Symplectic homology via generating functions
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Symplectic Homology
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References
- [A]V.I. Arnold, Mathematical Methods of Classical Mechanics, 2nd Edition, Springer-Verlag, New York (1989).Google Scholar
- [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.Google Scholar
- [C2]M. Chaperon, Phases génératrices en géométrie symplectique, Publication de l'institut de recherche mathématique avancée, Strasbourg, vol 41 (1989).Google Scholar
- [CiFH]K. Cieliebak, A. Floer, H. Hofer, Symplectic homology II: General symplectic manifolds, preprint (1994).Google Scholar
- [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).Google Scholar
- [EH]I. Ekeland, H. Hofer, Symplectic topology and hamiltonian dynamics II, Math. Z. 203 (1990), 553–567.Google Scholar
- [El]Ya. Eliashberg, University of Arkansas Lecture Series on Symplectic Topology, (April 1992).Google Scholar
- [ElGr]Ya. Eliashberg, M. Gromov, Convex symplectic manifolds, Proc. Symp. Pure Math 52:2 (1991), 135–162.Google Scholar
- [FH]A. Eloer, H. Hofer, Symplectic homology I: Open sets in ℂn, Math. Z. 215: 1 (1994), 37–88.Google Scholar
- [FHWy]A. Floer, H. Hofer, K. Wysocki, Applications of symplectic homology I, preprint (1992).Google Scholar
- [G]A. Givental, A symplectic fixed point theorem for toric manifolds, to appear in A. Floer Memorial Volume (1992).Google Scholar
- [L]S. Lang, Algebra, Third Edition, Addison-Wesley Publishing Company, Reading, MA (1993).Google Scholar
- [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.Google Scholar
- [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.Google Scholar
- [T]D. Theret, Thèse, Université Denis Diderot (Paris 7), to appear, 1994.Google Scholar
- [V]C. Viterbo, Symplectic topology as the geometry of generating functions, Math. Ann. 292:4 (1992), 685–710.Google Scholar
- [W]A. Weinstein, Lectures on Symplectic Manifolds, CBMS Reg. Conf. Series in Math. 29, Amer. Math. Soc., Providence, R.I. (1979).Google Scholar
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