APS boundary conditions, eta invariants and adiabatic limits

Dai, Xianzhe

doi:10.1090/S0002-9947-01-02863-X

APS boundary conditions, eta invariants and adiabatic limits
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Trans. Amer. Math. Soc. 354 (2002), 107-122 Request permission

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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