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arXiv · 1801.00869

On properties of Bourgeois contact structures

Samuel Lisi·Aleksandra Marinković·Klaus Niederkrüger
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Abstract

The Bourgeois construction associates to every contact open book on a manifold $V$ a contact structure on $V\times T^2$. We study in this article some of the properties of $V$ that are inherited by $V\times T^2$ and some that are not. Giroux has provided recently a suitable framework to work with contact open books. In the appendix of this article, we quickly review this formalism, and we work out a few classical examples of contact open books to illustrate how to use this new language.

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Samuel Lisi, Aleksandra Marinković, Klaus Niederkrüger. 2018-01-03. On properties of Bourgeois contact structures. https://doi.org/10.2140/agt.2019.19.3409

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