Torsion in linearized contact homology for Legendrian knots
Symplectic Geometry
2024-07-18 v2 Geometric Topology
Abstract
We present examples of Legendrian knots in that have linearized Legendrian contact homology over containing torsion. As a consequence, we show that there exist augmentations of Legendrian knots over that are not induced by exact Lagrangian fillings, even though their mod reductions are.
Keywords
Cite
@article{arxiv.2308.13482,
title = {Torsion in linearized contact homology for Legendrian knots},
author = {Robert Lipshitz and Lenhard Ng},
journal= {arXiv preprint arXiv:2308.13482},
year = {2024}
}
Comments
19 pages, 7 figures. V2: minor revisions; accepted for publication in Michigan Math. J