Slices of Surfaces in the Four-Sphere

McDonald, Clayton. “Slices of Surfaces in the Four-Sphere”, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109128.
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Abstract

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.

Title
Slices of Surfaces in the Four-Sphere
Author
McDonald, Clayton
School
Arts and Sciences
Discipline
Mathematics
Publisher
Boston College
Date Issued
2021
Genre
thesis
Degree Level
Doctoral
Degree Name
PhD
Thesis Advisor
Greene, Joshua E.
Persistent Link
http://hdl.handle.net/2345/bc-ir:109128
Use Restrictions
Copyright is held by the author. This work is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0).
Subject
Doubly slice
Scholarly Profile
Clayton McDonald's ORCID:  https://orcid.org/0000-0002-8916-0240

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