Heegaard Splittings and Complexity of Fibered Knots
| Autor: | Cengiz, Mustafa |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Diplomová práce |
| Popis: | Thesis advisor: Tao Li This dissertation explores a relationship between fibered knots and Heegaard splittings in closed, connected, orientable three-manifolds. We show that a fibered knot, which has a sufficiently complicated monodromy, induces a minimal genus Heegaard splitting that is unique up to isotopy. Moreover, we show that fibered knots in the three-sphere has complexity at most 3. Thesis (PhD) — Boston College, 2020. Submitted to: Boston College. Graduate School of Arts and Sciences. Discipline: Mathematics. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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