A note on covers of fibred hyperbolic manifolds
Los, Jérôme (Aix-Marseille Université)
Paoluzzi, Luisa (Aix-Marseille Université)
Salgueiro, António (Universidade de Coimbra. Department of Mathematics)

Date:	2017
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Regular covers ; Mapping tori ; (pseudo-) anosov diffeomorphisms
Published in:	Publicacions matemàtiques, Vol. 61 Núm. 2 (2017) , p. 517-527 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/327589
DOI: 10.5565/PUBLMAT6121707

11 p, 385.7 KB

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