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

2001; Volume: 1; Issue: 1 Linguagem: Inglês

10.4310/jsg.2001.v1.n1.a3

1540-2347

John B. Etnyre, Ko Honda,

Geometric and Algebraic Topology

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.