Geometry & Topology Volume 9, issue 4 (2005)

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Constructions controlees de champs de Reeb et applications

Vincent Colin and Ko Honda

Geometry & Topology 9 (2005) 2193–2226

DOI: 10.2140/gt.2005.9.2193

Bibliography

1	F Bourgeois, V Colin, Homologie de contact des variétés toroïdales, Geom. Topol. 9 (2005) 299 MR2116317
2	D Calegari, The geometry of $\mathbb{R}$–covered foliations, Geom. Topol. 4 (2000) 457 MR1800151
3	D Calegari, Foliations with one-sided branching, Geom. Dedicata 96 (2003) 1 MR1956833
4	D Calegari, Promoting essential laminations, Invent. Math. 166 (2006) 583 MR2257392
5	V Colin, Chirurgies d'indice un et isotopies de sphères dans les variétés de contact tendues, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997) 659 MR1447038
6	V Colin, Recollement de variétés de contact tendues, Bull. Soc. Math. France 127 (1999) 43 MR1700468
7	V Colin, Sur la torsion des structures de contact tendues, Ann. Sci. École Norm. Sup. $(4)$ 34 (2001) 267 MR1841879
8	V Colin, Chirurgies de Dehn admissibles dans les variétés de contact tendues, Ann. Inst. Fourier (Grenoble) 51 (2001) 1419 MR1860671
9	V Colin, Une infinité de structures de contact tendues sur les variétés toroïdales, Comment. Math. Helv. 76 (2001) 353 MR1839351
10	V Colin, Structures de contact tendues sur les variétés toroïdales et approximation de feuilletages sans composante de Reeb, Topology 41 (2002) 1017 MR1923997
11	V Colin, E Giroux, K Honda, On the coarse classification of tight contact structures, from: "Topology and geometry of manifolds (Athens, GA, 2001)", Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 109 MR2024632
12	V Colin, E Giroux, K Honda, Finitude homotopique et isotopique des structures de contact tendues, in preparation
13	M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Ann. of Math. $(2)$ 125 (1987) 237 MR881270
14	Y Eliashberg, A Givental, H Hofer, Introduction to symplectic field theory, Geom. Funct. Anal. (2000) 560 MR1826267
15	Y M Eliashberg, W P Thurston, Confoliations, University Lecture Series 13, American Mathematical Society (1998) MR1483314
16	S R Fenley, Foliations, topology and geometry of 3–manifolds: $\bold R$-covered foliations and transverse pseudo–Anosov flows, Comment. Math. Helv. 77 (2002) 415 MR1933786
17	S Fenley, L Mosher, Quasigeodesic flows in hyperbolic 3–manifolds, Topology 40 (2001) 503 MR1838993
18	D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
19	D Gabai, Foliations and the topology of 3–manifolds II, J. Differential Geom. 26 (1987) 461 MR910017
20	D Gabai, Foliations and the topology of 3–manifolds III, J. Differential Geom. 26 (1987) 479 MR910018
21	D Gabai, U Oertel, Essential laminations in 3–manifolds, Ann. of Math. $(2)$ 130 (1989) 41 MR1005607
22	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
23	E Giroux, Géométrie de contact: de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, Vol II (Beijing, 2002)", Higher Ed. Press (2002) 405 MR1957051
24	H Hofer, Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993) 515 MR1244912
25	H Hofer, M Kriener, Holomorphic curves in contact dynamics, from: "Differential equations: La Pietra 1996 (Florence)", Proc. Sympos. Pure Math. 65, Amer. Math. Soc. (1999) 77 MR1662750
26	H Hofer, K Wysocki, E Zehnder, Unknotted periodic orbits for Reeb flows on the three-sphere, Topol. Methods Nonlinear Anal. 7 (1996) 219 MR1481697
27	H Hofer, K Wysocki, E Zehnder, Finite energy foliations of tight three-spheres and Hamiltonian dynamics, Ann. of Math. $(2)$ 157 (2003) 125 MR1954266
28	K Honda, Gluing tight contact structures, Duke Math. J. 115 (2002) 435 MR1940409
29	K Honda, W H Kazez, G Matić, Tight contact structures and taut foliations, Geom. Topol. 4 (2000) 219 MR1780749
30	K Honda, W H Kazez, G Matić, Convex decomposition theory, Int. Math. Res. Not. (2002) 55 MR1874319
31	K Honda, W H Kazez, G Matić, On the Gabai–Eliashberg–Thurston theorem, Comment. Math. Helv. 79 (2004) 502 MR2081724
32	S Makar-Limanov, Tight contact structures on solid tori, Trans. Amer. Math. Soc. 350 (1998) 1013 MR1401526
33	L Mosher, Laminations and flows transverse to finite depth foliations I: branched surfaces and dynamics, preprint
34	S P Novikov, The topology of foliations, Trudy Moskov. Mat. Obšč. 14 (1965) 248 MR0200938
35	G Perelman, The entropy formula for the Ricci flow and its geometric applications arXiv:math.DG/0211159
36	G Perelman, Ricci flow with surgery on three-manifolds arXiv:math.DG/0303109
37	G Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds arXiv:math.DG/0307245
38	R Roberts, Taut foliations in punctured surface bundles I, Proc. London Math. Soc. $(3)$ 82 (2001) 747 MR1816696
39	R Roberts, Taut foliations in punctured surface bundles II, Proc. London Math. Soc. $(3)$ 83 (2001) 443 MR1839461
40	S Schwartzman, Asymptotic cycles, Ann. of Math. $(2)$ 66 (1957) 270 MR0088720
41	W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 59 (1986) MR823443
42	W Thurston, Three-manifolds, foliations and circles I arXiv:math.GT/9712268
43	W P Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. $($N.S.$)$ 6 (1982) 357 MR648524