Algebraic fibration of certain hyperbolic 4-manifolds
报告题目(Title)：Algebraic fibration of certain hyperbolic 4-manifolds
报告人(Speaker)：马继明 （复旦大学）
地点(Place)：后主楼1124室
时间(Time)：6月14日16:00-17:00
邀请人(Inviter)：高红铸
报告摘要
Algebraic fibration is a generalization of the fibered 3-manifold in higher dimensions. For the 24-cell P and 120-cell E, which can be realized as right-angled polytopes in the 4-dimensional hyperbolic space. There are canonical manifolds associated to them, that is, the so called real moment-angle manifolds over them. Jankiewcz-Norion-Wise showed that the fundamental groups of these two manifolds are algebraic fibered, that is, there is a surjective map from the fundamental group to the infinite cyclic group with finite generated kernel-group. We show the fibered-kernel groups above are not FP_2, in particular, the fibered-kernels are finite generated, but not finite presented groups. This is a joint work with Fangting Zheng.
