In this thesis, we write explicitly the open book decompositions of links of quotient
surface singularities that support the corresponding unique Milnor fillable contact
structures. The page-genus of these Milnor open books are minimal among all Milnor
open books supporting the corresponding unique Milnor fillable contact structures.
That minimal page-genus is called Milnor genus. In this thesis we also investigate
whether the Milnor genus is equal to the support genus for links of quotient surface
singularities. We show that for many types of the quotient surface singularities the
Milnor genus is equal to the support genus of the corresponding contact structure.
For the remaining we are able to find an upper bound for the support genus which
would be a step forward in understanding these contact structures.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/2/12611201/index.pdf |
| Date | 01 June 2009 |
| Creators | Yilmaz, Elif |
| Contributors | Korkmaz, Mustafa |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for METU campus |
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