Vol. 259, No. 2, 2012

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Tunnel one, fibered links

Matt Rathbun

Vol. 259 (2012), No. 2, 473–481
Abstract

For a fibered link of tunnel number one in S3, with fiber F and unknotting tunnel τ, we show that τ can be isotoped to lie in F.

Keywords
tunnel, fibered, knot, link, monodromy
Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57M27
Milestones
Received: 17 March 2012
Revised: 4 June 2012
Accepted: 22 June 2012
Published: 3 October 2012
Authors
Matt Rathbun
Department of Mathematics
Huxley Building 6M33
Imperial College London, South Kensington Campus
London, SW7 2AZ
United Kingdom
http://www2.imperial.ac.uk/~mrathbun/