Positive scalar curvature, higher rho invariants and localization algebras Academic Article uri icon

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]. © 2014 Elsevier Inc.

author list (cited authors)

  • Xie, Z., & Yu, G.

citation count

  • 15

publication date

  • September 2014