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Fibered Knots

Student-Run Geometry/Topology Seminar

Speaker: Mike Williams, UC Davis
Location: 2112 MSB
Start time: Thu, Jan 5 2006, 1:10PM

A fibered knot in the 3-sphere is roughly one whose complement is a twisted product of a spanning surface with a circle. These knots have nice relationships with certain covering spaces, surface homeomorphisms, fundamental groups and Alexander invariants. I plan to discuss these relationships and give some examples. The main parts of the talk should be accessible to those with knowledge of basic algebraic topology and a vague notion of what an n-manifold is (n < 4).