Filling by holomorphic disks with weakly pseudoconvex boundary conditions

Geometric and Functional Analysis

Volumn 7, Issue 3, 1997, Pages 462-495

  Hind, Richard ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031285532     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050016     Document Type: Article

References (23)

1. 2 with prescribed boundary: stability, Annali Scuola Norm. Sup. Pisa IX (1982), 529-570.
2. 2, Amer. Journal of Math. 105 (1983), 975-1009.
3. 2, J. Amer. Math. Soc. 4 (1991), 623-646.
4. D. BENNEQUIN, private communication.
5. C.A. BERENSTEIN, R. GAY, Complex Variables, An Introduction, Springer-Verlag, 1991.
6. E. BISHOP, Differentiable manifolds in complex Euclidean space, Duke Math. Journal 32 (1965), 1-22.
7. E. CARTAN, Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes, I, Ann. Math. Pura Appl. 4:11 (1932), 17-90 (or Oeuvres II, 2, 1231-1304).
8. E. CARTAN, Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes, I, Ann. Math. Pura Appl. 4:11 (1932), 17-90 (or Oeuvres II, 2, 1231-1304).
9. Y. ELIASHBERG, Three lectures on symplectic topology in Cala Gonone, Conference on Differential Geometry and Topology (Sardinia, 1988), Rend. Sem. Fac. Sci. Univ. Cagliari 58 (1988), suppl., 27-49.
10. Y. ELIASHBERG, Filling by holomorphic disks and its applications, London Math. Society Lecture Notes, Series 151 (1991), 45-67.
11. Y. ELIASHBERG, W.P. THURSTON, Confoliations, to appear.
12. D. GABAI, Foliations and Geometry of 3-manifolds, J. Diff. Geometry 18 (1983), 445-503.
13. M. GROMOV, Pseudo-holomorphic curves in symplectic manifolds, Inv. Math. 82 (1985), 307-347.
14. D. KWON, Y. OH, Structure of the image of pseudo-holomorphic disks with totally-real boundary conditions, preprint.
15. F. LABOURIE, (Appendix to) Exemples de courbes pseudo-holomorphic en geometrie Riemannienne, in "Holomorphic Curves in Symplectic Geometry" (M. Audin, J. Lafontaine, eds.), Birkhäuser, 1994, 264-269.
16. D. MCDUFF, The structure of rational and ruled symplectic 4-manifolds, J. Amer. Math. Soc. 3 (1990), 679-712.
17. D. MCDUFF, Singularities and positivity of intersections of J-holomorphic curves, in "Holomorphic Curves in Symplectic Geometry" (M. Audin, J. Lafontaine, eds.), Birkhäuser, 1994, 191-215.
18. M.J. MICALLEF, B. WHITE, The structure of branch points in minimal surfaces and in pseudoholomorphic curves, Annals of Math. 141 (1995), 35-85.
19. P. PANSU, Compactness, in "Holomorphic Curves in Symplectic Geometry" (M. Audin, J. Lafontaine, eds.), Birkhäuser, 1994, 233-249.
20. G.H. REEB, Sur certaines proprietes topologiques des variétés feuilletées, Actualités Sci. Indust., 1183, Hermann, Paris (1952), 91-158.
21. W.P. THURSTON, A norm for the homology of 3-manifolds, Mem. Amer. Math. Soc. 59:339 (1986), 99-130.
22. R. YE, Filling by holomorphic disks in symplectic 4-manifolds, to appear.
23. R. YE, Gromov's compactness theorem for pseudo-holomorphic curves, Trans. Amer. Math. Soc. 342 (1994), 671-694.