CEU Electronic Theses and Dissertations, 2019
| Author | Ramanantoanina, Andriamahenina |
|---|---|
| Title | Topological Classification of Links Associated with Plane Curve Singularities |
| Summary | Consider an irreducible branch B of a curve germ (C, 0). We show that the knot K_B is completely determined by the set of Puiseux pairs. We describe the full topological classification of links in terms of the set of Puiseux pairs and linking numbers of knot components forming the link. The second aims of the thesis is to recover the Puiseux pairs by mean of resolution of the singularity. We show that for any curve C there exist a resolution such that the strict transform of C and exceptional curves E_i, which come with Euler numbers e_i, form a normal crossing divisor. We show that the set of Puiseux pairs determine the shape of the resolution dual graph together with the Euler numbers as decoration, and vice-versa. |
| Supervisor | Némethi, András |
| Department | Mathematics MSc |
| Full text | https://www.etd.ceu.edu/2019/ramanantoanina_andri.pdf |
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