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Surfaces in Three- and Four-Dimensional Topology
dc.contributor.author | Zemke, Drew | |
dc.date.accessioned | 2018-10-23T13:21:54Z | |
dc.date.available | 2018-10-23T13:21:54Z | |
dc.date.issued | 2018-05-30 | |
dc.identifier.other | Zemke_cornellgrad_0058F_10779 | |
dc.identifier.other | http://dissertations.umi.com/cornellgrad:10779 | |
dc.identifier.other | bibid: 10489422 | |
dc.identifier.uri | https://hdl.handle.net/1813/59338 | |
dc.description.abstract | We investigate two ways in which a surface embedded or immersed in a manifold can reveal information about topology of the ambient space. In particular, we prove a special case of the Simple Loop Conjecture for 3-Manifolds and the study trisections of 4-manifolds from the perspectives of the mapping class group and the curve complex of a surface. | |
dc.language.iso | en_US | |
dc.subject | Mathematics | |
dc.title | Surfaces in Three- and Four-Dimensional Topology | |
dc.type | dissertation or thesis | |
thesis.degree.discipline | Mathematics | |
thesis.degree.grantor | Cornell University | |
thesis.degree.level | Doctor of Philosophy | |
thesis.degree.name | Ph. D., Mathematics | |
dc.contributor.chair | Manning, Jason F. | |
dc.contributor.committeeMember | Holm, Tara S. | |
dc.contributor.committeeMember | Riley, Timothy R. | |
dcterms.license | https://hdl.handle.net/1813/59810 | |
dc.identifier.doi | https://doi.org/10.7298/X4VT1Q9D |