On plastikstufe, bordered Legendrian open book and overtwisted contact structures
Symplectic Geometry
2017-06-28 v5
Abstract
In this paper we prove the presence of an embedded plastikstufe implies overtwistedness of the contact structure in any dimension. Moreover, we show in dimension 5 that the presence of an embedded bordered Legendrian open book (bLob) also implies overtwistedness. Applications of these criteria to certain (contact) fibered connected sums and open books are discussed.
Keywords
Cite
@article{arxiv.1607.08262,
title = {On plastikstufe, bordered Legendrian open book and overtwisted contact structures},
author = {Yang Huang},
journal= {arXiv preprint arXiv:1607.08262},
year = {2017}
}
Comments
final version; substantial revisions; to appear in the Journal of Topology