@article{BandaraMcIntoshRosen2017,
  author    = {Bandara, Lashi and McIntosh, Alan and Rosen, Andreas},
  title     = {Riesz continuity of the Atiyah},
  series = {Mathematische Annalen},
  volume    = {370},
  journal   = {Mathematische Annalen},
  number    = {1-2},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {0025-5831},
  doi       = {10.1007/s00208-017-1610-7},
  pages     = {863 -- 915},
  year      = {2017},
  abstract  = {We prove that the Atiyah-Singer Dirac operator in L2 depends Riesz continuously on L∞ perturbations of complete metrics g on a smooth manifold. The Lipschitz bound for the map depends on bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius. Our proof uses harmonic analysis techniques related to Calder{\´o}n's first commutator and the Kato square root problem. We also show perturbation results for more general functions of general Dirac-type operators on vector bundles.},
  language  = {en}
}