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arXiv · 1302.4418

Positive scalar curvature, higher rho invariants and localization algebras

Zhizhang Xie·Guoliang Yu
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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.

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Zhizhang Xie, Guoliang Yu. 2013-02-18. Positive scalar curvature, higher rho invariants and localization algebras. https://arxiv.org/abs/1302.4418

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