The J-twist DJ of the Dirac operator and the Kastler–Kalau–Walze type theorem for six-dimensional manifolds with boundary

Abstract

In [S. Liu and Y. Wang, A Kastler–Kalau–Walze type theorem for the J-twist DJ of the Dirac operator, preprint (2022), arXiv:2203.10467], the authors proved a Kastler–Kalau–Walze type theorem for the [Formula: see text]-twist [Formula: see text] of the Dirac operator on [Formula: see text]-dimensional and [Formula: see text]-dimensional almost product Riemannian spin manifold with boundary. In this paper, we develop the Kastler–Kalau–Walze type theorem for the [Formula: see text]-twist [Formula: see text] of the Dirac operator on a [Formula: see text]-dimensional almost product Riemannian spin manifold with boundary.