Algebraic & Geometric Topology Volume 8, issue 1 (2008)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

On tight contact structures with negative maximal twisting number on small Seifert manifolds

Paolo Ghiggini

Algebraic & Geometric Topology 8 (2008) 381–396

DOI: 10.2140/agt.2008.8.381

Bibliography

1	J B Etnyre, Legendrian and transversal knots, from: "Handbook of knot theory", Elsevier B. V., Amsterdam (2005) 105 MR2179261
2	J B Etnyre, K Honda, Knots and contact geometry. I. Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
3	D Gay, A Stipsicz, Symplectic rational blow-down along Seifert fibered 3-manifolds arXiv:math/0703370
4	P Ghiggini, Tight contact structures on Seifert manifolds over $T^2$ with one singular fibre, Algebr. Geom. Topol. 5 (2005) 785 MR2153106
5	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
6	P Ghiggini, P Lisca, A I Stipsicz, Tight contact structures on some small Seifert fibered 3-manifolds, Amer. J. Math. 129 (2007) 1403 MR2354324
7	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
8	E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
9	E Giroux, Structures de contact sur les variétés fibrées en cercles audessus d'une surface, Comment. Math. Helv. 76 (2001) 218 MR1839346
10	E Giroux, Sur les transformations de contact au-dessus des surfaces, from: "Essays on geometry and related topics, Vol. 1, 2" (editors É Ghys, P de la Harpe, V F R Jones, V Sergiescu, T Tsuboi), Monogr. Enseign. Math., Enseignement Math. (2001) 329 MR1929332
11	K Honda, On the classification of tight contact structures. I, Geom. Topol. 4 (2000) 309 MR1786111
12	K Honda, On the classification of tight contact structures. II, J. Differential Geom. 55 (2000) 83 MR1849027
13	K Honda, Gluing tight contact structures, Duke Math. J. 115 (2002) 435 MR1940409
14	P Lisca, G Matić, Stein $4$-manifolds with boundary and contact structures, Topology Appl. 88 (1998) 55 MR1634563
15	P Lisca, G Matić, Transverse contact structures on Seifert 3-manifolds, Algebr. Geom. Topol. 4 (2004) 1125 MR2113899
16	P Lisca, A I Stipsicz, Ozsváth-Szabó invariants and tight contact three-manifolds, III arXiv:math.SG/0505493
17	P Massot, Geodesible contact structures on $3$–manifolds arXiv:0711.0377
18	O Plamenevskaya, Contact structures with distinct Heegaard Floer invariants, Math. Res. Lett. 11 (2004) 547 MR2092907
19	P Scott, The geometries of $3$-manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
20	H Wu, Legendrian vertical circles in small Seifert spaces, Commun. Contemp. Math. 8 (2006) 219 MR2219613