Knots and contact geometry I torus knots and the figure eight knot
Joint work with Ko Honda.
J. Sympl. Geom. 1 (2001), no. 1, 63-120.

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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