Algebraic overtwised contact structures on 3-sphere

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Öztürk, Ferit.
dc.contributor.author	Karadereli, Şeyma.
dc.date.accessioned	2023-03-16T11:21:48Z
dc.date.available	2023-03-16T11:21:48Z
dc.date.issued	2020.
dc.identifier.other	MATH 2020 K38
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15316
dc.description.abstract	It is known that all of the complex analytic singularity links and the associated Milnor open books on the 3-sphere correspond to a single contact structure, which is the unique tight structure of the 3-sphere. The main question of this thesis is whether the overtwisted contact structures on the 3-sphere are real algebraic. We will de ne the notion of real algebraicity in the introduction of the thesis. We explicitly construct a family of real algebraic multilinks in the 3-sphere which are the bindings of planar Milnor open book decompositions supporting overtwisted contact structures. Furthermore, we prove that all the overtwisted contact structures with non-negative 3-dimensional invariants are obtained in this family.
dc.format.extent	30 cm.
dc.publisher	Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020.
dc.subject.lcsh	Three-manifolds (Topology)
dc.subject.lcsh	Functions of several complex variables.
dc.title	Algebraic overtwised contact structures on 3-sphere
dc.format.pages	ix, 68 leaves ;