Algebraic & Geometric Topology Volume 22, issue 5 (2022)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

The existence of a universal transverse knot

Jesús Rodríguez-Viorato

Algebraic & Geometric Topology 22 (2022) 2187–2237

DOI: 10.2140/agt.2022.22.2187

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)