The correspondence between augmentations and rulings for Legendrian knots
Symplectic Geometry
2016-09-07 v2 Geometric Topology
Abstract
We strengthen the link between holomorphic and generating-function invariants of Legendrian knots by establishing a formula relating the number of augmentations of a knot's contact homology to the complete ruling invariant of Chekanov and Pushkar.
Keywords
Cite
@article{arxiv.math/0503168,
title = {The correspondence between augmentations and rulings for Legendrian knots},
author = {Lenhard L. Ng and Joshua M. Sabloff},
journal= {arXiv preprint arXiv:math/0503168},
year = {2016}
}
Comments
v2: 10 pages, 3 figures; minor revisions, to appear in Pacific J. Math