Mirko Klukas
Published 2012-07-17Version 1
In the present paper we describe compatible open books for the fibre connected sum along binding components of open books, as well as for the fibre connected sum along multi-sections of open books. As an application the first description provides simple ways of constructing open books supporting all tight contact structures on $T^3$, recovering a result by van Horn-Morris, as well as an open book supporting the result of a Lutz twist along a binding component of an open book, recovering a result by Ozbagci--Pamuk.
Comments: 18 pages, 15 figures
The diffeotopy group of S^1 \times S^2 via contact topology
A cut-and-paste approach to contact topology
Special moves for open book decompositions of 3-manifolds
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