Journal of Symplectic Geometry

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

John B. Etnyre and 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.

Article information

Source
J. Symplectic Geom., Volume 1, Number 1 (2001), 63-120.

Dates
First available in Project Euclid: 12 August 2004

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1092316299

Mathematical Reviews number (MathSciNet)
MR1959579

Zentralblatt MATH identifier
1037.57021

Citation

Etnyre, John B.; Honda, Ko. Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot. J. Symplectic Geom. 1 (2001), no. 1, 63--120. https://projecteuclid.org/euclid.jsg/1092316299


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