A note on covers of fibred hyperbolic manifolds
Copyright policy )A note on covers of fibred hyperbolic manifolds
For each surface $S$ of genus $g>2$ we construct pairs of conjugate pseudo-Anosov maps, $��_1$ and $��_2$, and two non-equivalent covers $p_i: \tilde S \longrightarrow S$, $i=1,2$, so that the lift of $��_1$ to $\tilde S$ with respect to $p_1$ coincides with that of $��_2$ with respect to $p_2$. The mapping tori of the $��_i$ and their lift provide examples of pairs of hyperbolic $3$-manifolds so that the first is covered by the second in two different ways.
9 pages, 2 figures
- University of Coimbra Portugal
- Universidade de Coimbra Imprensa Portugal
- Centrale Marseille France
- French National Centre for Scientific Research France
- Aix-Marseille University France
(Pseudo-)Anosov diffeomorphisms, 37E30, Regular covers; mapping tori; (pseudo-) Anosov diffeomorphisms, regular covers, Geometric Topology (math.GT), (pseudo-)Anosov diffeomorphisms, Mapping tori, 57M50, Regular covers, 57M60, (pseudo-) anosov diffeomorphisms, 57M10, 57M50, 57M60, 37E30, Mathematics - Geometric Topology, 57M10, FOS: Mathematics, mapping tori, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
(Pseudo-)Anosov diffeomorphisms, 37E30, Regular covers; mapping tori; (pseudo-) Anosov diffeomorphisms, regular covers, Geometric Topology (math.GT), (pseudo-)Anosov diffeomorphisms, Mapping tori, 57M50, Regular covers, 57M60, (pseudo-) anosov diffeomorphisms, 57M10, 57M50, 57M60, 37E30, Mathematics - Geometric Topology, 57M10, FOS: Mathematics, mapping tori, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
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