The equivariant index theorem with boundary.

24.10.2024, 16:15 Uhr  –  Raum 0.14
Forschungsseminar Differentialgeometrie

Lennart Ronge

Given a Dirac type operator on a manifold with boundary and a group action that preserves all relevant structures, one can define a generalized index for any group element. Analogous to the APS index theorem, the Equivariant index theorem gives a formula for this index in terms of an integral of a topological contribution over the manifold and a boundary contribution (generalizing the eta invariant).