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Essential spunnormal surfaces via tropical geometry

Posted on:2014-05-18Degree:Ph.DType:Thesis
University:University of Illinois at ChicagoCandidate:Brasile, AndrewFull Text:PDF
GTID:2458390005490079Subject:Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Geometry, Essential
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