Properties of pseudoholomorphic curves in symplectisations. I : asymptotics

H. Hofer; K. Wysocki; E. Zehnder

Annales de l'I.H.P. Analyse non linéaire (1996)

  • Volume: 13, Issue: 3, page 337-379
  • ISSN: 0294-1449

How to cite

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Hofer, H., Wysocki, K., and Zehnder, E.. "Properties of pseudoholomorphic curves in symplectisations. I : asymptotics." Annales de l'I.H.P. Analyse non linéaire 13.3 (1996): 337-379. <http://eudml.org/doc/78386>.

@article{Hofer1996,
author = {Hofer, H., Wysocki, K., Zehnder, E.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {pseudoholomorphic curves; dynamics of the Reeb vector field},
language = {eng},
number = {3},
pages = {337-379},
publisher = {Gauthier-Villars},
title = {Properties of pseudoholomorphic curves in symplectisations. I : asymptotics},
url = {http://eudml.org/doc/78386},
volume = {13},
year = {1996},
}

TY - JOUR
AU - Hofer, H.
AU - Wysocki, K.
AU - Zehnder, E.
TI - Properties of pseudoholomorphic curves in symplectisations. I : asymptotics
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1996
PB - Gauthier-Villars
VL - 13
IS - 3
SP - 337
EP - 379
LA - eng
KW - pseudoholomorphic curves; dynamics of the Reeb vector field
UR - http://eudml.org/doc/78386
ER -

References

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  1. [1] C. Abbas and H. Hofer, Holomorphic Curves and Global Questions in Contact Geometry, Nachdiplomvorlesung E.T.H.Z., to appear in Birkhäuser. 
  2. [2] A. Floer and H. Hofer, Symplectic homology I, open sets in Cn, Math. Z., Vol. 215, 1994, pp. 37-88. Zbl0810.58013MR1254813
  3. [3] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math., Vol. 82, 1985, pp. 307-347. Zbl0592.53025MR809718
  4. [4] H. Hofer, Pseudoholomorphic curves in symplectization with applications to the Weinstein conjecture in dimension three, Invent. Math., Vol. 114, 1993, pp. 515-563. Zbl0797.58023MR1244912
  5. [5] H. Hofer, K. Wysocki and E. Zehnder, Properties of pseudoholomorphic curves in symplectisations II: Embedding controls and algebraic invariants, Geometrical and Functional Analysis, Vol. 5, No. 2, 1995, pp. 270-328. Zbl0845.57027MR1334869
  6. [6] H. Hofer, K. Wysocki and E. Zehnder, Properties of pseudoholomorphic curves in symplectisations III: Fredholm theory, preprint. Zbl0924.58003
  7. [7] H. Hofer, K. Wysocki and E. Zehnder, A characterisation of the tight three-sphere, to appear Duke Math. Journal. Zbl0861.57026
  8. [8] H. Hofer, K. Wysocki and E. Zehnder, The dynamics on a strictly convex energy surface in R4, preprint. Zbl0944.37031
  9. [9] H. Hofer and E. Zehnder, Symplectic Invariants and Hamiltonian Dynamics, Birkhäuser Advanced Texts, 1994.. Zbl0805.58003MR1306732
  10. [10] T. Kato, Perturbation theory for linear operators, Springer1966. Zbl0148.12601MR407617
  11. [11] J. Martinet, Formes de contact sur les variétés de dimension 3, Springer Lecture Notes in Math., Vol. 209, 1971, pp. 142-163. Zbl0215.23003MR350771
  12. [12] E. Stein, Singular integrals and differentiability properties of functions, Princeton University Press, 1970. Zbl0207.13501MR290095

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