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Essential Spunnormal Surfaces via Tropical Geometry
thesis
posted on 2015-10-25, 00:00 authored by Andrew BrasileMethods for finding essential surfaces in 3-manifolds have been given in several seminal papers in 3-manifold topology and geometry. This thesis continues in this vein by giving simple, sufficient conditions for a spunnormal surface to be essential in a compact, orientable 3-manifold with torus boundary. The proof utilizes a result from tropical geometry.
History
Advisor
Culler, MarcDepartment
Mathematics, Statistics and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Dumas, David Shalen, Peter Verschelde, Jan Dunfield, NathanSubmitted date
2013-08Language
- en
Issue date
2013-10-24Usage metrics
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