Abstract
We show here that the Nielsen core of the bumping set of the domain of discontinuity of a Kleinian group is the boundary of the characteristic submanifold of the associated –manifold with boundary. Some examples of interesting characteristic submanifolds are given. We also give a construction of the characteristic submanifold directly from the Nielsen core of the bumping set. The proofs are from “first principles”, using properties of uniform domains and the fact that quasi-conformal discs are uniform domains.
Citation
Genevieve S Walsh. "The bumping set and the characteristic submanifold." Algebr. Geom. Topol. 14 (1) 283 - 297, 2014. https://doi.org/10.2140/agt.2014.14.283
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