The eta invariant of a circle bundle on a Fano manifoldOberseminar Global Analysis and Operator Algebras

by Nikhil Savale (Uni Köln)

Tuesday Jul 1, 2025, 2:15 PM → 3:15 PM Europe/Berlin

Seminar room 1.008 (Mathezentrum)

We consider the spin-c Dirac operator on the unit circle bundle of a positive line bundle over a Fano manifold of even complex dimension. We compute the corresponding eta invariant in terms of Zhang's value of its adiabatic limit. This extends the earlier computation of the author from small to arbitrary values of the adiabatic parameter.