标题： 有界微分形式和有界函数的不变量 显示英文标题

标题： Bounded differential forms and coinvariants of bounded functions

摘要： 给定一个群$G$通过提升变换在光滑流形$M$上紧致作用，最近由Kato、Kishimoto和Tsutaya定义了一个积分映射，从$M$的最高次数有界德拉姆上同调到不变量$\ell^\infty(G)_G$。我们推广了它的定义并证明它是一个同构。在存在边界的情况下，考虑了有界德拉姆上同调的相对版本。 显示英文摘要

摘要： Given a group $G$ acting cocompactly on a smooth manifold $M$ by deck transformations, there is an integration map, defined recently by Kato, Kishimoto and Tsutaya, from the top-degree bounded de Rham cohomology of $M$ to the coinvariants $\ell^\infty(G)_G$. We generalize its definition and show that it is an isomorphism. In the presence of boundary, a relative version of bounded de Rham cohomology is considered.