35 citations · 52 across the 4 of their papers we have counts for
4 papers
From the hyperbolic 24-cell to the cuboctahedron
Steven P. Kerckhoff, Peter A. Storm
We describe a family of 4-dimensional hyperbolic orbifolds, constructed by deforming an infinite volume orbifold obtained from the ideal, hyperbolic 24-cell by removing two walls.…
The shape of hyperbolic Dehn surgery space
Craig D. Hodgson, Steven P. Kerckhoff
In this paper we develop a new theory of infinitesimal harmonic deformations for compact hyperbolic 3-manifolds with ``tubular boundary''. In particular, this applies to complement…
Harmonic deformations of hyperbolic 3-manifolds
Craig D. Hodgson, Steven P. Kerckhoff
This paper gives an exposition of the authors' harmonic deformation theory for 3-dimensional hyperbolic cone-manifolds. We discuss topological applications to hyperbolic Dehn surge…
Universal bounds for hyperbolic Dehn surgery
Craig D. Hodgson, Steven P. Kerckhoff
This paper gives a quantitative version of Thurston's hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of non-hyperbolic Dehn fillings…