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Tunnel number one cable knots in lens spaces
Student-Run Geometry/Topology Seminar| Speaker: | Mike Williams, UC Davis |
| Location: | 3106 MSB |
| Start time: | Tue, Jan 22 2008, 1:10PM |
A tunnel number one knot in a closed 3-manifold is a knot whose exterior admits a genus 2 Heegaard splitting. In the 1990's, Mario Eudave-Munoz classified tunnel number one cable knots in the three-sphere. I will discuss his classification and explain how it extends to knots in lens spaces.