44 citations · 83 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
Higher rho-invariants and the surgery structure set
Charlotte Wahl
We study noncommutative eta- and rho-forms for homotopy equivalences. We prove a product formula for them and show that the rho-forms are well-defined on the structure set. We also…
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…
The Atiyah-Patodi-Singer index theorem for Dirac operators over C*-algebras
Charlotte Wahl
We prove an Atiyah-Patodi-Singer index theorem for Dirac operators twisted by C*-vector bundles. We use it to derive a general product formula for eta-forms and to define and study…
Product formula for Atiyah-Patodi-Singer index classes and higher signatures
Charlotte Wahl
We define generalized Atiyah-Patodi-Singer boundary conditions of product type for Dirac operators associated to C*-vector bundles on the product of a compact manifold with boundar…