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The disk complex and 2-bridge knots

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arxiv 1704.03658 v1 pith:LLDQGT3E submitted 2017-04-12 math.GT

classification math.GT
keywords bridgealternativecomplexdiskeverygenusgiveknot
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abstract

We give an alternative proof of a result of Kobayashi and Saeki that every genus one $1$-bridge position of a non-trivial $2$-bridge knot is a stabilization.

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