Asymptotics of the Eta Invariant |
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Authors: | Nikhil Savale |
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Institution: | 1. Département de Mathématique, Université Paris-Sud, 91405, Orsay, France
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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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