On homology 3-spheres defined by two knots

Masatsuna Tsuchiya

On homology 3-spheres defined by two knots

Geometric Topology 2014-10-29 v2

Authors: Masatsuna Tsuchiya

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 $K_2$ .

Keywords

homology 3-sphere trefoil knot figure eight knot Kirby diagram Whitehead double framing knot theory

Cite

@article{arxiv.1401.7445,
  title  = {On homology 3-spheres defined by two knots},
  author = {Masatsuna Tsuchiya},
  journal= {arXiv preprint arXiv:1401.7445},
  year   = {2014}
}

Comments

21 pages, 102 figures

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