TY  - JOUR
A1  - Azzali, Sara
A1  - Wahl, Charlotte
T1  - Two-cocycle twists and Atiyah-Patodi-Singer index theory
JF  - Mathematical Proceedings of the Cambridge Philosophical Society
N2  - 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.
Y1  - 2019
U6  - https://doi.org/10.1017/S0305004118000427
SN  - 0305-0041
SN  - 1469-8064
VL  - 167
IS  - 3
SP  - 437
EP  - 487
PB  - Cambridge Univ. Press
CY  - New York
ER  -