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Slices of Surfaces in the Four-Sphere:McDonald, Clayton January 2021 (has links)
Thesis advisor: Joshua E. Greene / In this dissertation, we discuss cross sectional slices of embedded surfaces in the four-sphere, and give various constructive and obstructive results, in particular focusing on cross sectional slices of unknotted surfaces. One case of note is that of doubly slice Montesinos links, for which we give a partial classification. / Thesis (PhD) — Boston College, 2021. / Submitted to: Boston College. Graduate School of Arts and Sciences. / Discipline: Mathematics.
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