The Decomposition of Global Conformal Invariants: Some Technical Proofs. I

Abstract

This paper forms part of a larger work 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.

References in corpus (4)

• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
• The decomposition of Global Conformal Invariants I: On a conjecture of Deser and Schwimmer
• The decomposition of global conformal invariants IV: A proposition on local Riemannian invariants
• The decomposition of global conformal invariants II: The Fefferman-Graham ambient metric and the nature of the decomposition

Cited by in corpus (1)

• Integral Kahler Invariants and the Bergman kernel asymptotics for line bundles