@article{AzzaliWahl2019,
  author    = {Azzali, Sara and Wahl, Charlotte},
  title     = {Two-cocycle twists and Atiyah-Patodi-Singer index theory},
  series = {Mathematical Proceedings of the Cambridge Philosophical Society},
  volume    = {167},
  journal   = {Mathematical Proceedings of the Cambridge Philosophical Society},
  number    = {3},
  publisher = {Cambridge Univ. Press},
  address   = {New York},
  issn      = {0305-0041},
  doi       = {10.1017/S0305004118000427},
  pages     = {437 -- 487},
  year      = {2019},
  abstract  = {We construct eta- and rho-invariants for Dirac operators, on the universal covering of a closed manifold, that are invariant under the projective action associated to a 2-cocycle of the fundamental group. We prove an Atiyah-Patodi-Singer index theorem in this setting, as well as its higher generalisation. Applications concern the classification of positive scalar curvature metrics on closed spin manifolds. We also investigate the properties of these twisted invariants for the signature operator and the relation to the higher invariants.},
  language  = {en}
}