On homology 3-spheres defined by two knots

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 $K_2$ .

21 pages, 102 figures

Cited by in corpus (2)

• Heegaard Floer homology of Matsumoto's manifolds
• On homotopy $K3$ surfaces constructed by two knots and their applications