Links in overtwisted contact manifolds
Symplectic Geometry
2021-08-17 v2
Abstract
We prove that Legendrian and transverse links in overtwisted contact structures having overtwisted complements can be classified coarsely by their classical invariants. We further prove that any coarse equivalence class of loose links has support genus zero and constructed examples to show that the converse does not hold.
Cite
@article{arxiv.2011.12217,
title = {Links in overtwisted contact manifolds},
author = {Rima Chatterjee},
journal= {arXiv preprint arXiv:2011.12217},
year = {2021}
}
Comments
V2: Fixed some typos, added an example. Only contains the first part of version 1