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Sam Nead
Sam Nead
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Two Dehn fillings yielding athe same lens space?

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

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?

Two Dehn fillings yielding the same lens space?

Let $M$ be an oriented three-manifold with $\partial M$ a 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?

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Adam
Adam
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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?