Full Lutz twist along the binding of an open book

Details Full Lutz twist along the binding of an open book Full Lutz twist along the binding of an open book

2009-05-07

arxiv.org/abs/0905.0986v2

Mathematics

Geometric Topology

7 pages, 3 figures

Scientific paper

Let $T$ denote a binding component of an open book $(\Sigma, \phi)$ compatible with a closed contact 3-manifold $(M, \xi)$. We describe an explicit open book $(\Sigma', \phi')$ compatible with $(M, \zeta)$, where $\zeta$ is the contact structure obtained from $\xi$ by performing a full Lutz twist along $T$. Here, $(\Sigma', \phi')$ is obtained from $(\Sigma, \phi)$ by a \emph{local} modification near the binding.

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