Mayer-Vietoris Formula for Determinants of Elliptic Operators of Laplace-Beltrami Type (after Burghelea, Friedlander and Kappeler)

The purpose of this note is to provide a short cut presentation of a Mayer-Vietoris formula due to Burghelea-Friedlander-Kappeler for the regularized determinant in the case of elliptic operators of Laplace Beltrami type in the form typically needed in applications to torsion.