Braid-positive Legendrian links
Symplectic Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
Any link that is the closure of a positive braid has a natural Legendrian representative. These were introduced in an earlier paper, where their Chekanov--Eliashberg contact homology was also evaluated. In this paper we re-phrase and improve that computation using a matrix representation. In particular, we present a way of finding all augmentations of such Legendrians, construct an augmentation which is also a ruling, and find surprising links to LU-decompositions and Gr\"obner bases.
Keywords
Cite
@article{arxiv.math/0608457,
title = {Braid-positive Legendrian links},
author = {Tamás Kálmán},
journal= {arXiv preprint arXiv:math/0608457},
year = {2007}
}
Comments
24 pages