论文标题
在Bordism小组中进行小组行动
On the bordism group for group actions on the torus
论文作者
论文摘要
在此简短的说法中,我们研究了在圆环上的群体行为的界症问题,并给出了通过对身份的同位素同位素对圆环作用的群体的例子,该身份无法扩展到对边界的3个manifold上的作用。这解决了作者以前的工作中提出的一个问题。
In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that cannot be extended to an action on a bounding 3-manifold. This solves a question raised in the previous work of the authors.