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arxiv: math/0608205 · v1 · submitted 2006-08-08 · 🧮 math.GT

Meridional surfaces and (1,1)-knots

classification 🧮 math.GT
keywords meridionalessentialknotsconstructionsurfacesurfacesadmitadmits
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We determine all (1,1)-knots which admit an essential meridional surface, namely, we give a construction which produces (1,1)-knots having essential meridional surfaces, and show that if a (1,1)-knot admits an essential meridional surface then it comes from the given construction.

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