Lens spaces obtainable by surgery on doubly primitive knots

Kazuhiro Ichihara; Toshio Saito

doi:10.2140/agt.2007.7.1949

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arXiv · 0708.3347

Lens spaces obtainable by surgery on doubly primitive knots

Kazuhiro Ichihara·Toshio Saito

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Abstract

In this paper, we consider which lens spaces are obtainable by Dehn surgery described by Berge on doubly primitive knots. It is given an algorithm to decide whether a given lens space is obtainable by such surgery. Also included is a complete characterization of such surgery yielding lens spaces with Klein bottles.

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BibTeX RIS

Kazuhiro Ichihara, Toshio Saito. 2007-08-24. Lens spaces obtainable by surgery on doubly primitive knots. https://doi.org/10.2140/agt.2007.7.1949

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