most citedHarmonic deformations of hyperbolic 3-manifolds

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math.GT2003★ 1 cited

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…

math.GT2002

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…