Knots and Contact Geometry

Details Knots and Contact Geometry Knots and Contact Geometry

2000-06-15

arxiv.org/abs/math/0006112v1

Mathematics

Geometric Topology

Scientific paper

We classify Legendrian torus knots and figure eight knots in the tight
contact structure on the 3-sphere up to Legendrian isotopy. As a corollary to
this we also obtain the classification of transversal torus knots and figure
eight knots up to transversal isotopy.

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