On loose Legendrian knots in rational homology spheres
Geometric Topology
2019-12-06 v1
Abstract
We prove that loose Legendrian knots in a rational homology contact 3-sphere, satisfying some additional hypothesis, are Legendrian isotopic if and only if they have the same classical invariants. The proof requires a result of Dymara on loose Legendrian knots and Eliashberg's classification of overtwisted contact structures on 3-manifolds.
Keywords
Cite
@article{arxiv.1707.04872,
title = {On loose Legendrian knots in rational homology spheres},
author = {Alberto Cavallo},
journal= {arXiv preprint arXiv:1707.04872},
year = {2019}
}