847 research outputs found
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
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