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References
Arnold, V.I.: First steps of symplectic topology. Russ. Math. Surv.6, 3–18 (1986)
Cerf, J.: La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie. Publ. Math., Inst. Hautes Étud. Sci.39, 5–173 (1971)
Chaperon, M.: Une idée du type géodésiques brisées pour les systèmes hamiltoniens. C. R. Acad. Sci., Paris298, 293–296 (1984)
Conley, C., Zehnder, E.: Morse type index theory for flows and periodic solutions for Hamiltonian equations. Commun. Pure Appl. Math.37, 207–253 (1984)
Ekeland, I., Hofer, H.: Periodic solutions with prescribed minimal period for convex autonomous systems. Invent. Math.81, 155–188 (1985)
Ekeland, I., Hofer, H.: Symplectic topology and Hamiltonian dynamics. Math. Z.200, 355–378 (1989)
Ekeland, I., Hofer, H.: Symplectic topology and Hamiltonian dynamics II. Math. Z. (to appear)
Eliashberg, Y.: A theorem on the structure of wave front and its applications in symplectic topology. Funct. Anal. Appl.21, 65–72 (1987)
Floer, A.: The unregularized Gradient Flow of the symplectic Action. Commun. Pure Appl. Math. (to appear)
Floer, A.: Morse theory for Lagrangian intersections. J. Differ. Geom. (to appear)
Floer, A., Hofer, H., Viterbo, C.: The proof of Weinstein Conjecture inP×ℂ (to appear)
Giroux, E.: Formes génératrices d'immersions lagrangiennes. C.R. Acad. Sci., Paris, Ser. I306, 761–764 (1988)
Gromov, M.: Pseudo holomorphic curves on almost complex manifolds. Invent. Math.82, 307–347 (1985)
Gromov, M.: Soft and hard symplectic geometry. In: Gleason, A.M. (ed.) Proceedings of the International Congress of Mathematicians 1986, pp. 81–98, Providence, RI Am. Math. Soc. 1987
Hofer, H.: Topological properties of symplectic maps. (Preprint, Ruhr Universität Bochum)
Hörmander, L.: Fourier integral operators I. Acta Math.127, 79–183 (1971)
Latour, F.: Transversales lagrangiennes. Périodicité de Bott et formes génératrices pour une immersion lagrangienne compacte dans un cotangent. Ann. Sci. Éc. Norm. Supér.24, 3–55 (1991)
Laudenbach, F., Sikorav, J.C.: Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent. Invent. Math.82, 349–357 (1985)
Lees, J.A.: Defining Lagrangian immersions by phase functions. Trans. Am. Math. Soc.250, 213–222 (1979)
Sikorav, J.C.: Sur les immersions lagrangiennes admettant une phase génératrice globale. C. R. Acad. Sci., Paris, Sér. I302, 119–122 (1986)
Sikorav, J.C.: Problèmes d'intersection et de points fixes en géométrie Hamiltonienne. Comment. Math. Helv.62, 61–72 (1987)
Viterbo, C.: Intersections de sous-variétés lagrangiennes, fonctionelles d'action et indice des systèmes hamiltoniens. Bull. Soc. Math. Fr.115, 61–72 (1987)
Viterbo, C.: New obstructions to embedding Lagrangian tori. Invent. Math.100, 301–320 (1990)
Viterbo, C.: Capacités symplectiques et applications. In: Séminaire Bourbaki, Juin 89. Astérisque (to appear)
Weinstein, A.: Lectures on symplectic manifolds (Reg. Conf. Ser. Math., no 29) Providence, R.I.: Am. Math. Soc. 1979
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Viterbo, C. Symplectic topology as the geometry of generating functions. Math. Ann. 292, 685–710 (1992). https://doi.org/10.1007/BF01444643
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DOI: https://doi.org/10.1007/BF01444643