Frédéric Bourgeois
Du patinage et de l'optique à la géométrie de contact
Référence 6 Version 1 Date 21/01/2013
Notes

Numéro

   

Note

1

   

S. Lie, Zur Theorie partieller Differentialgleichungen, Göttinger Nachrichten 1872, pp. 480 ff.

   

2

   

G. Reeb, Trois problèmes de la théorie des systèmes dynamiques, Colloque Géom. Diff. Globale (Bruxelles, 1958), Centre Belge Rech. Math., Louvain (1959), 89-94.

   

3

   

J. Gray, Some global properties of contact structures, Annals of Math. (2) 69 (1959), 421-450.

   

4

   

J. Martinet, Formes de contact sur les variétés de dimension 3, in: Proc. Liverpool Singularities Sympos. II, Lecture Notes in Math. 209, Springer, Berlin (1971), 142-163.

   

5

   

R. Lutz, Sur l’existence de certaines formes différentielles remarquables sur la sphère S3, C. R. Acad. Sci. Paris Sér. A-B 270 (1970), A1597-A1599.

   

6

   

M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307-347.

   

7

   

Y. Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. Math. 98 (1989), no. 3, 623-637.

   

8

   

H. Hofer, Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), no. 3, 515–563.

   

9

   

E. Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991), no. 4, 637-677.

   

10

   

E. Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000), no. 3, 615-689.

   

11

   

K. Honda, On the classification of tight contact structures I, Geom. Topol. 4 (2000), 309-368.

   

12

   

J. Martinet, Formes de contact sur les variétés de dimension 3, in: Proc. Liverpool Singularities Sympos. II, Lecture Notes in Math. 209, Springer, Berlin (1971), 142-163.

   

13

   

F. Bourgeois, Odd dimensional tori are contact manifolds, Int. Math. Res. Not., 2002 No. 30, 1571-1574.

   

14

   

Y. Eliashberg, Contact 3-manifolds twenty years since J. Martinet’s work, Ann. Inst. Fourier (Grenoble) 42 (1992), 165-192.

   

15

   

E. Giroux, Une structure de contact, même tendue est plus ou moins tordue. Ann. Scient. Ec. Norm. Sup. 27 (1994), 697-705.

   

16

   

I. Ustilovsky, Infinitely many contact structures on S4m+1, Int. Math. Res. Notices 14 (1999), 781-791.

   

17

   

F. Bourgeois. A Morse-Bott approach to contact homology. PhD thesis, Stanford University, 2002.

   

18

   

A. Weinstein, On the hypotheses of Rabinowitz’ periodic orbit theorem, J. Differential Equations 33 (1979), 353-358.

   

19

   

H. Hofer, Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), no. 3, 515-563.

   

20

   

Y. Eliashberg, A. Givental, H. Hofer, Introduction to Symplectic Field Theory, Geom. Funct. Anal., Special Volume (2000), Part II, 560-673.

   

21

   

C. Taubes, The Seiberg-Witten equations and the Weinstein conjecture, Geom. Topol. 11 (2007), 2117-2202.

   

22

   

F. Bourgeois, T. Ekholm, Y. Eliashberg, Effect of Legendrian surgery, Geom. Topol. 16 (2012), 301-389.