Volume 12, issue 3 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Geodesible contact structures on $3$–manifolds

Patrick Massot

Geometry & Topology 12 (2008) 1729–1776
Bibliography
1 M Aigner, G M Ziegler, Proofs from The Book, Springer (2004) MR2014872
2 D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982)", Astérisque 107, Soc. Math. France (1983) 87 MR753131
3 Y Carrière, Flots riemanniens, Astérisque (1984) 31 MR755161
4 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
5 F Ding, H Geiges, Symplectic fillability of tight contact structures on torus bundles, Algebr. Geom. Topol. 1 (2001) 153 MR1823497
6 D Eisenbud, U Hirsch, W Neumann, Transverse foliations of Seifert bundles and self-homeomorphism of the circle, Comment. Math. Helv. 56 (1981) 638 MR656217
7 Y Eliashberg, Topological characterization of Stein manifolds of dimension $\gt 2$, Internat. J. Math. 1 (1990) 29 MR1044658
8 Y Eliashberg, Contact $3$–manifolds twenty years since J Martinet's work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
9 Y M Eliashberg, W P Thurston, Confoliations, University Lecture Series 13, Amer. Math. Soc. (1998) MR1483314
10 J B Etnyre, K Honda, Knots and contact geometry. I. Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
11 P Ghiggini, On tight contact structures with negative maximal twisting number on small Seifert manifolds arXiv:0707.4494
12 P Ghiggini, Strongly fillable contact $3$–manifolds without Stein fillings, Geom. Topol. 9 (2005) 1677 MR2175155
13 P Ghiggini, Tight contact structures on Seifert manifolds over $T^2$ with one singular fibre, Algebr. Geom. Topol. 5 (2005) 785 MR2153106
14 P Ghiggini, Linear Legendrian curves in $T^3$, Math. Proc. Cambridge Philos. Soc. 140 (2006) 451 MR2225643
15 E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
16 E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
17 E Giroux, Structures de contact sur les variétés fibrées en cercles au-dessus d'une surface, Comment. Math. Helv. 76 (2001) 218 MR1839346
18 E Giroux, Sur les transformations de contact au-dessus des surfaces, from: "Essays on geometry and related topics, Vol. 1, 2", Monogr. Enseign. Math. 38, Enseignement Math. (2001) 329 MR1929332
19 R E Gompf, Handlebody construction of Stein surfaces, Ann. of Math. $(2)$ 148 (1998) 619 MR1668563
20 T Hangan, R Lutz, Champs d'hyperplans totalement géodésiques sur les sphères, from: "Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982)", Astérisque 107, Soc. Math. France (1983) 189 MR753135
21 K Honda, Confoliations transverse to vector fields, preprint available at http://almaak.usc.edu/ khonda/research.html (1998)
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, Gluing tight contact structures, Duke Math. J. 115 (2002) 435 MR1940409
25 M Jankins, W Neumann, Homomorphisms of Fuchsian groups to $\mathrm{PSL}(2,\mathrm{R})$, Comment. Math. Helv. 60 (1985) 480 MR814153
26 M Jankins, W Neumann, Rotation numbers of products of circle homeomorphisms, Math. Ann. 271 (1985) 381 MR787188
27 J Kim, Tight contact structures of certain Seifert fibered $3$–manifolds with $e_0=-1$, Pacific J. Math. 221 (2005) 109 MR2194147
28 P Lisca, G Matić, Stein $4$–manifolds with boundary and contact structures, from: "Symplectic, contact and low-dimensional topology (Athens, GA, 1996)", Topology Appl. (1998) 55 MR1634563
29 P Lisca, G Matić, Transverse contact structures on Seifert $3$–manifolds, Algebr. Geom. Topol. 4 (2004) 1125 MR2113899
30 R Lutz, Structures de contact et systèmes de Pfaff à pivot, from: "Third Schnepfenried geometry conference, Vol. 1 (Schnepfenried, 1982)", Astérisque 107, Soc. Math. France (1983) 175 MR753134
31 R Lutz, Quelques remarques sur la géométrie métrique des structures de contact, from: "South Rhone seminar on geometry, I (Lyon, 1983)", Travaux en Cours, Hermann (1984) 75 MR753853
32 J D McCarthy, J G Wolfson, Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities, Invent. Math. 119 (1995) 129 MR1309973
33 D McDuff, D Salamon, Introduction to symplectic topology, Oxford Mathematical Monographs, The Clarendon Oxford University Press (1998) MR1698616
34 R Naimi, Foliations transverse to fibers of Seifert manifolds, Comment. Math. Helv. 69 (1994) 155 MR1259611
35 K Niederkrüger, F Pasquotto, Resolution of symplectic cyclic orbifold singularities arXiv:0707.4141
36 G Pick, Geometrisches zur Zahlenlehre, Sitzungberichte Lotos Naturwissen Zeitschrift 19 (1899) 311
37 B L Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. $(2)$ 69 (1959) 119 MR0107279
38 D Rolfsen, Knots and links, AMS Chelsea Publishing (2003) MR1277811
39 A Sato, T Tsuboi, Contact structures on closed manifolds fibered by the circle, Mem. Inst. Sci. Tech. Meiji Univ. 33 (1994) 41
40 S Schwartzman, Asymptotic cycles, Ann. of Math. $(2)$ 66 (1957) 270 MR0088720
41 P Scott, The geometries of $3$–manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
42 W Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
43 H Wu, Tight contact small Seifert spaces with $e_0$ not $0,-1$ or $-2$ arXiv:math.GT/0402167
44 H Wu, Legendrian vertical circles in small Seifert spaces, Commun. Contemp. Math. 8 (2006) 219 MR2219613