Sur la torsion des structures de contact tendues

Vincent Colin

Annales scientifiques de l'École Normale Supérieure (2001)

  • Volume: 34, Issue: 2, page 267-286
  • ISSN: 0012-9593

How to cite

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Colin, Vincent. "Sur la torsion des structures de contact tendues." Annales scientifiques de l'École Normale Supérieure 34.2 (2001): 267-286. <http://eudml.org/doc/82543>.

@article{Colin2001,
author = {Colin, Vincent},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {contact manifold; tight contact structure},
language = {fre},
number = {2},
pages = {267-286},
publisher = {Elsevier},
title = {Sur la torsion des structures de contact tendues},
url = {http://eudml.org/doc/82543},
volume = {34},
year = {2001},
}

TY - JOUR
AU - Colin, Vincent
TI - Sur la torsion des structures de contact tendues
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2001
PB - Elsevier
VL - 34
IS - 2
SP - 267
EP - 286
LA - fre
KW - contact manifold; tight contact structure
UR - http://eudml.org/doc/82543
ER -

References

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  1. [1] Bennequin D, Entrelacements et équations de Pfaff, Astérisque107–108 (1983) 83-161. Zbl0573.58022
  2. [2] Chekanov Y, Contact disjunction in tight three-manifolds, Preprint, 1999. 
  3. [3] Colin V, Chirurgies d'indice un et isotopies de sphères dans les variétés de contact tendues, C. R. Acad. Sci. Paris, Série I324 (1997) 659-663. Zbl0876.57051MR1447038
  4. [4] Colin V, Recollement de variétés de contact tendues, Bull. Soc. Math. France127 (1999) 101-127. Zbl0930.53053MR1700468
  5. [5] Colin V., Structures de contact tendues sur les variétés toroïdales et approximation de feuilletages sans composante de Reeb, Prépublication 99/11-2 de l'université de Nantes. 
  6. [6] Eliashberg Y, Classification of over-twisted contact structures on 3-manifolds, Invent. Math.98 (1989) 623-637. Zbl0684.57012MR1022310
  7. [7] Eliashberg Y, Contact 3-manifolds, twenty years since J. Martinet's work, Ann. Inst. Fourier42 (1992) 165-192. Zbl0756.53017MR1162559
  8. [8] Eliashberg Y, Filling by holomorphic discs and its applications, London Math. Soc. Lect. Notes Ser.151 (1991) 45-67. Zbl0731.53036MR1171908
  9. [9] Eliashberg Y, Thurston W, Confoliations, Univ. Lect. Ser., 13, 1998. Zbl0893.53001MR1483314
  10. [10] Gabai D, Foliations and the topology of 3-manifolds, J. Differ. Geom.18 (1983) 445-503. Zbl0533.57013MR723813
  11. [11] Giroux E, Convexité en topologie de contact, Comment. Math. Helvetici66 (1991) 18-33. Zbl0766.53028MR1129802
  12. [12] Giroux E, Topologie de contact en dimension 3, Séminaire Bourbaki760 (1992–1993) 1-27. 
  13. [13] Giroux E, Une structure de contact, même tendue est plus ou moins tordue, Ann. Scient. Éc. Norm. Sup.27 (1994) 697-705. Zbl0819.53018MR1307678
  14. [14] Giroux E, Une infinité de structures de contact tendues sur une infinité de variétés, Invent. Math.135 (1999) 789-802. Zbl0969.53044MR1669264
  15. [15] Hempel J., Three Manifolds, Ann. Math. Studies, Princeton Univ. Press. Zbl0345.57001MR415619
  16. [16] Jaco W., Lectures on Three Manifolds Topology, Amer. Math. Soc. Zbl0433.57001
  17. [17] Kanda Y, The classification of tight contact structures on the 3-torus, Commun. Anal. Geom.5 (1997) 413-438. Zbl0899.53028MR1487723
  18. [18] Waldhausen F, On irreducible 3-manifolds which are sufficiently large, Ann. of Math.87 (1968) 56-88. Zbl0157.30603MR224099

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