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Open Book Decompositions Of Links Of Quotient Surface Singularities

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.

Identiferoai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/2/12611201/index.pdf
Date01 June 2009
CreatorsYilmaz, Elif
ContributorsKorkmaz, Mustafa
PublisherMETU
Source SetsMiddle East Technical Univ.
LanguageEnglish
Detected LanguageEnglish
TypePh.D. Thesis
Formattext/pdf
RightsTo liberate the content for METU campus

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