On the tight contact structures on seıfert fibred 3−manifolds with 4 singular fibers

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Thesis Type: Doctorate

Institution Of The Thesis: Middle East Technical University, Faculty of Arts and Sciences, Department of Mathematics, Turkey

Approval Date: 2010

Thesis Language: English

Student: Elif Medetoğulları

Supervisor: YILDIRAY OZAN

Abstract:

In this thesis, we study the classification problem of Stein fillable tight contact structures on any Seifert fibered 3−manifold M over S 2 with 4 singular fibers. In the case e0(M) · −4 we have a complete classification. In the case e0(M) ¸ 0 we have obtained upper and lower bounds for the number of Stein fillable contact structures on M.