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

Abstract

In this paper, we give a Lichnerowicz type formula for the J-twist D_J of the Dirac operator. And we prove 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.

45 pages. arXiv admin note: text overlap with arXiv:2201.10793

References in corpus (4)

• 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

Cited by in corpus (2)

• Spectral forms and de-Rham Hodge operator
• The J-twist D_J of the Dirac operator and the Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary