On rectangular diagrams, Legendrian knots and transverse knots

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A correspondence is studied by H. Matsuda between front projections of Legendrian links in the standard contact structure for 3-space and rectangular diagrams. In this paper, we introduce braided rectangular diagrams, and study a relationship with Legendrian links in the standard contact structure for 3-space. We show Alexander and Markov Theorems for Legendrian links in 3-space.
15 pages, 11 figures

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Geometric Topology, Algebraic Topology, 57R58, 57R17, 57M25, 57M27

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http://salesiana.dossiersoluciones.com/handle/123456789/136240

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.2406
 http://arxiv.org/abs/0708.2406

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arXiv