Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric

Lashi Bandara, Alan McIntosh, Andreas Rosén

We prove that the Atiyah-Singer Dirac operator ${\mathrm{D}}_{\mathrm{g}}$ in ${\mathrm{L}}^2$ depends Riesz continuously on ${\mathrm{L}}^{\infty }$ perturbations of complete metrics $…