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Essential Spunnormal Surfaces via Tropical Geometry

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thesis
posted on 25.10.2015, 00:00 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

24/10/2013

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