A note on covers of fibred hyperbolic manifolds

• Autores: Jérôme Los, Luisa Paoluzzi, António Salgueiro
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 61, Nº 2, 2017, págs. 517-527
• Idioma: inglés
• Enlaces
  • Texto completo  1    2  
• Resumen

  • For each surface S of genus g > 2 we construct pairs of conjugate pseudo-Anosov maps, ϕ1 and ϕ2, and two non-equivalent covers pi : S˜ −→ S, i = 1, 2, so that the lift of ϕ1 to S˜ with respect to p1 coincides with one of ϕ2 with respect to p2. The mapping tori of the ϕi and their lift provide examples of pairs of hyperbolic 3-manifolds so that the first is covered by the second in two different ways.