On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces
On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces
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 …