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Small genus knots in lens spaces


Speaker: Ken Baker, U Georgia
Location: 693 Kerr
Start time: Wed, Oct 26 2005, 4:10PM

If the exterior of a knot K in a lens space contains a genus g properly embedded incompressible orientable surface with just one boundary component that intersects the meridian of K at least 4g-1 times then K is at most 1-bridge. We will outline the proof and discuss some consequences.