Legendrian knot and link atlases


On this page, there are links to atlases of Legendrian knots and two-component links of topological type with arc index at most 9. Various source files are also available, including Java code for anyone who might be interested in extending the atlas or otherwise playing with grid diagrams for Legendrian knots.

These files accompany the paper “An atlas of Legendrian knots” by Wutichai Chongchitmate and Lenhard Ng, arXiv:1010.3997, which is based on Wutichai Chongchitmate's undergraduate senior thesis, also available below. Special thanks also to the 2014-2015 edition of DRM@Duke, whose participants produced the latest Java programs.

Recent changes:

The Legendrian knot atlas
This is the main atlas, with explanation, as a standalone file. Previous version: August 2013 Legendrian knot atlas.

Atlas for Legendrian two-component links

Legend/explanation for the Legendrian two-component link atlas

Classification of Legendrian knots and links by Wutichai Chongchitmate: senior thesis, Duke University, 2010

Source files:

Java code:

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