Geodesic
Lens spaces obtainable by surgery on doubly primitive knots
Ichihara, Kazuhiro1 ; Saito, Toshio2
1School of Mathematics Education, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan
2Graduate School of Humanities and Sciences, Nara Women’s University, Kitauoyanishi-machi, Nara 630-8506, Japan
Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 1949-1962
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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.

DOI : 10.2140/agt.2007.7.1949
Keywords: lens space surgery, doubly primitive knot

Ichihara, Kazuhiro  1   ; Saito, Toshio  2

1 School of Mathematics Education, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan
2 Graduate School of Humanities and Sciences, Nara Women’s University, Kitauoyanishi-machi, Nara 630-8506, Japan 
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Ichihara, Kazuhiro; Saito, Toshio. Lens spaces obtainable by surgery on doubly primitive knots. Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 1949-1962. doi: 10.2140/agt.2007.7.1949

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