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arXiv · 2004.00486

Higher rho invariant and delocalized eta invariant at infinity

Xiaoman Chen·Hongzhi Liu·Hang Wang·Guoliang Yu
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Abstract

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.

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Xiaoman Chen, Hongzhi Liu, Hang Wang, Guoliang Yu. 2020-04-01. Higher rho invariant and delocalized eta invariant at infinity. https://arxiv.org/abs/2004.00486

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