A construction of critical GJMS operators using Wodzicki's residue

Details A construction of critical GJMS operators using Wodzicki's residue A construction of critical GJMS operators using Wodzicki's residue

2004-03-23

arxiv.org/abs/math/0403392v2

Mathematics

Differential Geometry

19 pages

Scientific paper

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 {\sf 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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