Unique Holomorphically Fillable Contact Structure on the 3-Torus

International Mathematics Research Notices

Volumn , Issue 2, 1996, Pages 77-82

  Eliashberg, Yasha ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002757664     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792896000074     Document Type: Article

References (16)

1. D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-108 (1983), 87-161.
2. Y. Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. Math. 98 (1989), 623-637.
3. _, Contact 3-manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier, Grenoble 42 (1992), 165-192.
4. _, "Filling by holomorphic discs and its applications" in Geometry of Low-Dimensional Manifolds 2, London Math. Soc. Lecture Note Ser. 151, Cambridge Univ. Press, Cambridge, 1990, 45-67.
5. _, "Legendrian and transversal knots in tight contact 3-manifolds" in Topological Methods in Modern Mathematics, Publish or Perish, Houston, 1993, 171-193.
6. Y. Eliashberg and M. Gromov, "Convex symplectic manifolds" in Several Complex Variables and Complex Geometry, Part 2, Proc. Sympos. Pure Math. 52, Amer. Math. Soc., Providence, 1991, 135-162.
7. Y. Eliashberg and L. Polterovich, New applications of Luttinger's surgery, Comment. Math. Helv. 69 (1994), 512-522.
8. E. Giroux, Une structure de contact, même tendue, est plus ou moins tordue, Ann. Sci. École Norm. Sup. (4) 27 (1994), 697-705.
9. _, Structure de contact en dimension trois et bifurcations des feuilletages de surfaces, preprint, 1995.
10. J. W. Gray, Some global properties of contact structures, Ann. of Math. (2) 69 (1959), 421-450.
11. M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347.
12. 3, preprint, 1995.
13. 4, preprint, 1992.
14. J. D. McCarthy and J. G. Wolfson, Symplectic gluing along hypersurfaces and resolution of isolated singularities, Invent. Math. 119 (1995), 129-154.
15. D. McDuff, Structure of rational and ruled symplectic 4-manifolds, J. Amer. Math. Soc. 3 (1990), 679-712.
16. A. Weinstein, On the hypotheses of Rabinowitz's periodic orbit theorems, J. Differential Equations 33 (1979), 353-358.