论文标题
三曼群III的虚拟统治
Virtual Domination of 3-manifolds III
论文作者
论文摘要
我们证明,对于任何带有螺母的螺旋螺旋3个manifold $ m $,以及任何带有Tori边界的紧凑型3-manifold $ n $,都存在有限的封面$ M'$ M'$ M $ $ M $,该$ M $ a $ f:m $ f:m'\ f:m'
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 $M'$ of $M$ that admits a degree-8 map $f:M'\to N$, i.e. $M$ virtually 8-dominates $N$.