Geometriae Dedicata

, Volume 147, Issue 1, pp 389–396 | Cite as

Full Lutz twist along the binding of an open book

Original Paper
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Abstract

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

Keywords

Lutz twist Contact surgery Open book decomposition 

Mathematics Subject Classification (2000)

57R17 57R65 
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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of MathematicsKoç UniversityIstanbulTurkey

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