The spectral torsion for the Connes type operator

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.

References in corpus (15)

• Gravity coupled with matter and foundation of non-commutative geometry
• Gravity, Non-Commutative Geometry and the Wodzicki Residue
• Beyond the Spectral Standard Model: Emergence of Pati-Salam Unification
• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Gravity and the Noncommutative Residue for Manifolds with Boundary
• A Note on the Wodzicki Residue
• Lower dimensional volumes and the Kastler-Kalau-Walze type theorem for Manifolds with Boundary
• Geometry and the Quantum: Basics
• Grand Unification in the Spectral Pati-Salam Model
• A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity
• Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary
• Chiral Asymmetry and the Spectral Action
• Spectral action for scalar perturbations of Dirac operators
• Geometry of the spectral parameter and renormalisation of integrable $\sigma$-models
• Spectral Torsion