Higher rho invariant and delocalized eta invariant at infinity

Hang Wang  (East China Normal University)

10:30-11:30,August 1,2023   ĸ¥ (Wenfu Building) 219


In the joint work with Peter Hochs and Bai-Ling Wang, the equivariant Atiyah-Patodi-Singer index theorem can be obtained by choosing a suitable parametrix. This method can be extended to the more general setting of a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact set. Under this setting we introduce several secondary invariants for Dirac operators and use them 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. This is joint work with Xiaoman Chen, Hongzhi Liu and Guoliang Yu.

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