Knots yielding homeomorphic lens spaces by Dehn surgery

Toshio Saito; Masakazu Teragaito

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arXiv · 0808.2852

Knots yielding homeomorphic lens spaces by Dehn surgery

Toshio Saito·Masakazu Teragaito

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Abstract

We show that there exist infinitely many pairs of distinct knots in the 3-sphere such that each pair can yield homeomorphic lens spaces by the same Dehn surgery. Moreover, each knot of the pair can be chosen to be a torus knot, a satellite knot or a hyperbolic knot, except that both cannot be satellite knots simultaneously. This exception is shown to be unavoidable by the classical theory of binary quadratic forms.

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BibTeX RIS

Toshio Saito, Masakazu Teragaito. 2008-09-02. Knots yielding homeomorphic lens spaces by Dehn surgery. https://arxiv.org/abs/0808.2852

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