Geodesic
Cabling sequences of tunnels of torus knots
Cho, Sangbum1 ; McCullough, Darryl2
1University of California at Riverside, Department of Mathematics, Riverside, California 92521, USA
2University of Oklahoma, Department of Mathematics, Norman, Oklahoma 73019-3103, USA
Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 1-20
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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

DOI : 10.2140/agt.2009.9.1
Keywords: knot, link, tunnel, torus knot

Cho, Sangbum  1   ; McCullough, Darryl  2

1 University of California at Riverside, Department of Mathematics, Riverside, California 92521, USA
2 University of Oklahoma, Department of Mathematics, Norman, Oklahoma 73019-3103, USA 
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Cho, Sangbum; McCullough, Darryl. Cabling sequences of tunnels of torus knots. Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 1-20. doi: 10.2140/agt.2009.9.1

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