Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions

Lashi Bandara, Andreas Rosén

On a smooth complete Riemannian spin manifold with smooth compact boundary, we demonstrate that the Atiyah-Singer Dirac operator ${\mathrm{D}}_{\mathcal{B}}$ in ${\mathrm{L}}^2$ depen…