Volume 16, issue 3 (2012)

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

Volume 26
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

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 Interests
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
Legendrian and transverse cables of positive torus knots

John B Etnyre, Douglas J LaFountain and Bülent Tosun

Geometry & Topology 16 (2012) 1639–1689
Bibliography
1 K L Baker, J B Etnyre, J Van Horn-Morris, Cabling, contact structures and mapping class monoids, J. Differential Geom. 90 (2012) 1 MR2891477
2 W Chongchitmate, L Ng, An atlas of Legendrian knots, to appear in Exp. Math. arXiv:1010.3997
3 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
4 Y Eliashberg, Contact $3$–manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
5 J Epstein, D Fuchs, M Meyer, Chekanov–Eliashberg invariants and transverse approximations of Legendrian knots, Pacific J. Math. 201 (2001) 89 MR1867893
6 J B Etnyre, Transversal torus knots, Geom. Topol. 3 (1999) 253 MR1714912
7 J B Etnyre, K Honda, Knots and contact geometry I: Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
8 J B Etnyre, K Honda, On connected sums and Legendrian knots, Adv. Math. 179 (2003) 59 MR2004728
9 J B Etnyre, K Honda, Cabling and transverse simplicity, Ann. of Math. 162 (2005) 1305 MR2179731
10 J B Etnyre, L Ng, V Vértesi, Legendrian and transverse twist knots, to appear in J. Eur. Math. Soc. arXiv:1002.2400
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 D J LaFountain, Studying uniform thickness I: Legendrian simple iterated torus knots, Algebr. Geom. Topol. 10 (2010) 891 MR2629769
14 D J LaFountain, Studying uniform thickness II: Transversely nonsimple iterated torus knots, Algebr. Geom. Topol. 11 (2011) 2741 MR2846910
15 J Milnor, Singular points of complex hypersurfaces, Annals of Math. Studies 61, Princeton Univ. Press (1968) MR0239612
16 P Ozsváth, A I Stipsicz, Contact surgeries and the transverse invariant in knot Floer homology, J. Inst. Math. Jussieu 9 (2010) 601 MR2650809
17 B Tosun, On the Legendrian and transverse classification of cablings arXiv:1206.4953
18 B Tosun, Legendrian and transverse knots and their invariants, PhD thesis, Georgia Institute of Technology (2012)