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Berge knots
Student-Run Geometry/Topology Seminar| Speaker: | Mike Williams, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Apr 6 2006, 1:10PM |
In an unpublished manuscript, John Berge described nine families of knots in the 3-sphere which admit lens space surgeries. Berge calls these knots "doubly primitive" and other people call them "Berge knots". Berge conjectured that these are the only knots in the 3-sphere which admit lens space surgeries. The conjecture is still open. I will describe the Berge knots and explain some of their properties.