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Linear Legendrian curves in T3

2004/01/31 by Paolo Ghiggini, Ghiggini, Paolo
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #math.GT

paper · pdf · doi:10.48550/arxiv.math/0402005

Some proofs corrected, exposition improved

openalex publication_date 2004/01/31 · arxiv created 2004/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on T3. Some of the knot types considered in this article provide new examples of non transversally simple knot types.

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