Abstract
dc:description.abstract<p>We use the functoriality of Khovanov homology to examine the smooth, boundary-preserving isotopy of surfaces embedded in the 4-ball. We exemplify an infinite family of prime knots that bound an arbitrarily-large number of smoothly-distinct slice disks by distinguishing the maps they induce on Khovanov homology. Similar techniques produce an infinite family of knots that each bound a pair of exotic surfaces of arbitrary genus.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Open Access
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2022
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Sundberg, Isaac
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Repository record dc:identifier
- https://repository.brynmawr.edu/dissertations/225
- OAI identifier oai:identifier
- oai:repository.brynmawr.edu:dissertations-1228