A Kastler-Kalau-Walze type theorem for the J-twist of the Dirac operator with torsion

Abstract

In this paper, we give a Lichnerowicz type formula for the J-twist of the Dirac operator with torsion. And we prove a Kastler-Kalau-Walze type theorem for the J-twist of the Dirac operator with torsion on 4-dimensional and 6-dimensional almost product Riemannian spin manifold with boundary.

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