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In mathematics, a transverse knot is a smo … In mathematics, a transverse knot is a smooth embedding of a circle into a three-dimensional contact manifold such that the tangent vector at every point of the knot is transverse to the contact plane at that point. Any Legendrian knot can be C0-perturbed in a direction transverse to the contact planes to obtain a transverse knot. This yields a bijection between the set of isomorphism classes of transverse knots and the set of isomorphism classes of Legendrian knots modulo negative Legendrian stabilization. modulo negative Legendrian stabilization.
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https://books.google.com/books%3Fid=RERR4zMDYRgC&dq=%22Legendrian%2Bknot%22&pg=PA94 +
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http://dbpedia.org/resource/Transverse +
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| rdfs:comment |
In mathematics, a transverse knot is a smo … In mathematics, a transverse knot is a smooth embedding of a circle into a three-dimensional contact manifold such that the tangent vector at every point of the knot is transverse to the contact plane at that point. Any Legendrian knot can be C0-perturbed in a direction transverse to the contact planes to obtain a transverse knot. This yields a bijection between the set of isomorphism classes of transverse knots and the set of isomorphism classes of Legendrian knots modulo negative Legendrian stabilization. modulo negative Legendrian stabilization.
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| rdfs:label |
Transverse knot
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