2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/192850We study the solutions of the Dirac equation in the background of the Nutku helicoid metric. This metric has curvature singularities, which necessitates imposing a boundary to exclude this point. We use the Atiyah-Patodi-Singer non local spectral boundary conditions for both the four and the five dimensional manifolds.16 pages, 1 figure, TeX file using boxedeps. Replaced by the revised versionGeneral Relativity and Quantum CosmologyMathematical Physicstext