Date of Award
Doctor of Philosophy
Craig Guilbault, Boris Okun, Rebecca Winarski, Allen Bell
Chargeless, Geometric Group Theory, Geometric Topology, Mixed Manifold, Virtually Compact Special
In this dissertation, we complete the classification of which compact 3-manifolds have a virtually compact special fundamental group by addressing the case of mixed 3-manifolds. A compact aspherical 3-manifold M is mixed if its JSJ decomposition has at least one JSJ torus and at least one hyperbolic block. We show the fundamental group of M is virtually compact special iff M is chargeless, i.e. each interior Seifert fibered block has a trivial Euler number relative to the fibers of adjacent blocks.
Tidmore, Joseph Dixon, "Cocompact Cubulations of Mixed 3-Manifolds" (2017). Theses and Dissertations. 1546.