This article is cited in 3 papers

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

Spyros Alexakis

Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, Canada

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.

Keywords: conormal geometry; renormalized volume; global invariants; Deser–Schwimmer conjecture.

MSC: 53B20; 53A55

Received: April 1, 2010; in final form February 15, 2011; Published online February 26, 2011

Language: English

DOI: 10.3842/SIGMA.2011.019

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ArXiv: 0912.3757