Involutions of knots that fix unknotting tunnels

Details Involutions of knots that fix unknotting tunnels Involutions of knots that fix unknotting tunnels

2004-01-29

arxiv.org/abs/math/0401421v1

Journal of Knot Theory and its Ramifications 16 (2007), No. 6, 741-748.

Mathematics

Geometric Topology

9 pages, 3 figures

Scientific paper

10.1142/S0218216507005506

Let K be a knot that has an unknotting tunnel tau. We prove that K admits a
strong involution that fixes tau pointwise if and only if K is a two-bridge
knot and tau its upper or lower tunnel.

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