Open book decompositions of links of quotient surface singularities

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2009
Yılmaz, Elif
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.

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Citation Formats
E. Yılmaz, “Open book decompositions of links of quotient surface singularities,” Ph.D. - Doctoral Program, Middle East Technical University, 2009.