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References
[AH]C. Abbas, H. Hofer, Holomorphic curves and global questions in contact geometry, to appear in Lectures in Mathematics, ETH Zürich, Birkhäuser.
[Au]Audin et al., Holomorphic Curves in Symplectic Geometry, Progress in Mathematics 117, Birkhäuser, 1994.
[B]D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107–108 (1983), 83–161.
[CFH]K. Cieliebak, A. Floer, H. Hofer, Sympilectic homology II: general symplectic manifolds, to appear in Math. Zeit.
[CoZ]C. Conley, E. Zehnder, An index theory for periodic solutions of a Hamiltonian system, Geometric Dynamics, Springer Lecture Notes in Mathematics 1007 (1983), 132–145.
[E1]Y. Eliashberg, Contact 3-manifolds, twenty year since J. Martinet's work, Ann. Inst. Fourier 42 (1992), 165–192.
[E2]Y. Eliashberg, Filling by holomorphic discs and its applications, London Math. Society Lecture Notes, series 151 (1991), 45–67.
[E3]Y. Eliashberg, Legendrian and transversal knots in tight contact manifolds, In “Topological Methods in Modern Mathematics”, Publish or Perish, 1993.
[FHS]A. Floer, H. Hofer, D. Salamon, Transversality results in the elliptic Morse theory for the action functional, to appear in Duke.
[G]E. Giroux, Convexité en topologie de contact, Comm. Math. Helvetici 66 (1991), 637–677.
[Gr]M. Gromov, Pseudo Holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307–347.
[H]H. Hofer, Pseudo Holomorphic curves in symplectisations with application to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), 515–563.
[HWyZ1]H. Hofer, K. Wysocki, E. Zehnder, A characterization of the tight three-sphere, preprint.
[HWyZ2]H. Hofer, K. Wysocki, E. Zehnder, The dynamics on a strictly convex energy surface inR 4. preprint.
[HWyZ3]H. Hofer, K. Wysocki, E. Zehnder, Properties of pseudo holomorphic curves in symplectisations I: Asymptotics, preprint.
[HWyZ4]H. Hofer, K. Wysocki, E. Zehnder, Properties of pseudo holomorphic curves in symplectisations III: Fredholm theory, preprint.
[HZ]H. Hofer, E. Zehnder, Hamiltonian Dynamics and Symplectic Invariants, Birkhäuser, 1994.
[K]T. Kato, Perturbation Theory for Linear Operators, Springer, grundlehren edition, 1976.
[M]D. McDuff, The local behavior ofJ-holomorphic curves in almost complex 4-manifolds, J. Diff. Geom. 34 (1991), 143–164.
[MS]D. McDuff, D. Salamon, J-holomorphic Curves and Quantum Cohomology, AMS, 1994.
[MiW]M. Micallef, B. White, The structure of branch points in minimal surfaces and in pseudo holomorphic curves, preprint 1994.
[PdM]J. Palis, W. de Melo, Geometric Theory of Dynamical Systems, Springer, Berlin, 1982.
[RS]J. W. Robbin, D. Salamon, The spectral flow and the Maslov index, Journal of the LMS, to appear.
[Ro]D. Rolfson, Knots, Publish or Perish, 1976.
[SZ]D. Salamon, E. Zehnder, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure Appl. Math. 45 (1992), 1303–1360.
[Y]R. Ye, Filling by holomorphic discs in symplectic 4-manifolds, preprint.
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Dedicated to M. Gromov on the occasion of his 50th birthday
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Hofer, H., Wysocki, K. & Zehnder, E. Properties of pseudo-holomorphic curves in symplectisations II: Embedding controls and algebraic invariants. Geometric and Functional Analysis 5, 270–328 (1995). https://doi.org/10.1007/BF01895669
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DOI: https://doi.org/10.1007/BF01895669