论文标题
映射托里的内态性
Endomorphisms of mapping tori
论文作者
论文摘要
我们根据具有非零Euler特征的残留有限的Poincaré二元组的HOPF型属性映射Tori进行分类。这是一般的,并提供了针对3个纤维的类似分类的新证明。给出了各种申请。特别是,我们推断出Gromov双曲线基团的刚性结果与上述映射Tori具有微不足道的中心。
We classify in terms of Hopf-type properties mapping tori of residually finite Poincaré Duality groups with non-zero Euler characteristic. This generalises and gives a new proof of the analogous classification for fibered 3-manifolds. Various applications are given. In particular, we deduce that rigidity results for Gromov hyperbolic groups hold for the above mapping tori with trivial center.