Published in Journal of Gökova Geometry Topology, Volume 1 (2007)
Title On the support genus of a contact structure
Author Firat Arikan
The algorithm given by Akbulut and Ozbagci constructs an explicit open book decomposition on a contact three-manifold described by a contact surgery on a link in the three-sphere. In this article, we will improve this algorithm by using Giroux's contact cell decomposition process. In particular, our algorithm gives a better upper bound for the recently defined 'minimal supporting genus invariant' of contact structures.
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Submitted: June 4, 2007
Revised: September 17, 2007
Accepted: September 18, 2007
 Journal of GGT Volume 1

Last updated: December 2007
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