On the $L^p$ index of spin Dirac operators on conical manifolds

André Legrand, Sergiu Moroianu

We compute the index of the Dirac operator on spin Riemannian manifolds with conical singularities, acting from $L^p({\Sigma }^{+})$ to $L^q({\Sigma }^{-})$ with $p,q>1$. When $1+\frac{n}{p}-\frac{n}{…