Abstract: The primitive/primitive and primitive/Seifert knots are families of knots on the genus 2 surface with the property that surgery at the surface slopes yields lens space and Seifert fibered space surgeries. We call two knots from this class surgery equivalent if they have the same surgery at the surface slope. In this talk, we will discuss what is known about surgery equivalent primitive/Seifert knots. This is joint work with Jeffrey Meier.
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