The smallest Haken hyperbolic polyhedra

Details The smallest Haken hyperbolic polyhedra The smallest Haken hyperbolic polyhedra

2011-08-23

arxiv.org/abs/1108.4621v2

Mathematics

Geometric Topology

15 pages, 5 figures, final version to appear

Scientific paper

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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