Cameron McA Gordon 
Toroidal Dehn Fillings on Hyperbolic 3-Manifolds [PDF ebook] 

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The authors determine all hyperbolic $3$-manifolds $M$ admitting two toroidal Dehn fillings at distance $4$ or $5$. They show that if $M$ is a hyperbolic $3$-manifold with a torus boundary component $T_0$, and $r, s$ are two slopes on $T_0$ with $/Delta(r, s) = 4$ or $5$ such that $M(r)$ and $M(s)$ both contain an essential torus, then $M$ is either one of $14$ specific manifolds $M_i$, or obtained from $M_1, M_2, M_3$ or $M_{14}$ by attaching a solid torus to $/partial M_i – T_0$. All the manifolds $M_i$ are hyperbolic, and the authors show that only the first three can be embedded into $S^3$. As a consequence, this leads to a complete classification of all hyperbolic knots in $S^3$ admitting two toroidal surgeries with distance at least $4$.

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Format PDF ● Pages 140 ● ISBN 9781470405151 ● Publisher American Mathematical Society ● Downloadable 3 times ● Currency EUR ● ID 6597460 ● Copy protection Adobe DRM
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