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arXiv · 0709.2471

Q-Curvature, Spectral Invariants, and Representation Theory

Thomas P. Branson
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Abstract

We give an introductory account of functional determinants of elliptic operators on manifolds and Polyakov-type formulas for their infinitesimal and finite conformal variations. We relate this to extremal problems and to the Q-curvature on even-dimensional conformal manifolds. The exposition is self-contained, in the sense of giving references sufficient to allow the reader to work through all details.

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Thomas P. Branson. 2007-09-16. Q-Curvature, Spectral Invariants, and Representation Theory. https://doi.org/10.3842/sigma.2007.090

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