Q-Curvature, Spectral Invariants, and Representation Theory

Details Q-Curvature, Spectral Invariants, and Representation Theory Q-Curvature, Spectral Invariants, and Representation Theory

2007-09-16

arxiv.org/abs/0709.2471v1

SIGMA 3 (2007), 090, 31 pages

Mathematics

Differential Geometry

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in

Scientific paper

10.3842/SIGMA.2007.090

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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