Positive scalar curvature, higher rho invariants and localization algebras

@article{Xie2013PositiveSC,
  title={Positive scalar curvature, higher rho invariants and localization algebras},
  author={Z. Xie and G. Yu},
  journal={arXiv: K-Theory and Homology},
  year={2013}
}
  • Z. Xie, G. Yu
  • Published 2013
  • Mathematics
  • arXiv: K-Theory and Homology
  • 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… CONTINUE READING

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