论文标题
一组同态形态的捆绑自动形态的翻译号和旋转的数字
Translation numbers for bundle automorphisms and a cocycle on a group of homeomorphisms
论文作者
论文摘要
我们介绍和研究翻译编号，用于主体$ \ mathbb {z} $ - 捆绑和平坦的princive $ \ mathbb {r} $ - 捆绑的自动形态。我们使用它们来显示出特征性的叶状束类别的消失结果，并检测束束自动形态的不合适元素。
We introduce and study translation numbers for automorphisms of principal $\mathbb{Z}$-bundles and flat principal $\mathbb{R}$-bundles. We use them to show a vanishing result of a characteristic class of foliated bundles and to detect undistortion elements in the group of bundle automorphisms.
