Modified Novikov Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
Sining Wei, Yong Wang
TL;DR
This paper develops Lichnerowicz formulas and proves Kastler-Kalau-Walze type theorems for modified Novikov operators on manifolds with boundary, also computing spectral actions for Witten deformation in four dimensions.
Contribution
It introduces new formulas for modified Novikov operators and extends Kastler-Kalau-Walze theorems to manifolds with boundary, including spectral action computations.
Findings
Proved Kastler-Kalau-Walze type theorems for modified Novikov operators
Derived Lichnerowicz type formulas for these operators
Computed spectral actions for Witten deformation in 4D
Abstract
In this paper, we give two Lichnerowicz type formulas for modified Novikov operators. We prove KastlerKalau-Walze type theorems for modified Novikov operators on compact manifolds with (resp.without) boundary. We also compute the spectral action for Witten deformation on 4-dimensional compact manifolds.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory