Non-isometric hyperbolic 3-orbifolds with the same topological type and volume

2019/12/11 by Los, Jérôme, Paoluzzi, Luisa, Salgueiro, Antonio
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1912.05378

Abstract

We construct pairs of non-isometric hyperbolic 3-orbifolds with the same topological type and volume. Topologically these orbifolds are mapping tori of pseudo-Anosov maps of the surface of genus 2, with singular locus a fibred (hyperbolic) link with five components.

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