BIRS Workshop Lecture Videos

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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.

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