The Kastler-Kalau-Walze type theorems about J-Witten deformation

Abstract

In this paper, we obtain a Lichnerowicz type formula for J-Witten deformation and give the proof of the Kastler-Kalau-Walze type theorems associated with J-Witten deformation on four-dimensional and six-dimensional almost product Riemannian spin manifold with (respectively without) boundary.

40 pages. arXiv admin note: text overlap with arXiv:2211.06602