The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146788 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707707815919616 |
|---|---|
| author | Alexakis, S. |
| author_facet | Alexakis, S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T17:06:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146788 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:06:29Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Alexakis, S. 2019-02-11T15:15:25Z 2019-02-11T15:15:25Z 2011 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. 1815-0659 2010 Mathematics Subject Classification: 53B20; 53A55 DOI:10.3842/SIGMA.2011.019 https://nasplib.isofts.kiev.ua/handle/123456789/146788 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. 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 en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Decomposition of Global Conformal Invariants: Some Technical Proofs. I Article published earlier |
| spellingShingle | The Decomposition of Global Conformal Invariants: Some Technical Proofs. I Alexakis, S. |
| title | The Decomposition of Global Conformal Invariants: Some Technical Proofs. I |
| title_full | The Decomposition of Global Conformal Invariants: Some Technical Proofs. I |
| title_fullStr | The Decomposition of Global Conformal Invariants: Some Technical Proofs. I |
| title_full_unstemmed | The Decomposition of Global Conformal Invariants: Some Technical Proofs. I |
| title_short | The Decomposition of Global Conformal Invariants: Some Technical Proofs. I |
| title_sort | decomposition of global conformal invariants: some technical proofs. i |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146788 |
| work_keys_str_mv | AT alexakiss thedecompositionofglobalconformalinvariantssometechnicalproofsi AT alexakiss decompositionofglobalconformalinvariantssometechnicalproofsi |