The Dirac Operator on Generalized Taub-NUT Spaces
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We find sufficient conditions for the absence of harmonic L2 spinors on spin manifolds constructed as cone bundles over a compact Kähler base. These conditions are fulfilled for certain perturbations of the Euclidean metric, and also for the generalized Taub-NUT metrics of Iwai-Katayama, thus proving a conjecture of Vişinescu and the second author.
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