Links with no exceptional surgeries

• Autores: David Futer, Jessica S. Purcell
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 82, Nº 3, 2007, págs. 629-664
• Idioma: inglés
• DOI: 10.4171/cmh/105
• Texto completo no disponible (Saber más ...)
• Resumen

  • We show that if a knot admits a prime, twist-reduced diagram with at least 4 twist regions and at least 6 crossings per twist region, then every non-trivial Dehn filling of that knot is hyperbolike. A similar statement holds for links. We prove this using two arguments, one geometric and one combinatorial. The combinatorial argument further implies that every link with at least 2 twist regions and at least 6 crossings per twist region is hyperbolic and gives a lower bound for the genus of a link.