Tunnel number one knots;
Double branched covers;
Heegaard splittings;
Primary 57M25;
Secondary 57M12;
57M50;
D O I:
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摘要:
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′\documentclass[12pt]{minimal}
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\begin{document}$$K'$$\end{document} not equivalent to K.