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Speaker: Sara Azzali, U. Sapienza Roma
Title: Secondary invariants for two-cocycle twists
Abstract: In this talk, we describe the construction of 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 will see how to prove an Atiyah-Patodi-Singer index theorem in this setting, and discuss some geometric applications. (Joint work with Charlotte Wahl).
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