Virtual Domination of 3-manifolds III

Abstract

We prove that for any oriented cusped hyperbolic 3-manifold $M$ and any compact oriented 3-manifold $N$ with tori boundary, there exists a finite cover $M^{\prime }$ of $M$ that admits a degree-8 map $f:M^{\prime }\to N$, i.e. $M$ virtually 8-dominates $N$.

63 pages, 9 figures. Comments are welcome!

References in corpus (2)

• Nearly Fuchsian surface subgroups of finite covolume Kleinian groups
• A characterization on separable subgroups of 3-manifold groups