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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)