@article{AzzaliPaycha2020,
  author    = {Azzali, Sara and Paycha, Sylvie},
  title     = {Spectral zeta-invariants lifted to coverings},
  series = {Transactions of the American Mathematical Society},
  volume    = {373},
  journal   = {Transactions of the American Mathematical Society},
  number    = {9},
  publisher = {American Mathematical Society},
  address   = {Providence, RI},
  issn      = {0002-9947},
  doi       = {10.1090/tran/8067},
  pages     = {6185 -- 6226},
  year      = {2020},
  abstract  = {The canonical trace and the Wodzicki residue on classical pseudo-differential operators on a closed manifold are characterised by their locality and shown to be preserved under lifting to the universal covering as a result of their local feature. As a consequence, we lift a class of spectral zeta-invariants using lifted defect formulae which express discrepancies of zeta-regularised traces in terms of Wodzicki residues. We derive Atiyah's L-2-index theorem as an instance of the Z(2)-graded generalisation of the canonical lift of spectral zeta-invariants and we show that certain lifted spectral zeta-invariants for geometric operators are integrals of Pontryagin and Chern forms.},
  language  = {en}
}