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Stabilité topologique des structures de contact en dimension 3

Vincent Colin
Source: Duke Math. J. Volume 99, Number 2 (1999), 329-351.
First Page: Show Hide
Primary Subjects: 53D35
Secondary Subjects: 57R17
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077227775
Mathematical Reviews number (MathSciNet): MR1708018
Zentralblatt MATH identifier: 01425243
Digital Object Identifier: doi:10.1215/S0012-7094-99-09912-X

References

[Be] Daniel Bennequin, Entrelacements et équations de Pfaff, Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982), Astérisque, vol. 107, Soc. Math. France, Paris, 1983, pp. 87–161.
Mathematical Reviews (MathSciNet): MR86e:58070
Zentralblatt MATH: 0573.58022
[E1] Y. Eliashberg, Classification of overtwisted contact structures on $3$-manifolds, Invent. Math. 98 (1989), no. 3, 623–637.
Mathematical Reviews (MathSciNet): MR90k:53064
Zentralblatt MATH: 0684.57012
Digital Object Identifier: doi:10.1007/BF01393840
[E2] Yakov Eliashberg, Contact $3$-manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier (Grenoble) 42 (1992), no. 1-2, 165–192.
Mathematical Reviews (MathSciNet): MR93k:57029
Zentralblatt MATH: 0756.53017
[ET] Yakov M. Eliashberg and William P. Thurston, Confoliations, University Lecture Series, vol. 13, American Mathematical Society, Providence, RI, 1998.
Mathematical Reviews (MathSciNet): MR98m:53042
Zentralblatt MATH: 0893.53001
[Gi1] Emmanuel Giroux, Topologie de contact en dimension $3$ (autour des travaux de Yakov Eliashberg), Astérisque (1993), no. 216, Exp. No. 760, 3, 7–33.
Mathematical Reviews (MathSciNet): MR94k:57040
Zentralblatt MATH: 0793.53037
[Gi2] Emmanuel Giroux, Une structure de contact, même tendue, est plus ou moins tordue, Ann. Sci. École Norm. Sup. (4) 27 (1994), no. 6, 697–705.
Mathematical Reviews (MathSciNet): MR96b:57034
Zentralblatt MATH: 0819.53018
[Gr] John W. Gray, Some global properties of contact structures, Ann. of Math. (2) 69 (1959), 421–450.
Mathematical Reviews (MathSciNet): MR22:3016
Zentralblatt MATH: 0092.39301
Digital Object Identifier: doi:10.2307/1970192
[Ka] Yutaka Kanda, The classification of tight contact structures on the $3$-torus, Comm. Anal. Geom. 5 (1997), no. 3, 413–438.
Mathematical Reviews (MathSciNet): MR99c:57054
Zentralblatt MATH: 0899.53028
[Ma] J. Martinet, Formes de contact sur les variétés de dimension $3$, Proceedings of Liverpool Singularities Symposium, II (1969/1970), Springer, Berlin, 1971, 142–163. Lecture Notes in Math., Vol. 209.
Mathematical Reviews (MathSciNet): MR50:3263
Zentralblatt MATH: 0215.23003
[Sc] Sol Schwartzman, Asymptotic cycles, Ann. of Math. (2) 66 (1957), 270–284.
Mathematical Reviews (MathSciNet): MR19,568i
Zentralblatt MATH: 0207.22603
Digital Object Identifier: doi:10.2307/1969999
[T1] William Thurston, The theory of foliations of codimension greater than one, Comment. Math. Helv. 49 (1974), 214–231.
Mathematical Reviews (MathSciNet): MR51:6846
Zentralblatt MATH: 0295.57013
Digital Object Identifier: doi:10.1007/BF02566730
[T2] William P. Thurston, A norm for the homology of $3$-manifolds, Mem. Amer. Math. Soc. 59 (1986), no. 339, i–vi and 99–130.
Mathematical Reviews (MathSciNet): MR88h:57014
Zentralblatt MATH: 0585.57006
[Va] Fernando Varela, Sur une propriété de $C\sp0$-stabilité des formes de contact en dimension $3$, C. R. Acad. Sci. Paris Sér. A-B 280 (1975), Aii, A1225–A1227.
Mathematical Reviews (MathSciNet): MR51:9117
Zentralblatt MATH: 0308.53034
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