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

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
The existence of a universal transverse knot

Jesús Rodríguez-Viorato

Algebraic & Geometric Topology 22 (2022) 2187–2237
Bibliography
1 E Artin, Theory of braids, Ann. of Math. 48 (1947) 101 MR19087
2 D Bennequin, Entrelacements et équations de Pfaff, from: "IIIe rencontre de géométrie du Schnepfenried", Astérisque 107, Soc. Math. France (1983) 87 MR753131
3 R Casals, J B Etnyre, Transverse universal links, from: "Breadth in contemporary topology" (editors D T Gay, W Wu), Proc. Sympos. Pure Math. 102, Amer. Math. Soc. (2019) 43 MR3967840
4 M Casey, Branched covers of contact manifolds, PhD thesis, Georgia Institute of Technology (2013)
5 H Geiges, Constructions of contact manifolds, Math. Proc. Cambridge Philos. Soc. 121 (1997) 455 MR1434654
6 E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
7 J Gonzalo, Branched covers and contact structures, Proc. Amer. Math. Soc. 101 (1987) 347 MR902554
8 H M Hilden, M T Lozano, J M Montesinos-Amilibia, On 2–universal knots, Bol. Soc. Mat. Mexicana 10 (2004) 239 MR2199351
9 H M Hilden, M T Lozano, J M Montesinos, The Whitehead link, the Borromean rings and the knot 946 are universal, Collect. Math. 34 (1983) 19 MR747855
10 T Ito, K Kawamuro, Coverings of open books, from: "Advances in the mathematical sciences" (editors G Letzter, K Lauter, E Chambers, N Flournoy, J E Grigsby, C Martin, K Ryan, K Trivisa), Assoc. Women Math. Ser. 6, Springer (2016) 139 MR3654494
11 A Markoff, Über die freie Äquivalenz der geschlossenen Zöpfe, Rec. Math. Moscou, n. Ser. 1 (1936) 73
12 S Y Orevkov, V V Shevchishin, Markov theorem for transversal links, J. Knot Theory Ramifications 12 (2003) 905 MR2017961
13 B Ozbagci, A I Stipsicz, Surgery on contact 3–manifolds and Stein surfaces, 13, Springer (2004) 281 MR2114165
14 F Öztürk, K Niederkrüger, Brieskorn manifolds as contact branched covers of spheres, Period. Math. Hungar. 54 (2007) 85 MR2310369
15 D Rolfsen, Tutorial on the braid groups, from: "Braids" (editors A J Berrick, F R Cohen, E Hanbury, Y L Wong, J Wu), Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap. 19, World Sci. (2010) 1 MR2605305
16 W P Thurston, Universal links, preprint (1982)