Dirac-Witten Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary

Abstract

In this paper, we obtain two Lichnerowicz type formulas for the Dirac-Witten operators. And we give the proof of Kastler-Kalau-Walze type theorems for the Dirac-Witten operators on 4-dimensional and 6- dimensional compact manifolds with (resp.without) boundary

References in corpus (8)

• Gravity, Non-Commutative Geometry and the Wodzicki Residue
• 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
• Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
• Noncommutative geometry and lower dimensional volumes in Riemannian geometry
• Analysis on Riemannian foliations of bounded geometry