On the support genus of a contact structure

Date

2007-01-01

Author

Arıkan, Mehmet Fırat

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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.

URI

https://hdl.handle.net/11511/77835
http://gokovagt.org/journal/2007/jggt07-arikan.pdf

Journal

Journal Gökova Geometry Topology

Collections

Department of Mathematics, Article

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Citation Formats

M. F. Arıkan, “On the support genus of a contact structure,” Journal Gökova Geometry Topology, pp. 92–115, 2007, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/77835.