Notes for 10 132's three dimensional invariants: Difference between revisions

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It is currently unknown whether the maximal Thurston-Bennequin number for the mirror 10<sub>132</sub> knot is -1 or 0. This is the only knot with at most 10 crossings for which this invariant is unknown.
10<sub>132</sub> is a very interesting knot from the point of view of contact geometry. In particular, it is a transversely nonsimple knot, and it was the last knot with at most 10 crossings for which the maximal Thurston-Bennequin number was calculated.

Revision as of 10:01, 10 October 2007

10132 is a very interesting knot from the point of view of contact geometry. In particular, it is a transversely nonsimple knot, and it was the last knot with at most 10 crossings for which the maximal Thurston-Bennequin number was calculated.