$L^p$-Analysis of the Hodge--Dirac operator associated with Witten Laplacians on complete Riemannian manifolds

Jan van Neerven, Rik Versendaal

We prove $R$-bisectoriality and boundedness of the $H^{\infty }$-functional calculus in $L^p$ for all $1<p<\infty$ for the Hodge-Dirac operator associated with Witten Laplacians on co…