Abstract view
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On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces
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Published:2006-12-01
Printed: Dec 2006
Abstract
For a non-trivial knot in the $3$-sphere,
only integral Dehn surgery can create a closed $3$-manifold containing a projective plane.
If we restrict ourselves to hyperbolic knots, the corresponding claim for a Klein bottle is still true.
In contrast to these, we show that non-integral surgery on a hyperbolic knot
can create a closed non-orientable surface of any genus greater than two.
