Abstract
We show that if each of $K_{1}$ and $K_{2}$ is a trefoil knot or a figure eight knot, the homology $3$-sphere defined by the Kirby diagram which is a simple link of $K_{1}$ and $K_{2}$ with framing ($0$, $n$) is represented by an $n$-twisted Whitehead double of $K_{2}$.
Citation
Masatsuna Tsuchiya. "On homology 3-spheres defined by two knots." Osaka J. Math. 52 (4) 993 - 1017, October 2015.
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