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.
Identifer | oai:union.ndltd.org:BOSTON/oai:dlib.bc.edu:bc-ir_108729 |
Date | January 2020 |
Creators | Cengiz, Mustafa |
Publisher | Boston College |
Source Sets | Boston College |
Language | English |
Detected Language | English |
Type | Text, thesis |
Format | electronic, application/pdf |
Rights | Copyright is held by the author, with all rights reserved, unless otherwise noted. |
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