Algebraic & Geometric Topology Volume 5, issue 2 (2005)

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Tight contact structures on Seifert manifolds over

$T^2$ with one singular fibre

Paolo Ghiggini

Algebraic & Geometric Topology 5 (2005) 785–833

DOI: 10.2140/agt.2005.5.785

Bibliography

1	B Aebischer, M Borer, M Kälin, C Leuenberger, H M Reimann, Symplectic geometry, Progress in Mathematics 124, Birkhäuser Verlag (1994) MR1296462
2	V Colin, Une infinité de structures de contact tendues sur les variétés toroïdales, Comment. Math. Helv. 76 (2001) 353 MR1839351
3	V Colin, E Giroux, K Honda, Notes on the isotopy finiteness arXiv:math.GT/0305210
4	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
5	F Ding, H Geiges, Symplectic fillability of tight contact structures on torus bundles, Algebr. Geom. Topol. 1 (2001) 153 MR1823497
6	F Ding, H Geiges, A Legendrian surgery presentation of contact 3–manifolds, Math. Proc. Cambridge Philos. Soc. 136 (2004) 583 MR2055048
7	Y Eliashberg, Classification of overtwisted contact structures on 3–manifolds, Invent. Math. 98 (1989) 623 MR1022310
8	Y Eliashberg, Contact 3–manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
9	J B Etnyre, Legendrian and transversal knots, from: "Handbook of knot theory", Elsevier B. V., Amsterdam (2005) 105 MR2179261
10	J B Etnyre, Introductory lectures on contact geometry, from: "Topology and geometry of manifolds (Athens, GA, 2001)", Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 81 MR2024631
11	J B Etnyre, K Honda, On the nonexistence of tight contact structures, Ann. of Math. $(2)$ 153 (2001) 749 MR1836287
12	A T Fomenko, S V Matveev, Algorithmic and computer methods for three-manifolds, Mathematics and its Applications 425, Kluwer Academic Publishers (1997) MR1486574
13	P Ghiggini, S Schönenberger, On the classification of tight contact structures, from: "Topology and geometry of manifolds (Athens, GA, 2001)", Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 121 MR2024633
14	P Ghiggini, P Lisca, A I Stipsicz, Classification of tight contact structures on small Seifert 3–manifolds with $e_0\geq 0$ , Proc. Amer. Math. Soc. 134 (2006) 909 MR2180909
15	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
16	E Giroux, Topologie de contact en dimension 3 (autour des travaux de Yakov Eliashberg), Astérisque (1993) 3, 7 MR1246390
17	E Giroux, Une structure de contact, même tendue, est plus ou moins tordue, Ann. Sci. École Norm. Sup. $(4)$ 27 (1994) 697 MR1307678
18	E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
19	E Giroux, Structures de contact sur les variétés fibrées en cercles audessus d'une surface, Comment. Math. Helv. 76 (2001) 218 MR1839346
20	R E Gompf, Handlebody construction of Stein surfaces, Ann. of Math. $(2)$ 148 (1998) 619 MR1668563
21	A Hatcher, Notes on basic 3–manifold topology
22	K Honda, On the classification of tight contact structures I, Geom. Topol. 4 (2000) 309 MR1786111
23	K Honda, On the classification of tight contact structures II, J. Differential Geom. 55 (2000) 83 MR1849027
24	K Honda, Factoring nonrotative $T^2{\times}I$ layers, Geom. Topol. 5 (2001) 925
25	K Honda, Gluing tight contact structures, Duke Math. J. 115 (2002) 435 MR1940409
26	K Honda, W H Kazez, G Matić, Tight contact structures and taut foliations, Geom. Topol. 4 (2000) 219 MR1780749
27	K Honda, W H Kazez, G Matić, Tight contact structures on fibered hyperbolic 3–manifolds, J. Differential Geom. 64 (2003) 305 MR2029907
28	Y Kanda, The classification of tight contact structures on the 3–torus, Comm. Anal. Geom. 5 (1997) 413 MR1487723
29	P Lisca, G Matić, Stein 4–manifolds with boundary and contact structures, Topology Appl. 88 (1998) 55 MR1634563
30	P Lisca, A I Stipsicz, Tight, not semi-fillable contact circle bundles, Math. Ann. 328 (2004) 285 MR2030378
31	P Orlik, Seifert manifolds, Lecture Notes in Mathematics 291, Springer (1972) MR0426001
32	H Wu, Tight contact small Seifert spaces with $e_0{\neq}0,-1,-2$ arXiv:math.GT/0402167