arXiv:0708.2406 Abstract | arXiv Analytics

arXiv:0708.2406 [math.GT]Abstract References Reviews Resources

On rectangular diagrams, Legendrian knots and transverse knots

Published 2007-08-17Version 1

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.

Comments: 15 pages, 11 figures

Categories: math.GT, math.AT

Subjects: 57R58, 57R17, 57M25, 57M27

Keywords: transverse knots, legendrian knots, legendrian links, standard contact structure, markov theorems

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