Meridional surfaces and (1,1)-knots

Details Meridional surfaces and (1,1)-knots Meridional surfaces and (1,1)-knots

2006-08-08

arxiv.org/abs/math/0608205v1

Mathematics

Geometric Topology

28 pages, 6 figures

Scientific paper

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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