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Dehn fillings of knot manifolds containing essential twice-punctured tori / Steve Boyer, Cameron McA. Gordon, Xingru Zhang

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 295, number 1469 (March 2024)Publisher: Providence, RI : American Mathematical Society, March 2024Description: v, 123 SeitenISBN:
  • 9781470468705
Subject(s): Additional physical formats: 9781470477691 | Erscheint auch als: Dehn fillings of knot manifolds containing essential twice-punctured tori. Online-Ausgabe Providence, RI : American Mathematical Society, 2024. 1 Online-Ressource (v, 123 Seiten)MSC: MSC: 57M25 | 57M50 | 57M99Summary: Summary: We show that if a hyperbolic knot manifold M contains an essential twice-punctured torus F with boundary slope β and admits a filling with slope α producing a Seifert fibred space, then the distance between the slopes α and β 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 α-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.PPN: PPN: 1891784234
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-295.2024,1469 Nicht ausleihbar
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