Journal of Symplectic Geometry

Volume 1 (2001)

Number 1

Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot

Pages: 63 – 120

DOI: http://dx.doi.org/10.4310/JSG.2001.v1.n1.a3

Authors

John B. Etnyre

Ko Honda

Abstract

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.

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