2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99798we discuss the decomposition of the zeta-determinant of the square of the Dirac operator into the contributions coming from the different parts of the manifold in the case of an invertible tangential operator.final versionDifferential GeometrySpectral Theory58J52, 58J32, 81Q70Adiabatic decomposition of the zeta-determinant of the Dirac Laplacian I. The case of an invertible tangential operator. With an appendix by Yoonweon Leetext