Abstract
Let (Vi, ti)
be a pair consisting of a solid torus
Vi and an unknotted arc ti
properly
imbedded in Vi for i=1 and 2.
Taking the union of these pairs we obtain a pair
(M, K) of the 3-dimensional sphere or a lens space
M and a knot K. We call such
a knot K a genus one 1-bridge knot. In this paper we determine
when a genus one
1-bridge knot is the trivial knot or a cabled knot.
Publisher
Cambridge University Press (CUP)
Cited by
17 articles.
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