Knots with unique minimal genus Seifert surface and depth of knots

Details Knots with unique minimal genus Seifert surface and depth of knots Knots with unique minimal genus Seifert surface and depth of knots

2002-09-11

arxiv.org/abs/math/0209138v2

Mathematics

Geometric Topology

19 pages, 17 figures. Minor revisions to the original submission

Scientific paper

We describe a procedure for creating infinite families of hyperbolic knots
having unique minimal genus Seifert surface. A large subset of these knots have
the further property that the surface cannot be the sole compact leaf of a
depth one foliation of the knot exterior.

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