References
[A]V.I. Arnold, Mathematical Methods of Classical Mechanics, 2nd Edition, Springer-Verlag, New York (1989).
[C1]M. Chaperon, Une idée du type “géodésiques brisées” pour les systèmes hamiltoniens, C.R. Acad. Sc. Paris t. 298, Série I, n0 13 (1984), 293–296.
[C2]M. Chaperon, Phases génératrices en géométrie symplectique, Publication de l'institut de recherche mathématique avancée, Strasbourg, vol 41 (1989).
[CiFH]K. Cieliebak, A. Floer, H. Hofer, Symplectic homology II: General symplectic manifolds, preprint (1994).
[DNFo]B. Doubrovine, S. Novikov, A. Fomenko, Géométrie Contemporaine: Méthodes et Applications, 3e partie, Méthodes de la théorie de l'homologie, Editions Mir, Moscow (1987).
[EH]I. Ekeland, H. Hofer, Symplectic topology and hamiltonian dynamics II, Math. Z. 203 (1990), 553–567.
[El]Ya. Eliashberg, University of Arkansas Lecture Series on Symplectic Topology, (April 1992).
[ElGr]Ya. Eliashberg, M. Gromov, Convex symplectic manifolds, Proc. Symp. Pure Math 52:2 (1991), 135–162.
[FH]A. Eloer, H. Hofer, Symplectic homology I: Open sets in ℂn, Math. Z. 215: 1 (1994), 37–88.
[FHWy]A. Floer, H. Hofer, K. Wysocki, Applications of symplectic homology I, preprint (1992).
[G]A. Givental, A symplectic fixed point theorem for toric manifolds, to appear in A. Floer Memorial Volume (1992).
[L]S. Lang, Algebra, Third Edition, Addison-Wesley Publishing Company, Reading, MA (1993).
[LaS]F. Laudenbach, J.C. Sikorav, Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent, Invent. Math. 82 (1985), 349–357.
[S]J. C. Sikorav, Sur les immersions lagrangiennes dans un fibré cotangent admettant une phase génétrice globale, C. R. Acad. Sc. Paris t. 302, Série I, n03 (1986), 119–122.
[T]D. Theret, Thèse, Université Denis Diderot (Paris 7), to appear, 1994.
[V]C. Viterbo, Symplectic topology as the geometry of generating functions, Math. Ann. 292:4 (1992), 685–710.
[W]A. Weinstein, Lectures on Symplectic Manifolds, CBMS Reg. Conf. Series in Math. 29, Amer. Math. Soc., Providence, R.I. (1979).
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Research at Mathematical Sciences Research Institute supported by an MSRI postdoctoral fellowship. Research at Stanford supported by an NSF Mathematical Sciences Postdoctoral Research Fellowship. Research at Centre Emile Borel, Institut Henri Poincaré, Paris funded by Ministère des Affaires Etrangères, France.
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Traynor, L. Symplectic homology via generating functions. Geometric and Functional Analysis 4, 718–748 (1994). https://doi.org/10.1007/BF01896659
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DOI: https://doi.org/10.1007/BF01896659