The two-sided weighted Dirac spectrum varies continuously with the weight in a uniformly elliptic class and satisfies a Lipschitz estimate in the arsinh metric for smooth families.
Existence results for a super-Liouville equa- tion on compact surfaces
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Continuity of Weighted Dirac Spectra
The two-sided weighted Dirac spectrum varies continuously with the weight in a uniformly elliptic class and satisfies a Lipschitz estimate in the arsinh metric for smooth families.