Conformal Perturbations of modified Novikov Operators and the Kastler-Kalau-Walze type theorem
Sining Wei, Yong Wang
TL;DR
This paper establishes Kastler-Kalau-Walze type theorems for conformally perturbed modified Novikov operators on 4D and 6D compact manifolds, with and without boundary, advancing geometric analysis in spectral theory.
Contribution
It introduces new Kastler-Kalau-Walze theorems specifically for conformal perturbations of modified Novikov operators on higher-dimensional manifolds.
Findings
Derived Kastler-Kalau-Walze type formulas for 4D and 6D cases
Extended results to manifolds with boundary and without boundary
Enhanced understanding of spectral invariants under conformal perturbations
Abstract
In this paper, we obtain two Kastler-Kalau-Walze type theorems for conformal perturbations of modified Novikov Operators on four-dimensional and six-dimensional compact manifolds with (respectively without)boundary.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Spectral Theory in Mathematical Physics · Point processes and geometric inequalities