University of Illinois at Chicago
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Essential Spunnormal Surfaces via Tropical Geometry

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thesis
posted on 2015-10-25, 00:00 authored by Andrew Brasile
Methods 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, Marc

Department

Mathematics, Statistics and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Committee Member

Dumas, David Shalen, Peter Verschelde, Jan Dunfield, Nathan

Submitted date

2013-08

Language

  • en

Issue date

2013-10-24

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    Keywords

    spunnormalideal triangulationessential surfacetropical geometryboundary slopedeformation variety

    Licence

    In Copyright

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