The general Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator

Abstract

In [21] and [22], we proved the Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator on 3-dimensional, 4-dimensional and 6-dimensional almost product Riemannian spin manifold with boundary. In this paper, we generalize our previous conclusions and establish the proof of the general Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator on even-dimensional almost product Riemannian spin manifold with boundary.

32 pages. arXiv admin note: text overlap with arXiv:2211.06602, arXiv:2203.10467, arXiv:2312.00154, arXiv:2401.10909