Skip to main content
1 of 2
Adam
  • 2.4k
  • 12
  • 13

Two Dehn fillings yielding a lens space?

Let $M$ be an oriented $3$-manifold with $\partial M$ torus. Suppose that two different Dehn fillings $M(r)$ and $M(r')$ are (oriented) homeomorphic to a lens space $L(p,q).$ Does that imply that $M$ is a solid torus?

Adam
  • 2.4k
  • 12
  • 13