2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79293We compute the relative zeta-function metric on the determinant line bundle for a family of elliptic boundary value problems of Dirac-type. To do this we prove a general formula relating the zeta-determinant to a Fredholm determinant over the boundary for a class of higher-order elliptic boundary value problems.11 pagesAnalysis of PDEsHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryDifferential Geometry58G20; 58G26; 11S45; 81T50text