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December, 2001 Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot
John B. Etnyre , Ko Honda
J. Symplectic Geom. 1(1): 63-120 (December, 2001).

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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John B. Etnyre . Ko Honda . "Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot." J. Symplectic Geom. 1 (1) 63 - 120, December, 2001.

Information

Published: December, 2001
First available in Project Euclid: 12 August 2004

zbMATH: 1037.57021
MathSciNet: MR1959579

Rights: Copyright © 2001 International Press of Boston

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Vol.1 • No. 1 • December, 2001
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