Spectral Torsion for Nonminimal de-Rham Hodge Operator

In this paper, we investigate some new spectral torsion which is the extension of spectral torsion for Dirac operators, and compute the spectral torsion associated with nonminimal de Rham-Hodge operators on manifolds with (or without) boundary. The novelty of this paper lies in the calculation related to the noncommutative residue for the inverse of the Laplacion with non-scalar principle symbols.