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Kakimizu complex and an application
Student-Run Geometry/Topology SeminarSpeaker: | Bassam Saad, UC Davis |
Location: | 2112 MSB |
Start time: | Tue, Mar 9 2010, 12:10PM |
The Kakimizu complex characterizes the disjoint isotopy classes of orientable seifert surfaces in the complement of a given knot. When restricted to incompressible surfaces, Kakimizu gives a useful distance metric on the 1-skeleton of the complex. He then uses the metric, along with sutured manifold theory, and plumbing to help classify incompressible seiftert surfaces for prime knots with 10 links or less.