The ${\mathrm{L}}^p$-index of the Hodge-Dirac operator on compact Riemannian manifolds

Cédric Arhancet

We investigate the spectral and index-theoretic properties of the Hodge-Dirac operator $D=\mathrm{d}+{\mathrm{d}}^{\ast }$ acting on the Banach space ${\mathrm{L}}^p({\Omega }^{\bullet }(M))$ of di…