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2007 Lens spaces obtainable by surgery on doubly primitive knots
Kazuhiro Ichihara, Toshio Saito
Algebr. Geom. Topol. 7(4): 1949-1962 (2007). DOI: 10.2140/agt.2007.7.1949

Abstract

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

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Kazuhiro Ichihara. Toshio Saito. "Lens spaces obtainable by surgery on doubly primitive knots." Algebr. Geom. Topol. 7 (4) 1949 - 1962, 2007. https://doi.org/10.2140/agt.2007.7.1949

Information

Received: 29 August 2007; Accepted: 26 October 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1135.57003
MathSciNet: MR2366182
Digital Object Identifier: 10.2140/agt.2007.7.1949

Subjects:
Primary: 57M25
Secondary: 57M27

Rights: Copyright © 2007 Mathematical Sciences Publishers

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Vol.7 • No. 4 • 2007
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