Some Notes on Dirac operators on the ${\mathrm{S}}^3$ and ${\mathrm{S}}^2$ spheres

Fabio Di Cosmo, Alessandro Zampini

We describe both the Hodge - de Rham and the spin manifold Dirac operator on the spheres ${\mathrm{S}}^3$ and ${\mathrm{S}}^2$, following the formalism introduced by Kähler, and exhibit a co…