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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 019, 41 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.019 (Mi sigma577) 		 
This article is cited in 3 scientific papers (total 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
Full-text PDF (697 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2011.019
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.
Received: April 1, 2010; in final form February 15, 2011; Published online February 26, 2011
Bibliographic databases:
Document Type: Article
MSC: 53B20; 53A55
Language: English
Citation: Spyros Alexakis, “The Decomposition of Global Conformal Invariants: Some Technical Proofs. I”, SIGMA, 7 (2011), 019, 41 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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