Some results on cobordisms between 3-manfolds with constraints on H_1
数学专题报告
报告题目(Title)：Some results on cobordisms between 3-manfolds with constraints on H_1
报告人(Speaker)：Zhongzi Wang (Peking University)
地点(Place)：后主楼1124
时间(Time)：2025年10月29日（周三）11:00-12:00
邀请人(Inviter)：田垠
报告摘要
We define the following equivalence relation between 3-manifolds: Given smooth closed oriented 3-manifolds M_0, M_1, say M_0, M_1 are H_1-injective cobordant if there is an smooth oriented cobordism W from M_0 to M_1 such that the inclusion maps from M_i to W are injections on H_1. The equivalence classes form an abelian semigroup with zero-element represented by the 3-sphere. We also proved this semigroup contains elements which are not invertible. This is a joint work with Jianfeng Lin.
