Abstract
Let be a three-dimensional –orbifold, with branching locus a knot transverse to the Seifert fibration. We prove that is the limit of hyperbolic cone manifolds with cone angle in . We also study the space of Dehn filling parameters of . Surprisingly it is not diffeomorphic to the deformation space constructed from the variety of representations of . As a corollary of this, we find examples of spherical cone manifolds with singular set a knot that are not locally rigid. Those examples have large cone angles.
Citation
Joan Porti. "Regenerating hyperbolic cone structures from Nil." Geom. Topol. 6 (2) 815 - 852, 2002. https://doi.org/10.2140/gt.2002.6.815
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