论文标题
无穷大的较高的Rho不变和离域ETA不变
Higher rho invariant and delocalized eta invariant at infinity
论文作者
论文摘要
在本文中，我们在完整的Riemannian歧管上介绍了几个新的次级不变性，供Dirac运算符，并在紧凑型组合外部具有均匀的正标度曲率度量，并使用这些次级不变式为DIRAC操作员建立较高的索引定理。我们应用理论来研究二级不变剂的歧管，每个边界面上都有带正标曲率度量的角。
In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact set and use these secondary invariants to establish a higher index theorem for the Dirac operators. We apply our theory to study the secondary invariants for a manifold with corner with positive scalar curvature metric on each boundary face.
