On Dehn surgeries between S^1xS^2 and lens spaces

Dr A. Lecuona (Université 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.

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