Quasiconvexity of bands in hyperbolic 3-manifolds

Brian H. Bowditch

Let M by a complete hyperbolic 3-manifold homotopy equivaent to a compact surface Sigma. Let Phi be a subsurface of Sigma, whose boundary is sufficiently short in M. We show that the union of all Margulis tubes homotopic into Phi lifts to a uniformly quasiconvex subset of hyperbolic 3-space.

J. Austral. Math. Soc. 96 (2014) 167--185.


Return to Bibliography.
Return to Research page.
Go to Preprints Page.
Go to bhb's homepage.