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.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.format.pages | ix, 68 leaves ; | |
| dc.identifier.other | MATH 2020 K38 | |
| dc.identifier.uri | https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15316 | |
| 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 |