标题： 通过联络的微分Borel等变上同调 显示英文标题

标题： Differential Borel equivariant cohomology via connections

摘要： 对于在光滑流形上作用的紧致李群，我们定义了一个涉及带有连接的主丛的商堆的微分上同调。 这产生了映射到Cartan-Weil等变形式和Borel的等变整数上同调的微分等变上同调群。 我们证明带有连接的等变向量丛的Chern-Weil同态自然地通过微分等变上同调。 显示英文摘要

摘要： For a compact Lie group acting on a smooth manifold, we define the differential cohomology of a certain quotient stack involving principal bundles with connection. This produces differential equivariant cohomology groups that map to the Cartan-Weil equivariant forms and to Borel's equivariant integral cohomology. We show the Chern-Weil homomorphism for equivariant vector bundles with connection naturally factors through differential equivariant cohomology.