A construction of critical GJMS operators using Wodzicki's residue

William Ugalde
(Purdue University)

Abstract: For an even dimensional, compact, conformal manifold M without boundary we construct critical GJMS operators. We use the Wodzicki residue of the product [F,f][F,h] acting on the square integrable sections of middle dimension forms of M, where F=2D-1 with D the orthogonal projection on the space of exact forms."