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

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• Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
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