On plastikstufe, bordered Legendrian open book and overtwisted contact structures

11 May 2017  ·  Huang Yang ·

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. read more

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Symplectic Geometry