2006•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Linear Legendrian curves in $T^3$

Paolo Ghiggini

Open publisher page 17 citations

Abstract

Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on . Some of the knot types considered in this paper provide new examples of non transversally simple knot types.

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What this paper is about

Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on . Some of the knot types considered in this paper provide new examples of non transversally simple knot types.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on . Some of the knot types considered in this paper provide new examples of non transversally simple knot types.

Key concepts: Isotopy, Knot (papermaking), Mathematics, Regular polygon, Pure mathematics, Mathematical analysis, Geometry, Materials science

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