Infinite-Dimensional Stochastic approach to Geometrical Objects

我们（Mitoma-Nishikawa）给出了抽象Wiener空间中关于Wilson线的chen - simons积分的微扰1环近似的数学定义，并证明了渐近展开定理。进一步计算了三维曲面的系数，得到了连杆不变量。结果现在准备提交。我们（Albeverio-Mitoma）通过Wiener空间给出了摄动chen - simons积分有限部分的数学定义和无限部分的渐近估计。结果发表在波恩大学的SFB，611上。

We,(Mitoma-Nishikawa),gave a mathematical definition for perturbative 1-loop approximation of the Chern-Simons integral with respect to the Wilson lines in an abstract Wiener space setting and proved the asymptotic expansion theorem. Further we calculate the copefficients for 3-dimensional surface and obtained link invariants. The result is now prepared for submission. We,(Albeverio-Mitoma),gave mathematical definitions for finite part and asymptotic estimate for infinite part of perturbative Chern-Simons integral via Wiener space. The result is appeared in SFB,611 in Bonn University.