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The G-property of knots

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Abstract

A Knot \({K\subset S^{3}}\) is said to satisfy the G-property if for every \({r \in \mathbb{Q}}\) the manifold M(K, r) obtained by rational surgery on K with surgery coefficient r is the boundary of a Stein domain. The problem of finding which knots satisfy the G-property is still wide open. This paper introduces this problem and presents some techniques used to prove that certain infinite families of knots satisfy the G-property.

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  1. Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait

    Mazen Bou Khuzam

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  1. Mazen Bou Khuzam
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Correspondence to Mazen Bou Khuzam.

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Bou Khuzam, M. The G-property of knots. Geom Dedicata 163, 45–59 (2013). https://doi.org/10.1007/s10711-012-9735-z

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  • DOI: https://doi.org/10.1007/s10711-012-9735-z

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