# Denna webbshop är stängd för köp.Klicka här för mer information

• Författare:

• Författare:

• Författare:

## Cameron Mca Gordon

• Förlag:

### Amer Mathematical Society

• Serie: Memoirs of the American Mathematical Society
• Bandtyp: Pocket
• Språk: Engelska
• Utgiven: 200806
• Antal sidor: 140
• Vikt i gram: 236
•  ISBN10: 082184167X
•  ISBN13: 9780821841679

# Toroidal Dehn Fillings on Hyperbolic 3-Manifolds

(Pocket)
av

,

,

## Cameron Mca Gordon

##### Beskrivning:

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 $S3$. As a consequence, this leads to a complete classification of all hyperbolic knots in $S3$ admitting two toroidal surgeries with distance at least $4$.