The decomposition of Global Conformal Invariants V
Differential Geometry
2009-12-21 v1
Abstract
This is the fifth in a series of papers where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of ``global conformal invariants''; these are defined to be conformally invariant integrals of geometric scalars. The conjecture asserts that the integrand of any such integral can be expressed as a linear combination of a local conformal invariant, a divergence and of the Chern-Gauss-Bonnet integrand. The present paper complements [6] in reducing the purely algebraic results that were used in [3,4 to certain simpler Lemmas, which will be proven in the last paper in this series, [8].
Keywords
Cite
@article{arxiv.0912.3764,
title = {The decomposition of Global Conformal Invariants V},
author = {Spyros Alexakis},
journal= {arXiv preprint arXiv:0912.3764},
year = {2009}
}
Comments
87 pages; replaced old preprint by six papers