6533b82dfe1ef96bd129079b
RESEARCH PRODUCT
A knot without tritangent planes
J. J. Nuño BallesterosA. Montesinos Amilibiasubject
CombinatoricsKnot complementKnot invariantSeifert surfaceQuantum invariantGeometry and TopologyTricolorabilityMathematics::Geometric TopologyTrefoil knotMathematicsKnot (mathematics)Pretzel linkdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-02-01 | Geometriae Dedicata |