Conformal Perturbations of Twisted Dirac Operators and Noncommutative Residue

Abstract

In this paper, the authors obtain two kinds of Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of signature operators by a vector bundle with a non-unitary connection on six-dimensional manifolds with (respectively without) boundary.

Keywords

Conformal perturbations of twisted Dirac operators / Conformal perturbations of twisted signature operators / Noncommutative residue / Non-unitary connection / 53C40 / 53C42

References

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