loop空间框架丛的随机上同调
Stochastic cohomology of the frame bundle of the loop space
摘要：
研究了基loop空间的标架丛上的微分形式。它们是随机的，因为我们在这个框架丛上放置了一个概率测度。为了理解当我们看两个水平向量场的李括号时出现的曲率现象，我们对微分形式的核施加了一些正则性假设。这使我们能够定义一个外部的随机微分导数在这些形式。
英文摘要：
We study the differential forms over the frame bundle of the based loop space. They are stochastics in the sense that we put over this frame bundle a probability measure. In order to understand the curvatures phenomena which appear when we look at the Lie bracket of two horizontal vector fields, we impose some regularity assumptions over the kernels of the differential forms. This allows us to define an exterior stochastic differential derivative over these forms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
