5 citations · 9 across the 7 of their papers we have counts for
4 papers · 1 filter
Spectral -invariants lifted to coverings
Sara Azzali, Sylvie Paycha
The canonical trace and the Wodzicki residue on classical pseudodifferential operators on a closed manifold are characterised by their locality and shown to be preserved under lift…
Two-cocycle twists and Atiyah-Patodi-Singer index theory
Sara Azzali, Charlotte Wahl
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 o…
Large time limit and local L^2-index theorems for families
Sara Azzali, Sebastian Goette, Thomas Schick
We compute explicitly, and without any extra regularity assumptions, the large time limit of the fibrewise heat operator for Bismut-Lott type superconnections in the L^2-setting. T…
Spectral flow, index and the signature operator
Sara Azzali, Charlotte Wahl
We relate the spectral flow to the index for paths of selfadjoint Breuer-Fredholm operators affiliated to a semifinite von Neumann algebra, generalizing results of Robbin-Salamon a…