TY  - JOUR
A1  - Azzali, Sara
A1  - Paycha, Sylvie
T1  - Spectral zeta-invariants lifted to coverings
JF  - Transactions of the American Mathematical Society
N2  - 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.
Y1  - 2020
U6  - https://doi.org/10.1090/tran/8067
SN  - 0002-9947
SN  - 1088-6850
VL  - 373
IS  - 9
SP  - 6185
EP  - 6226
PB  - American Mathematical Society
CY  - Providence, RI
ER  -