Vertex Algebroids over Veronese Rings
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148079 |
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| Zitieren: | Vertex Algebroids over Veronese Rings / F. Malikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 25 назв. — англ. |
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Malikov, F. 2019-02-16T20:44:18Z 2019-02-16T20:44:18Z 2008 Vertex Algebroids over Veronese Rings / F. Malikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 25 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 14Fxx, 81R10; 17B69 https://nasplib.isofts.kiev.ua/handle/123456789/148079 We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at a point. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. The author would like to thank N. Nekrasov and especially V. Hinich for interesting discussions and for bringing to his attention. The paper was completed at the IHES in Bures-sur-Yvette. We are grateful to the institute for hospitality and excellent working conditions. This work was partially supported by an NSF grant. Special thanks go to V. Gorbounov and V. Schechtman. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Vertex Algebroids over Veronese Rings Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Vertex Algebroids over Veronese Rings |
| spellingShingle |
Vertex Algebroids over Veronese Rings Malikov, F. |
| title_short |
Vertex Algebroids over Veronese Rings |
| title_full |
Vertex Algebroids over Veronese Rings |
| title_fullStr |
Vertex Algebroids over Veronese Rings |
| title_full_unstemmed |
Vertex Algebroids over Veronese Rings |
| title_sort |
vertex algebroids over veronese rings |
| author |
Malikov, F. |
| author_facet |
Malikov, F. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at a point.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148079 |
| citation_txt |
Vertex Algebroids over Veronese Rings / F. Malikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 25 назв. — англ. |
| work_keys_str_mv |
AT malikovf vertexalgebroidsoververoneserings |
| first_indexed |
2025-12-07T20:30:06Z |
| last_indexed |
2025-12-07T20:30:06Z |
| _version_ |
1850882818343698432 |