论文标题
转换组的规范控制的共同体
Norm-controlled cohomology of transformation groups
论文作者
论文摘要
我们将Brandenbursky和Marcinkowski的结果概括为转型组有界的共同体,以实现无限的体积案例。为了陈述结果,我们介绍了规范控制的共同体学的概念,作为有限的共同体学的概括。这种同种学理论还为相对准态性提供了一个框架。
We generalize the result of Brandenbursky and Marcinkowski for the bounded cohomology of transformation groups to infinite volume case. To state the result, we introduce the notion of norm controlled cohomology as a generalization of bounded cohomology. This cohomology theory also provides a framework for relative quasimorphisms.