论文标题
通过简单的观点较高的载体
Higher Holonomy via a Simplicial Viewpoint
论文作者
论文摘要
在本文中,我们构建了一个使用一个赋值类别的与简单集的联系的单位。为了构建它,我们在简单集合上开发了光纤积分,并在简单集上定义了迭代的积分。这是陈的迭代积分的比喻。我们还证明了斯托克斯定理的光纤积分。
In this paper, we construct an analogy of holonomy of connection to simplicial sets using A-infinity-categories. To construct it, we develop fiberwise integrals on simplicial sets and define an iterated integral on simplicial sets. It is an analogy to Chen's iterated integral. We also prove an analogy of Stokes's theorem for fiberwise integrals.