On K-K-W Type Theorems for Conformal Perturbations of Twisted Dirac Operators
Jian Wang, Yong Wang
TL;DR
This paper establishes two Kastler-Kalau-Walze type theorems related to conformal perturbations of twisted Dirac and signature operators on four-dimensional manifolds, with considerations for boundary conditions.
Contribution
It provides new Kastler-Kalau-Walze theorems specifically for conformal perturbations of twisted Dirac and signature operators on four-dimensional manifolds, including boundary cases.
Findings
Proved Kastler-Kalau-Walze type theorems for twisted Dirac operators
Extended results to twisted signature operators
Addressed both boundary and non-boundary cases
Abstract
In this paper, we prove two Kastler-Kalau-Walze type theorems for conformal perturbations of twisted Dirac operators and conformal perturbations of twisted signature operators on four-dimensional manifolds with (resp. without) boundary.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Spectral Theory in Mathematical Physics · Holomorphic and Operator Theory