl0727.58015
- [V3] Viterbo, C., Rececent progress in periodic solutions of autonomous hamiltonian systems, (à paraître), Nonlinear functional analysis, P.S. Milojevic ed., Marcel Dekker.
- [We 1] Weinstein, A., Periodic Orbits for Convex Hamiltonian Systems, Ann. of Math108 (1978), 507-518. Zbl0403.58001MR512430
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