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Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3☆

Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3☆

We relate a recently introduced non-local invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various η-invariants: on the one hand a renormalized η-invariant appearing when considering a sequence of metrics converging to the CR structure by expanding the size of the Reeb field; on the other …