Geometry & Topology Volume 12, issue 3 (2008)

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Geodesible contact structures on $3$–manifolds

Patrick Massot

Geometry & Topology 12 (2008) 1729–1776

DOI: 10.2140/gt.2008.12.1729

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