Lens spaces obtainable by surgery on doubly primitive knots

Mathematics – Geometric Topology

Scientific paper

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9 pages, 8 figures

Scientific paper

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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