A geometrically bounding hyperbolic link complement

Abstract

A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, finite-volume hyperbolic 3-manifold that geometrically bounds. The 3-manifold is the complement of a link with eight components, and its volume is roughly equal to 29.311.

23 pages, 19 figures

Cited by in corpus (5)

• Symmetries of hyperbolic 4-manifolds
• The complement of the figure-eight knot geometrically bounds
• Many cusped hyperbolic 3-manifolds do not bound geometrically
• Counting cusped hyperbolic 3-manifolds that bound geometrically
• Geometrically bounding 3-manifold, volume and Betti number