Braid groups, iterated integrals and geometric structures of configuration spaces

确定了共形场论中映射类群的单值表示的象的结构。我们证明了诺维科夫上同调的补充超平面安排消失，除了在中间的维度为一大类的阿贝尔表示的基本组。

We determined the structure of the image of the monodromy representations of mapping class groups in conformal field theory. We proved that the Novikov cohomology for the complement of a hyperplane arrangement vanishes except in the middle dimension for a large class of abelian representations of the fundamental group.