%0 Journal Article
%T Braid-positive Legendrian links
%A Tam¨¢s K¨¢lm¨¢n
%J Mathematics
%D 2006
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0608457v1