On Dehn surgeries between S^1xS^2 and lens spaces
Dr A. Lecuona (UniversitÃ© de Aix-Marseille )
Monday 4th February, 2013 15:00-16:00 Mathematics 203
We consider knots in S^1 x S^2 with a Dehn surgery to a lens space and how this parallels what happens for knots in S^3. The Cyclic Surgery Theorem enables a classification for non-longitudinal surgeries, while Berge's families of doubly primitive knots in S^3 motivate our conjectural classification for longitudinal surgeries. We will compare this conjectural picture with the Berge Conjecture and propose a means of relating the two.