10 citations · 34 across the 13 of their papers we have counts for
14 papers · 1 filter
Quasi-Fuchsian Surfaces In Hyperbolic Link Complements
Joseph D. Masters, Xingru Zhang
We show that every hyperbolic link complement contains closed quasi-Fuchsian surfaces. As a consequence, we obtain the result that on a hyperbolic link complement, if we remove fro…
Kleinian groups with ubiquitous surface subgroups
Joseph D. Masters
We show that every finitely-generated free subgroup of a right-angled, co-compact Kleinian reflection group is contained in a surface subgroup.
Heegaard splittings and virtually Haken Dehn filling II
Joseph D. Masters, William Menasco, Xingru Zhang
We use Heegaard splittings to give a criterion for a tunnel number one knot manifold to be non-fibered and to have large cyclic covers. We also show that such a knot manifold (sati…
Heegaard splittings and 1-relator groups
Joseph D. Masters
We show that if is a fibered, orientable 3-manifold, and if has 1-relator presentation, then the presentation is induced by a Heegaard splitting of . A corollary is…
Closed Quasi-Fuchsian Surfaces In Hyperbolic Knot Complements
Joseph D. Masters, Xingru Zhang
We show that every hyperbolic knot complement contains a closed quasi-Fuchsian surface.
The Growth Rate of the First Betti Number in Abelian Covers of 3-Manifolds
Tim D. Cochran, Joseph D. Masters
We give examples of closed hyperbolic 3-manifolds with first Betti number 2 and 3 for which no sequence of finite abelian covering spaces increases the first Betti number. For 3-ma…