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arXiv · 1607.08262

On plastikstufe, bordered Legendrian open book and overtwisted contact structures

Yang Huang
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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.

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Yang Huang. 2017-05-11. On plastikstufe, bordered Legendrian open book and overtwisted contact structures. https://doi.org/10.1112/topo.12020

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