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

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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dc.contributor.author	Alexakis, S.
dc.date.accessioned	2019-02-11T15:15:25Z
dc.date.available	2019-02-11T15:15:25Z
dc.date.issued	2011
dc.identifier.citation	The Decomposition of Global Conformal Invariants: Some Technical Proofs. I / S. Alexakis // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 26 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53B20; 53A55
dc.identifier.other	DOI:10.3842/SIGMA.2011.019
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146788
dc.description.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.	uk_UA
dc.description.sponsorship	This work has absorbed the best part of the author’s energy over many years. This research was partially conducted during the period the author served as a Clay Research Fellow, an MSRI postdoctoral fellow, a Clay Liftof f fellow and a Procter Fellow. The author is immensely indebted to Charles Fef ferman for devoting twelve long months to the meticulous proof-reading of the present paper. He also wishes to express his gratitude to the Mathematics Department of Princeton University for its support during his work on this project	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	The Decomposition of Global Conformal Invariants: Some Technical Proofs. I	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA