Regenerating hyperbolic cone structures from Nil

  • Joan Porti
  • Published 2002


Let O be a three-dimensional Nil–orbifold, with branching locus a knot Σ transverse to the Seifert fibration. We prove that O is the limit of hyperbolic cone manifolds with cone angle in (π − ε, π). We also study the space of Dehn filling parameters of O − Σ. Surprisingly it is not diffeomorphic to the deformation space constructed from the variety of… (More)


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