Geodesic
Erratum: On iterated torus knots and transversal knots
Menasco, William W1
1 Department of Mathematics, University at Buffalo, Buffalo, New York, 14260, USA
Geometry & topology, Tome 11 (2007) no. 3, pp. 1731-1732.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

In [?] the author’s Theorems 1.1 and 1.2, combined, implied that iterated torus knots are transversally simple. This result is in error and this erratum pinpoints the error. In [?] a more subtle result is proven resulting in giving a geometric realization of the Honda–Etnyre transverse (2,3)–cable of the (2,3)–torus knot example (appendix joint with H Matsuda).

DOI : 10.2140/gt.2007.11.1731
Keywords: erratum, contact structures, braids, torus knots, cabling, exchange reducibility

Menasco, William W 1

1 Department of Mathematics, University at Buffalo, Buffalo, New York, 14260, USA 
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Menasco, William W. Erratum: On iterated torus knots and transversal knots. Geometry & topology, Tome 11 (2007) no. 3, pp. 1731-1732. doi : 10.2140/gt.2007.11.1731. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.1731/

[1] J S Birman, N C Wrinkle, On transversally simple knots, J. Differential Geom. 55 (2000) 325

[2] J B Etnyre, K Honda, Cabling and transverse simplicity, Ann. of Math. $(2)$ 162 (2005) 1305

[3] W W Menasco, On iterated torus knots and transversal knots, Geom. Topol. 5 (2001) 651

[4] W W Menasco, An addendum on iterated torus knots

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