Published in |
Journal of Gökova Geometry Topology, Volume 1 (2007) |
Title |
On the support genus of a contact structure |
Author |
Firat Arikan |
Abstract |
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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Pages | 92-115 |
Download |
PDF |
Submitted: | June 4, 2007 |
Revised: | September 17, 2007 |
Accepted: | September 18, 2007 |
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