Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary

الملخص EN

In this paper, we give two Lichnerowicz-type formulas for modified Novikov operators.

We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary.

We also compute the spectral action for Witten deformation on 4-dimensional compact manifolds.