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

2024/12/12 by Jin Hong, Hong, Jin, Siyao Liu +3
Mathematics · #Spectral Theory in Mathematical Physics #Algebraic and Geometric Analysis #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2412.08872

Abstract

In this paper, we give a Lichnerowicz type formula for the J-twist of the Dirac operator with torsion. And we prove a Kastler-Kalau-Walze type theorem for the J-twist of the Dirac operator with torsion on 4-dimensional and 6-dimensional almost product Riemannian spin manifold with boundary.

Related

• The general Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator
• The Kastler-Kalau-Walze type theorems about J-Witten deformation
• Twisted Dirac Operators and the noncommutative residue for manifolds with boundary II
• Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary
• On K-K-W Type Theorems for Conformal Perturbations of Twisted Dirac Operators