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In 2002, Giroux showed that every contact structure had a corresponding open book decomposition. This was the converse to a previous construction of Thurston and Winkelnkemper, and made open books a v...
Abstract: We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda-Kazez-Matic. The page of all our...
This note explains how to relate some contact geometric opera-tions, such as surgery, to operations on an underlying contact open book. In particular, we shall give a simple proof of the fact that sta...
In dimension three, (cooriented) contact structures are closely related to open books via the following results, the rst due to Thurston-Winkelnkemper [8]and the other ones due to Giroux [6]:(1) Ever...

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