Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665723 | Advances in Mathematics | 2014 | 44 Pages |
Abstract
In this paper, we use localization algebras to study higher rho invariants of closed spin manifolds with positive scalar curvature metrics. The higher rho invariant is a secondary invariant and is closely related to positive scalar curvature problems. The main result of the paper connects the higher index of the Dirac operator on a spin manifold with boundary to the higher rho invariant of the Dirac operator on the boundary, where the boundary is endowed with a positive scalar curvature metric. Our result extends a theorem of Piazza and Schick [27, Theorem 1.17].
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Zhizhang Xie, Guoliang Yu,