%0 Journal Article %T The bumping set and the characteristic submanifold %A Genevieve S. Walsh %J Mathematics %D 2012 %I arXiv %R 10.2140/agt.2014.14.283 %X We show here that the Nielsen core of the bumping set of the domain of discontinuity of a Kleinian group $\Gamma$ is the boundary of the characteristic submanifold of the associated 3-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. %U http://arxiv.org/abs/1208.1700v2