Volume 11, issue 3 (2007)

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Erratum: On iterated torus knots and transversal knots

William W Menasco

Geometry & Topology 11 (2007) 1731–1732

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

Abstract

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).

Keywords
erratum, contact structures, braids, torus knots, cabling, exchange reducibility
Mathematical Subject Classification 2000
Primary: 57M27, 57N16
Secondary: 57R17, 37F20
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Publication
Received: 29 October 2006
Revised: 2 May 2007
Accepted: 2 May 2007
Published: 24 September 2007
Authors
William W Menasco
Department of Mathematics
University at Buffalo
Buffalo
New York, 14260
USA