A Construction of Critical GJMS Operators Using Wodzicki's Residue |
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Authors: | William J Ugalde |
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Institution: | (1) Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, USA |
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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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Keywords: | |
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