The smallest Haken hyperbolic polyhedra

Abstract

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.

arXiv comment15 pages, 5 figures, final version to appear

References in corpus (2)

• Organizing Volumes of Right-Angled Hyperbolic Polyhedra
• Lower bounds on volumes of hyperbolic Haken 3-manifolds