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The smallest Haken hyperbolic polyhedra

Published 23 Aug 2011 in math.GT | (1108.4621v2)

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.

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