The spectral torsion for the Connes type operator

TL;DR

This paper explicitly computes the spectral torsion for the Connes type operator on even-dimensional compact manifolds and extends this concept to manifolds with boundary.

Contribution

It provides the first explicit computation of spectral torsion for the Connes type operator and extends the theory to manifolds with boundary.

Findings

Explicit spectral torsion formulas for even-dimensional compact manifolds

Extension of spectral torsion to manifolds with boundary

New insights into the geometric analysis of Connes type operators

Abstract

This paper aims to provide an explicit computation of the spectral torsion associated with the Connes type operator on even dimension compact manifolds.And we also extend the spectral torsion for the Connes type operator to compact manifolds with boundary.