论文标题
Gambaudo - 界限的共同体结构
Gambaudo--Ghys construction on bounded cohomology
论文作者
论文摘要
我们考虑了一个广义的gambaudo - Ghys建设有限的共同体，并证明了它的注射效率。作为推论，我们证明了2盘上的保护区域差异的第三界共同体学是无限维度的。我们还证明了2个球，2螺旋和环的情况相似的结果。
We consider a generalized Gambaudo--Ghys construction on bounded cohomology and prove its injectivity. As a corollary, we prove that the third bounded cohomology of the group of area-preserving diffeomorphisms on the 2-disk is infinite-dimensional. We also prove similar results for the case of the 2-sphere, the 2-torus and the annulus.
