Journal of Symplectic Geometry
Volume 1 (2001)
Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot
Pages: 63 – 120
We classify Legendrian torus knots and Legendrian figure eight knots in the tight contact structure on S3 up to Legendrian isotopy. A a corollary to this we also obtain the classification of transversal torus knots and transversal figure eight knots up to transversal isotopy.