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arxiv: math/0209138 · v2 · submitted 2002-09-11 · 🧮 math.GT

Knots with unique minimal genus Seifert surface and depth of knots

classification 🧮 math.GT
keywords knotssurfacedepthgenusminimalseifertuniquecannot
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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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