Bourgeois contact structures: Tightness, fillability and applications

URN to cite this document:: urn:nbn:de:bvb:355-epub-526560
DOI to cite this document:: 10.5283/epub.52656

Bowden, Jonathan ; Gironella, Fabio ; Moreno, Agustin

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 26 Jul 2022 10:50

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Abstract

Given a contact structure on a manifold V together with a supporting open book decomposition, Bourgeois gave an explicit construction of a contact structure on V x T-2. We prove that all such structures are universally tight in dimension 5, independent of whether the original contact manifold is itself tight or overtwisted. In arbitrary dimensions, we provide obstructions to the existence of ...