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arxiv: 1905.05366 · v1 · pith:B2A467XSnew · submitted 2019-05-14 · 🧮 math.GT

Double branched covers of tunnel number one knots

classification 🧮 math.GT
keywords brancheddoublecoverknotnumbertunnelcoverscriteria
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We provide criteria ensuring that a tunnel number one knot $K$ is not determined by its double branched cover, in the sense that the double branched cover is also the double branched cover of a knot $K'$ not equivalent to $K$.

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