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APS boundary conditions, eta invariants and adiabatic limits |
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| Authors: | Xianzhe Dai |
| Institution: | Department of Mathematics, University of California, Santa Barbara, California 93106 |
| Abstract: | We prove an adiabatic limit formula for the eta invariant of a manifold with boundary. The eta invariant is defined using the Atiyah-Patodi-Singer boundary condition and the underlying manifold is fibered over a manifold with boundary. Our result extends the work of Bismut-Cheeger to manifolds with boundary. |
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