论文标题
封闭的1形和扭曲的共同体学
Closed 1-Forms and Twisted Cohomology
论文作者
论文摘要
我们表明，与紧凑型歧管上的封闭1形相关的第一个扭曲的共同体学组与基本组的某些二维表示有关。特别是，我们构建了具有非平凡扭曲的共同体学的无处散落的1形式的例子。
We show that the first twisted cohomology group associated to closed 1-forms on compact manifolds is related to certain 2-dimensional representations of the fundamental group. In particular, we construct examples of nowhere-vanishing 1-forms with non-trivial twisted cohomology.
