Recollement de variétés de contact tendues

Vincent Colin

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 1, page 43-69
  • ISSN: 0037-9484

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Colin, Vincent. "Recollement de variétés de contact tendues." Bulletin de la Société Mathématique de France 127.1 (1999): 43-69. <http://eudml.org/doc/87801>.

@article{Colin1999,
author = {Colin, Vincent},
journal = {Bulletin de la Société Mathématique de France},
keywords = {universal tightness; incompressible torus; surgery along disks and tori; tight contact structures; graph manifold; toroidal homology spheres},
language = {fre},
number = {1},
pages = {43-69},
publisher = {Société mathématique de France},
title = {Recollement de variétés de contact tendues},
url = {http://eudml.org/doc/87801},
volume = {127},
year = {1999},
}

TY - JOUR
AU - Colin, Vincent
TI - Recollement de variétés de contact tendues
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 1
SP - 43
EP - 69
LA - fre
KW - universal tightness; incompressible torus; surgery along disks and tori; tight contact structures; graph manifold; toroidal homology spheres
UR - http://eudml.org/doc/87801
ER -

References

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  3. [Co2] COLIN (V.). — Sur la stabilité, l'existence et l'unicité des structures de contact en dimension 3. — Thèse n° 96 de l'ENS-Lyon, 1998. 
  4. [El1] ELIASHBERG (Y.). — Classification of over-twisted contact structures on 3-manifolds, Inv. Math., t. 98, 1989, p. 623-637. Zbl0684.57012MR90k:53064
  5. [El2] ELIASHBERG (Y.). — Contact 3-manifolds, twenty years since J. Martinet's work, Ann. Inst. Fourier, t. 42, 1992, p. 165-192. Zbl0756.53017MR93k:57029
  6. [El3] ELIASHBERG (Y.). — Filling by holomorphic discs and its applications, London Math. Soc. Lect. Notes Ser., t. 151, 1991, p. 45-67. Zbl0731.53036MR93g:53060
  7. [ElTh] ELIASHBERG (Y.), THURSTON (W.). — Confoliations. — Univ. Lect. Ser., vol. 13, 1998. Zbl0893.53001MR98m:53042
  8. [Ga] GABAI (D.). — Foliations on the topology of 3-manifolds, III, J. Diff. Geom., t. 26, 1987, p. 479-536. Zbl0639.57008MR89a:57014b
  9. [Gi1] GIROUX (E.). — Convexité en topologie de contact, Comment. Math. Helvetici, t. 66, 1991, p. 18-33. Zbl0766.53028MR93b:57029
  10. [Gi2] GIROUX (E.). — Topologie de contact en dimension 3, Sém. Bourbaki, t. 760, 1992-1993, p. 1-27. 
  11. [Gi3] GIROUX (E.). — Une structure de contact, même tendue est plus ou moins tordue, Ann. Scient. École Norm. Sup., t. 27, 1995, p. 697-705. Zbl0819.53018MR96b:57034
  12. [Gi4] GIROUX (E.). — Structures de contact en dimension trois et bifurcations des feuilletages des surfaces, en préparation. 
  13. [Go] GOMPF (R.). — Handlebody construction of Stein surfaces, Ann. Of Math., à paraître. Zbl0919.57012
  14. [He] HEMPEL (J.). — Three manifolds, Ann. Math. Stu., Princeton Univ. Press., t. 86, 1973. MR54 #3702
  15. [Ja] JACO (W.). — Lectures on three manifolds topology, A.M.S., t. 43, 1977. Zbl0433.57001MR81k:57009
  16. [Ka] KANDA (Y.). — The classification of tight contact structures on the 3-torus, Comm. Anal. Geom., t. 5, 1997, p. 413-438. Zbl0899.53028MR99c:57054
  17. [Lu] LUTZ (R.). — Structures de contact sur les fibrés principaux en cercles de dimension 3, Ann. Inst. Fourier, t. 27, 1977, p. 1-15. Zbl0328.53024MR57 #17668
  18. [ML1] MAKAR-LIMANOV (S.). — Morse surgeries of index 0 and 1 on tight manifolds. — preprint, 1996. 
  19. [ML2] MAKAR-LIMANOV (S.). — Tight contact structure on solid tori, Trans. Amer. Math. Soc., t. 1013-1044, 1998 ; CMP 96 : 16. Zbl0894.53036MR98e:53046
  20. [Ma] MARTINET (J.). — Formes de contact sur les variétés de dimension 3, Springer Lect. Notes in Math., t. 209, 1971, p. 142-163. Zbl0215.23003MR50 #3263
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