Asymptotics of the Eta Invariant

作者：Savale Nikhil^*

来源：Communications in Mathematical Physics, 2014, 332(2): 847-884.

DOI：10.1007/s00220-014-2114-x

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.

• 出版日期2014-12