BIRS Workshop Lecture Videos
The Eta Invariants of Berger Spheres Weingart, Gregor
The index theorem of Atiyah-Patodi-Singer describes the index of a twisted Dirac operator on an even dimensional Riemannian manifold with totally geodesic boundary as the interior integral of the usual index density and an additional contribution coming the boundary known as the eta invariant. In my talk I will describe the calculation of the eta invariants for the Berger metrics on odd dimensional spheres using a fairly explicit formula for the transgression form arising from boundaries, which are not totally geodesic.
Item Citations and Data
Attribution-NonCommercial-NoDerivatives 4.0 International