A construction of critical GJMS operators using Wodzicki's residue
William J. Ugalde
Abstract
For an even dimensional, compact, conformal manifold without boundary we construct a conformally invariant differential operator of order the dimension of the manifold. In the conformally flat case, this operator coincides with the critical GJMS operator of Graham-Jenne-Mason-Sparling. We use the Wodzicki residue of a pseudo-differential operator of order -2, originally defined by A. Connes, acting on middle dimension forms.
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