Dehn surgeries creating Klein bottles and genera of knots
Kazuhiro Ichihara and Masakazu Teragaito
(
Click here for pdf version )
We study the creation of Klein bottles
by surgery on knots in the 3-sphere.
For non-cabled knots, it is known that
the slope corresponding to such surgery
is an integer. We give an upper bound
for the slopes yielding Klein bottles
in terms of the genera of knots.
|