A note on lens space surgeries: orders of fundamental groups versus Seifert genera

Let K be a non-trivial knot in the 3-sphere with a lens space surgery and L(p,q) a lens space obtained by a Dehn surgery on K. We study a relationship between the order of the fundamental group of L(p,q) and the Seifert genus of K.Comment: 7 pages, 4 figure

Lens spaces obtainable by surgery on doubly primitive knots

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.Comment: 9 pages, 8 figure