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arxiv: 1108.4621 · v2 · pith:ETHMOKJ4new · submitted 2011-08-23 · 🧮 math.GT

The smallest Haken hyperbolic polyhedra

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keywords hyperbolicessentialalongcanonicalcontainscorrespondingcoxeterdecomposition
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We determine the lowest volume hyperbolic Coxeter polyhedron whose corresponding hyperbolic polyhedral 3-orbifold contains an essential 2-suborbifold, up to a canonical decomposition along essential hyperbolic triangle 2-suborbifolds.

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