A knot without tritangent planes |
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| Authors: | A. Montesinos Amilibia J. J. Nuño Ballesteros |
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| Affiliation: | (1) Dept. de Geometria i Topologia, Universitat de València, Dr. Moliner, 50, E-46100 Burjasot (Valencia), Spain |
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| Abstract: | 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.This work was partially supported by the CYCIT grant no. PS87-0115-C03-01. The computations were made in the Centro de Informática de la Universitat de València. |
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