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arXiv · 1509.01170

On the set of L-space surgeries for links

Eugene Gorsky·András Némethi
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Abstract

It it known that the set of L-space surgeries on a nontrivial L-space knot is always bounded from below. However, already for two-component torus links the set of L-space surgeries might be unbounded from below. For algebraic two-component links we provide three complete characterizations for the boundedness from below: one in terms of the $h$-function, one in terms of the Alexander polynomial, and one in terms of the embedded resolution graph. They show that the set of L-space surgeries is bounded from below for most algebraic links. In fact, the used property of the $h$-function is a sufficient condition for non-algebraic L-space links as well.

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BibTeXRIS

Eugene Gorsky, András Némethi. 2017-02-20. On the set of L-space surgeries for links. https://arxiv.org/abs/1509.01170

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