Geometry & Topology 11 (2007) 1731–1732

DOI: 10.2140/gt.2007.11.1731

Correction to Geometry & Topology 5 (2001) 651–682

Abstract

In [On iterated torus knots and transversal knots, Geom. Topol. 5 (2001) 651–682] 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 [An addendum on iterated torus knots, arXiv:math.GT/0610566] 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 with H Matsuda).

Keywords

erratum, contact structures, braids, torus knots, cabling, exchange reducibility

Mathematical Subject Classification

Primary: 57M27, 57N16

Secondary: 37F20, 57R17

References

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Publication

Received: 29 October 2006
Revised: 2 May 2007
Accepted: 2 May 2007
Published: 24 September 2007

Authors