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Circle bundles, adiabatic limits of $η$ -invariants and Rokhlin congruences

Weiping Zhang — 1994

Annales de l'institut Fourier

We present a direct analytic treatment of the Rokhlin congruence formula $[$ R2 $]$ by calculating the adiabatic limit of $η$ -invariants of Dirac operators on circle bundles. Extensions to higher dimensions are obtained.

Real embeddings and eta invariants.

Jean-Michel Bismut; Weiping Zhang — 1993

Mathematische Annalen

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Circle bundles, adiabatic limits of η -invariants and Rokhlin congruences

Real embeddings and eta invariants.

Circle bundles, adiabatic limits of $η$ -invariants and Rokhlin congruences