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| book details |
Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori
By (author)
Steven Boyer
, By (author)
Cameron McA. Gordon
, By (author)
Xingru Zhang
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| book description |
We show that if a hyperbolic knot manifold M contains an essential twicepunctured torus F with boundary slope ? and admits a filling with slope ? producing a Seifert fibred space, then the distance between the slopes ? and ? is less than or equal to 5 unless M is the exterior of the figure eight knot. The result is sharp; the bound of 5 can be realized on infinitely many hyperbolic knot manifolds. We also determine distance bounds in the case that the fundamental group of the ?-filling contains no non-abelian free group. The proofs are divided into the four cases F is a semi-fibre, F is a fibre, F is non-separating but not a fibre, and F is separating but not a semi-fibre, and we obtain refined bounds in each case.
| product details |
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Publisher |
American Mathematical Society
Published date |
31 May 2024
Language |
Format |
Paperback / softback
Pages |
106
Dimensions |
254 x 178 x 0mm (L x W x H)
Weight |
272g
ISBN |
978-1-4704-6870-5
Readership Age |
BISAC |
mathematics / geometry / general
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