Q-Curvature, Spectral Invariants, and Representation Theory
Differential Geometry
2008-04-24 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0709.2471,
title = {Q-Curvature, Spectral Invariants, and Representation Theory},
author = {Thomas P. Branson},
journal= {arXiv preprint arXiv:0709.2471},
year = {2008}
}
Comments
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/