arXiv
Open Access
2021
Exceptional surgeries in 3-manifolds
Kenneth L. Baker
Neil R. Hoffman
Abstrak
Myers shows that every compact, connected, orientable $3$--manifold with no $2$--sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every $3$--manifold subject to the above conditions contains a hyperbolic knot which admits a non-trivial non-hyperbolic surgery, a toroidal surgery in particular. We conclude with a question and a conjecture about reducible surgeries.
Topik & Kata Kunci
Penulis (2)
K
Kenneth L. Baker
N
Neil R. Hoffman
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
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- en
- Sumber Database
- arXiv
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- Open Access ✓