Volume 9, issue 1 (2009)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747

Cabling sequences of tunnels of torus knots

Sangbum Cho and Darryl McCullough

Algebraic & Geometric Topology 9 (2009) 1–20

DOI: 10.2140/agt.2009.9.1

Abstract

In previous work, we developed a theory of tunnels of tunnel number 1 knots in S3. It yields a parameterization in which each tunnel is described uniquely by a finite sequence of rational parameters and a finite sequence of 0s and 1s, that together encode a procedure for constructing the knot and tunnel. In this paper we calculate these invariants for all tunnels of torus knots

Keywords

knot, link, tunnel, torus knot

Mathematical Subject Classification

Primary: 57M25

References
Publication

Received: 5 August 2008
Revised: 22 October 2008
Accepted: 11 December 2008
Published: 5 January 2009

Authors
Sangbum Cho
University of California at Riverside
Department of Mathematics
Riverside
California 92521
USA
Darryl McCullough
University of Oklahoma
Department of Mathematics
Norman
Oklahoma 73019-3103
USA
http://www.math.ou.edu/~dmccullough/