On homology 3-spheres defined by two knots

Masatsuna Tsuchiya

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arXiv · 1401.7445

On homology 3-spheres defined by two knots

Masatsuna Tsuchiya

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Abstract

We show that if each of $K_1$ and $K_2$ is a trefoil knot or 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 $K_2$ .

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Masatsuna Tsuchiya. 2014-10-28. On homology 3-spheres defined by two knots. https://arxiv.org/abs/1401.7445

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