Surfaces in Three- and Four-Dimensional Topology

Zemke, Drew

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