Full lutz twist along the binding of an open book

Abstract

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 local modification near the binding.