On rectangular diagrams, Legendrian knots and transverse knots
Geometric Topology
2007-08-20 v1 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0708.2406,
title = {On rectangular diagrams, Legendrian knots and transverse knots},
author = {Hiroshi Matsuda and William W. Menasco},
journal= {arXiv preprint arXiv:0708.2406},
year = {2007}
}
Comments
15 pages, 11 figures