Asymptotics of the eta invariant

Published 27 Mar 2014 in math.DG and math.SP | (1403.7020v2)

Abstract: We prove an asymptotic bound on the eta invariant of a family of coupled Dirac operators on an odd dimensional manifold. In the case when the manifold is the unit circle bundle of a positive line bundle over a complex manifold, we obtain precise formulas for the eta invariant.

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Authors (1)

Nikhil Savale

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