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

Abstract

In [22], the authors proved a Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator on 3-dimensional and 4-dimensional almost product Riemannian spin manifold with boundary. In this paper, we develop the Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator on a 6-dimensional almost product Riemannian spin manifold with boundary.

36 pages. arXiv admin note: substantial text overlap with arXiv:2203.10467

References in corpus (5)

• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Gravity and the Noncommutative Residue for Manifolds with Boundary
• Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
• Noncommutative geometry and lower dimensional volumes in Riemannian geometry
• A Kastler-Kalau-Walze type theorem for the J-twist D_J of the Dirac operator