Virtual Domination of $3$-manifolds

Abstract

For any closed oriented hyperbolic $3$-manifold $M$, and any closed oriented $3$-manifold $N$, we will show that $M$ admits a finite cover $M^{\prime }$, such that there exists a degree-$2$ map $f:M^{\prime }\to N$, i.e. $M$ virtually $2$-dominates $N$.

35 pages, 9 figures, comments and suggestions are welcomed

References in corpus (2)

• Chern--Simons theory, surface separability, and volumes of 3-manifolds
• Non-zero degree maps between 3-manifolds

Cited by in corpus (7)

• Virtual 1-domination of 3-manifolds
• Positive simplicial volume implies virtually positive Seifert volume for $3$-manifolds
• Strict contractions and exotic SO_0(d,1) quotients
• Small covers of graph-associahedra and realization of cycles
• Virtual homological spectral radii for automorphisms of surfaces
• Virtual domination of 3-manifolds II
• Virtual Domination of 3-manifolds III