Search results for "Pretzel link"

showing 2 items of 2 documents

A knot without tritangent planes

1991

We show, with computations aided by a computer, that the (3,2)-curve on some standard torus (which topologically is the trefoil knot) has no tritangent planes, thus answering in the negative a conjecture of M. H. Freedman.

CombinatoricsKnot complementKnot invariantSeifert surfaceQuantum invariantGeometry and TopologyTricolorabilityMathematics::Geometric TopologyTrefoil knotMathematicsKnot (mathematics)Pretzel linkGeometriae Dedicata
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A knot without triple bitangency

1997

It is proved that certain trefoil knot has not triple bitangency, answering thus in the negative a conjecture of S. Izumiya and W. L. Marar.

CombinatoricsKnot complementMathematics::Algebraic GeometryConjectureGeometry and TopologyMathematics::Geometric TopologyKnot (mathematics)Pretzel linkTrefoil knotMathematicsJournal of Geometry
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