Lens spaces obtainable by surgery on doubly primitive knots
arXiv:0708.3347 · 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. 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.
arXiv comment9 pages, 8 figures