Low energy resolvent for the Hodge Laplacian: Applications to Riesz transform, Sobolev estimates and analytic torsion

Colin Guillarmou, David A. Sher

On an asymptotically conic manifold $(M,g)$, we analyze the asymptotics of the integral kernel of the resolvent $R_q(k):=({\Delta }_q+k^2{)}^{-1}$ of the Hodge Laplacian ${\Delta }_q$ on $q$-forms a…