Geodesic
On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces
Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 624-627

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DOI

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.
DOI : 10.4153/CMB-2006-057-5
Mots-clés : 57M25, knot, Dehn surgery, non-orientable surface 
Teragaito, Masakazu. On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces. Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 624-627. doi: 10.4153/CMB-2006-057-5
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     title = {On {Non-Integral} {Dehn} {Surgeries} {Creating} {Non-Orientable} {Surfaces}},
     journal = {Canadian mathematical bulletin},
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     year = {2006},
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     doi = {10.4153/CMB-2006-057-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-057-5/}
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